Math Essentials Spiral Review Warm-ups

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1. Order from least to greatest: 1.2, 1.23, 1.02
Date ________ Score ________
2. Simplify: 5  2  8 
3. If a  3 and b  4 , then a 2 b 
4. Find the next two numbers in the following pattern: 3, 6, 9, 12, ___, ___
5. Simplify: 4 2 
6. Find 2a + 3b – c if a = 5, b = 2, and c = 3
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Date ________ Score ________
1. Order from least to greatest: 2, 0.55, ½
2. Simplify: 7x.08
3. If a  3 and b  8 , then b  2a 
4. Find the next two numbers in the following pattern: 1, 5, 9, 13, ___, ___
5. Simplify: 0.55 + 0.4
6. Simplify: 33÷1.1
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1. Order from least to greatest: 0.3, ½, 0.56
2. Simplify:
Date ________ Score ________
3
24
3. If a  3 and b  4, then a 2  b 
4. Find the next two numbers in the following pattern: 16, 11, 6, ____, _____
5. 255x50 =
6. Simplify:
3 5
 =
4 4
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1
1. Order from greatest to least: , 0.3, 0.33
3
2. Simplify:
4 1

8 8
3. If a  3 and b  0, then 2a 3b 
4. Solve: 4 ( 10 + 2) =
5. 4 2  1 =
6. Solve: x + 3 = 8
Date ________ Score ________
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Date ________ Score ________
1. Find the next two numbers in the following pattern: 2, 4, 8, ____, _____
2. Simplify:
1 1

2 4
3. If a  8 and b  2, then a  3b 
4. Divide and round to the nearest tenth : 46÷3 =
5. Solve for x: x + 4 = 12
6. Simplify 3(2 + 4) – 2
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Date ________ Score ________
1. Place the following numbers in order on the number line: 2, 5, -2, ½
2. Simplify:
1
1
1
3
3
3. 144÷4 =
4. Simplify using order of operations: 2 + 3 ( 9 – 5 ) =
1
5. Compare: 0.25 ____
3
6. Simplify: 36
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Date ________ Score ________
1 1 1
1. Place the following in order on the number line: 1 , , , 
3 2 2
2. Simplify:
4 5
3. Compare: 6 ____ 35
4. Find the next two numbers in the following pattern: 8, 12, 17, 23, ____, _____
5. Simplify:
6. Simplify:
3 2 1
 
5 3 15
2 3

3 4
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Date ________ Score ________
1
1. Order the following numbers on the number line: 2,1, , 0.75
2
2. Simplify: 2 
1
2
3. Simplify: 3  (2  1)  4
4. Find the seventh term in the following pattern: 1, 1.5, 2, 2.5, 3 …
1
5. Compare: 1  3 ____
3
6. What is 50% of 106?
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1. Which two whole numbers does
Date ________ Score ________
46 lie between on the real number line?
2. Classify each as rational or irrational:
2
, 0.33,
3
4, 
3. What is 65% of 200?
4. If we start with 3 pennies in a jar, but add 5 pennies each day, how many pennies
would be in the jar at the end of day 1? ____ at the end of day 2?____ 3?_____
5. Solve for x: x – 3 = 7
6. Compare: 30% _____ 0.33
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Date ________ Score ________
1. Order from greatest to least:
1 3 1
, ,
16 8 2
2. Simplify: 20  32  2(4  3)
3. Write
1
as a decimal.
5
4. What two whole numbers does
12 lie between on the real number line?
5. Classify each as rational or irrational: 4,
6. Solve for x: 2x = 10
9,

2
,
5
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1. Which two whole numbers does
Date ________ Score ________
47 lie between on the real number line?
2. Classify each as rational or irrational:
1
, 0.33,
4
18, 
3. If a shirt is on sale for 15% off the regular price of $20, how much is the sale
price?
4. Find the next two numbers in the pattern: 9, 18, 27, 36, ____, _____
5. Simplify: 5 
6. Compare:
1
5
2
_____ 0.6
3
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Date ________ Score ________
1 2 1
, ,
1. Order from greatest to least:
18 9 3
2. Simplify: 20  32  2(4  3)
3. Write
1
as a decimal.
12
Simplify the following fractions:
9
10000
4.
5.
27
25000
6.
2.5
5
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Date ________ Score ________
1. Simplify: 24  81  3
1 2 3
2. Simplify: 2 
5 15 2
3. Simplify: 2(3)  (1  3)  23
4. If x  4 , y = 3, and z = 1, then y( x  z) =
5. Order from least to greatest:
2 3 3
, ,
3 4 2
6. Solve for y: 3y = 27
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Date ________ Score ________
1 3 1
1. Place the following numbers in order on the number line: , , - , -1
3 2 2
(3) 2  5

2
24 lies between which two whole numbers on the real number line?
2. Simplify:
3. The
4.
2
in repeating decimal form.
3
5. Write 1.23 as a percentage.
Write
6. Compare: 180% _____ 2
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1. Order from least to greatest:
Date ________ Score ________
1
, 2, 0
2
2. Simplify: 1  2 
3. If a  3 and b  4 , then a 2 b 
4. Simplify: 3x – 2x
5. Simplify 3(2 + 4) - 2
6. Compare: 6 ____ 35
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1. Place the following in order on the number line:
Date ________ Score ________
2 1
, , 1
3 2
2. Simplify: 3 12 1
3. If a   3 and b  4, then a  b 
4. Simplify:
16  4
1 2 1
 
5 3 15
6. Write 500% as a decimal.
5. Simplify:
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1. Order from least to greatest:
Date ________ Score ________
1
2, 2, , 2
2
2. Simplify: 4 + (-7) =
3. Find the next two numbers in the following pattern: 5, 2, -1, -4, ___, ___
4. Find -2a + b if a = 5 and b = 15
5. Simplify:
2 3

3 4
6. What is 10% of 5?
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Date ________ Score ________
1. What is 40% of 10?
2. Simplify: 2 – 3 + 1
3. If a  3 and b  8 , then 2a b 
4. Classify each as rational or irrational:
2
, 0.33,
3
4, 
5. Simplify: 3(2-1) +3
6. Simplify: (-15) + (-5)
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Date ________ Score ________
1. Order from least to greatest: 0.3, ½, 0.56
2. Simplify: 4 - (-7) =
3. If a  0 and b   4, then a 2  b 
4. Find the next two numbers in the following pattern: 2, 8, 16, ____, _____
5. - 3 + (- 5) =
6. Simplify: 20  32  2(4  3)
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1. What two whole numbers does
2. Simplify:
Date ________ Score ________
19 lie between on the real number line?
(3) 2  5

2
3. Simplify: 3a + 5 – 2a
4. Simplify: -3(4) – 4
5. Simplify: 32
6. Write 87% as a decimal and a fraction.
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Date ________ Score ________
1. Simplify by combining like terms: 2y – y + x + 1
2. Simplify: 3x – 7x + 3
1 2 3
3. Simplify: 2 
5 15 2
4. 4 ( x + 2) =
5. 2  52 
6. Simplify: 24  81  3
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1. Compare: 180% _____ 2
Date ________ Score ________
2. Simplify: a 2  3a  2a 2
3. If a   3 and b  2 , then a 2 3b 
4. Simplify using the distributive property: -2(x + 1)
5. 2  52 
6. Order of operations: 2 + 3 ( 5 – 9 ) =
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Date ________ Score ________
1. Find the next two numbers in the following pattern: 2, -4, -10, ____, _____
2. Simplify: 3( x - 2) =
3. Write
1
as a decimal.
5
4. x x 
5. -6x – (-5x) =
6. Estimate: 41 9 
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Date ________ Score ________
1. Estimate: 44.9  5
2. Simplify: 3x x
3. 2 (x + 1) + 7x =
4. Compare: 6 ____ 35
5. Order from greatest to least:
6. 62  4(3) =
1 3 1
, ,
16 8 2
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Date ________ Score ________
1. Place the following in order on the real number line: negative five, negative 8, two
times negative 2.
2. Insert <, =, > to make a true statement.
3.
82%
0.36
3 2

5 5
4. Evaluate: 14  6
5. Simplify: 2x x  3
6. Simplify: -(-(-2))
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Date ________ Score ________
1. Simplify: 4(x - 2) =
2. Simplify:  3  2 (5) 
Simplify using rules of exponents (Reference Sheet)
3. x 2 x 3
5.
x3
x2
4. ( x 2 )3
6. x 2  x 3
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Date ________ Score ________
Simplify:
3  2
  
1.
4  5
3  2
  
2.
4  5
Simplify using rules of exponents (reference sheet)
3. 2 x 2 3x
4. 2 x 2  3 x
5. 2( x 2 )3
6. (2 x 2 )3
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Date ________ Score ________
22
1. Amy had a score of
on her math quiz. Did she get an A? Her teacher gives A’s
25
for scores of 90% or higher.
2. Write
1
as a repeating decimal.
3
3. Place the following numbers in order on the number line:
Simplify each expression:
4. a 2  3a  2a 2
5. a 2 3a 2a 2
1 3 1
, , - , -1
3 2 2
6. (3)0
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Date ________ Score ________
1. If x  4 , y = 3, and z = 1, then y( x  z) =
2.
– (-(-(-(-(56))))) Is the solution negative or positive? Explain
Simplify:
3. 1 + 2( x + 1)
4. 1 + 2( x - 1)
5. 1 – 2(x + 1)
6. 1 – 2(x – 1)
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Date ________ Score ________
1
1. Order from greatest to least: , 0.3, 0.33
3
2
3
 
2.
x  =
7
4
33
3. Simplify the fraction:
121
4.
5 6
 
21 7
Simplify using rules of exponents (reference sheet)
5. (12345)
0

4 x2 
6.  3x 

x 

0
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Date ________ Score ________
1. If x  81 , y = 3, and z = 1, then y( x - z) =
2.
– (-(-(-56)))) Is the solution negative or positive? Explain
Simplify:
5
1
2
3.
6
3
5
1
2
4.
6
3
5
1
5.  2
6
3
5
1
6.  2
6
3
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1. Order from greatest to least: 0.56, 0.555, 0.6
2
 3
2.
x  =
7
 4
Date ________ Score ________
3. What is the sale price of a pair of jeans on sale for
1
off. The regular cost of
3
the jeans is $45.
6 6
4. 2  
7 7
Simplify using rules of exponents (reference sheet)
5. (123452 )0
6.
4 xy
8x2 z
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1. 6  4(3) =
Date ________ Score ________
2
2. Simplify: a 2  3a  2a 2
3.
3 3


5 10
4. Simplify: 3(x – 2) – x
5. Solve: 3x = 18
6. 3 2 + 2 2 =
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Date ________ Score ________
1. Place the following in order on the number line:
4 3
, , 1
3 2
2. Write 0.08 as a percentage.
3. Simplify:
4. Simplify:
16  9
16  9
5. Solve: x + 9 = 8
6. Simplify x 2 x
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Date ________ Score ________
1
1. Which of the following numbers are irrational?  4, 2, , 
2
2. 2  52 
3. Solve for m: -5m = 40
4. Find –a2 + b if a = 5 and b = 15
2 3
5. Simplify:  
3 4
6. 2x (x + 1) =
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1. What is 44% of 10?
2.
Date ________ Score ________
(3) 2  5

2
3. If a  3 and b   1, then 2a b 
4.
5
2
3
5. True of false, x = 2 solves the following equation : 2a + 4 = 6
6. Solve: 2x + 1 = 5
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Simplify each expression:
1. -3x – 4x
Date ________ Score ________
2. -3x – (-4x)
3. -3x + 4y
Solve each of the following equations for b:
4. b + 1 = 28
5. 3b= 27
6. 3b + 1 = 28
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Date ________ Score ________
1. Graph x < 1 on the real number line?
Simplify each of the following expressions:
(3) 2  5
2.

2
3. 3  ( x  1)
4. 32
Solve for y in each of the following equations:
5. y  1  x
6. y  3 x  5
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Date ________ Score ________
If we start with 4 pennies in a jar, but add 3 pennies each day, how many pennies would
be in the jar at the end of
1. day 1? ____
2. day 2?____
3. day 3?_____
Simplify each expression using rules of exponents. (reference sheet)
4x2
5.
2x
4. 3x xy
5
6.
4xy
x2
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Date ________ Score ________
1. Compare: 100% _____
4
3
2. Write an equation for twice a number plus 2 is four. Let x be the variable.
3. Simplify using the distributive property: 2(x + 1) + 3(x + 1)
4. Order of operations: 2 + 3 ( 5 – 9 ) =
Solve each equation or inequality:
5. 2(x + 1) = 5
6. 2x > 4
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Date ________ Score ________
1. Find the next two numbers in the following pattern: 2,-4, 8, ____, _____
2. Solve for x and graph your solution on the real number line: 1 + 2x < 17
Change each fraction into an equivalent decimal.
1
2
3.
4.
5
3
5.
4
9
6.
1
100
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Date ________ Score ________
1. Estimate the quotient: 101  26 
2. Simplify:  2 y 
3
3. If Margarita charges $7 per hour for babysitting, and baby sits for 3.5 hours
every weekday, how much does she make in one week?
4. Simplify: 2(x + 1) – (-7x)
5. Order from greatest to least:
1 3 1
, ,
16 8 2
6. Solve: 2d + 3(d + 1) = 18
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Date ________ Score ________
1. Find the next two numbers in the following pattern: 1, 2, 4, ____, _____
2. Solve for x and graph your solution on the real number line: -2x + 1 < 17
Change each percentage into an equivalent fraction.
3. 25%
4. 12%
5. 1.22%
6. 0.22%
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1. Estimate the quotient: 99  4.9 
2. Simplify:  2 y 2 
Date ________ Score ________
3
3. Simplify using order of operations: 2   3  (4  2)
2
4. Simplify: -(x + 1) – (-7x)
5. Order from greatest to least:
6. Solve:
1 3 2
, ,
10 8 11
1
x  12  24
2
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Date ________ Score ________
1. Place the following in order on the real number line: five halves, three and onetenth, two less than 7.
2. Insert <, =, > to make a true statement.
1
3
0.36
 3   15 
   
 5  5 
4. Evaluate: 6  14
3.
5. Solve: 2x  16
6. What is one half of
1
?
4
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Date ________ Score ________
1
1. Solve: x   1
2
2. Simplify:  3  2 (5) 
Simplify using rules of exponents (Reference Sheet). Write your answers with
positive exponents.
3. x 2
4. ( x 3 )3
5.
x3
x 2
6. 3x 2  x 3
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Date ________ Score ________
Simplify:
1  2
 
1.
4  8
1  2
 
2.
4  8
Which of the following expressions are equal?
x
3. 2x  2 x ?
4.  2 x ?
2
5.
1
x
x ?
2
2
6. 2  x 
1
x?
2
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1. Jose had a score of
2. Write
Date ________ Score ________
19
on his math quiz. What percentage did he receive?
20
2
as a repeating decimal.
3
3. Place the following numbers in order on the number line:
Simplify each expression:
4. a 2  3a  2a 2
5. 2 x( x  3)
1 3 1
, , - , -1
3 2 2
6. (3)0
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Date ________ Score ________
Solve each equation of inequality:
1. 2x 1  7
2. 3 
3.
1
x
2
1
1
x
2
4
x 3

8 4
Simplify each of the following fractions:
27
5.
81
4.
6. 2
7
21
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Date ________ Score ________
1. Order from least to greatest: 2, 1/3, 5,
16
2. Write 25% as a fraction.
Solve for x:
x 20

3.
5 100
4.
25 5

100 x
Simplify each expression:
5. 2 y  3 x  (4 y )
1
3
a a
2
2
Name _____________________________ Period__________ Group_____________
6.
Date ________ Score ________
1. Place the following in order on the number line: 1 ,
1 1 1
, ,
3 2 2
2. Solve for t: -3t + 6 > 15
3. Dylan is making cookies. The recipe calls for 2 cups of flour to make 8 dozen
cookies. How many cups of flour does Dylan need to make 2 dozen cookies?
4. Simplify:
(4) 2  6

2
5. What two whole numbers is
40 between?
6. Three-fourths is equivalent to how many 100ths?
Name _____________________________ Period__________ Group_____________
Date ________ Score ________
3 2 1
  
5 3 15
2. 62  4(2) 
1.
3. Solve for d: 2d + 3(d + 1) = 18
4. Compare:
2
3
_____
3
4
5. What is 20% of 10?
y
3

10 15
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6. Solve for y:
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Solve.
1
1. x   1
2
Date ________ Score ________
2. 2x + 4x + 2 = 26
3. 3(2x – 4) = 24
4. A photo is 3 inches wide and 1 inch tall. If it is enlarged to a width of 6 inches
then how tall will it be?
Each pair of figures is similar. Find the missing side. Round your answers to the nearest
tenth.
5.
8
4
6.
16
x
x
4
3
2
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Date ________ Score ________
Solve.
1. Kim enlarged the size of a painting to a width of 4 inches. What was the height if
it was originally 3 inches tall and 2 inches wide?
2. Simplify: 3 + 2(x – 1)
1
3. Order from least to greatest: 2, , 4, 15
2
Solve each equation for y.
4. y + 2 = 4x – 4
5. y + 4x = 4
6. 2y = 4x + 4
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Date ________ Score ________
1. Simplify: 4x – 7x + 3z
2. Order from greatest to least:  20, 4,5,  30
3. Simplify: a 2  3a  2a 2  5a
4. On a map 0.5inches equals one mile. If two cities are 3 inches away how many
miles is this?
5.
62  4(2) 
6. If the perimeter of this right triangle is 34 units, find the value of x.
4x
5x
7
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1. If a   3 and b  4, then a b 
Date ________ Score ________
2
5 1
2. Simplify: 2 
8 16
3. Simplify: 32  4
Simplify using rules of exponents:
4.
(12345)0
5.
2 x3
4y
6.
2 x3 y 2
4y
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1. Order from greatest to least:
Date ________ Score ________
1
, 0.3, 0.33
3
2
3
x  =
7
4
Aly earns $7 per week and is currently saving all of her money. How much will she have
at the end of
3. week 1? ____
4. week 2?____
5. week 3?____
2. 1
6. Graph the points (2, -5) and (4, 2).
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
5 6
 
21 7
3  2
  
2.
4  5
1. 1
3. Simplify:  3  2 (5) 
4. If x  4 , y = -3, and z = 1, then y( x  z) =
5. Place the following numbers in order on the number line:
6. Solve and round your answer to the nearest tenth:
1 3 1
, , - , -1
3 2 2
3.5 8

p 9
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Tom sells baseball cards at 10 for 35 cents. How much would you pay Tom for 12
baseball cards?
2.
75 is between what two whole numbers?
3. If you travel 228 miles in 6 hours what is your average speed?
2.8 x

7 10
5. Are the two triangles below similar figures
(proportional)?
5
6
4. Solve:
3
4
6. Plot the points: (-3, -4) and (2, 3)
Name _____________________________ Period__________ Group_____________
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1. If a = -1 then a  a 
3
Date ________ Score ________
2
2. If you can buy 24 ounces of applesauce for $1.25 how much are you paying per
ounce?
3. Solve:
1 100

1.25 t
Simplify each expression. Write your answers with positive exponents.
4. 2 1
5. a 2 3a 2a 2
6. (32 ) 2
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Simplify:
3  2
1  
1.
4  5
3  2
1  
2.
4  5
3. Find the next number in the following pattern: 1, 3, 9, 27, _____
Simplify each expression:
4.
9  16
5.
16  9
6.
9
16
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Solve and graph on the real number line: 3x + 6 < 0
2. Stan typed 90 pages in 8 hours. Jan typed 100 pages in 9 hours. Who has the
higher rate?
(4) 2  6

3. Simplify:
2
2
4. Write
as a repeating decimal.
3
5. What is 12% of 10?
6. Solve: 2d + 3(d + 1) = 18
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Reduce the fraction:
11

77
2. Write the mixed number as an improper fraction: 2
3.  5 
1

12
2
=
3
4. Simplify: 2(x + 1) – (-7x)
5. Insert <, =, > to make a true statement:
6. What is one half of
2
____ 0.67
3
3
?
8
Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
Date ________ Score ________
If the figures are proportional find the missing side. Round your answer to the nearest
one hundredth. The pictures are not drawn to scale.
1.
1
2
2.
5
7
3
x
3
x
Which of the following expressions are equal?
1x 1
 x?
3. 3x  3 x ?
4.
3 3
5.
1
x
x ?
3
3
6. x  3 
1
x?
3
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Write 1.5 as a percentage.
2. What two whole numbers is  18 between?
3. If x  3 find:
x2  5
2
4. Solve for x: x 
3
2
2
5. Estimate the quotient: 1001  99.8 
6. Simplify: 3  ( x  1)
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Evaluate each of the following expressions:
1. 144  2 
2. 144  20 
3. 14.4  2 
4. 14.4  0.2 
5. Classify each as rational or irrational:
6. Find the perimeter if x = 2.
4x + 1
2
, 0.33,
3
6, 
5x + 3
7
Name _____________________________ Period__________ Group_____________
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Solve each and graph on the real number line:
1. 2x + 1 = 4
Date ________ Score ________
2. 2x + 1 > 4
3. 2x + 1 ≥ 4
Solve each for y in terms of x:
4. 2y = x
5. y + 2 = x
6. 2y + 2x = 2
Name _____________________________ Period__________ Group_____________
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Solve each and graph on the real number line:
1. -2x – 1 = 4
Date ________ Score ________
2. -2x – 1 < 4
3. Write 1.3% as a decimal.
Solve each for y in terms of x:
4. 2y + 2x = 4x
5. y + 2x = 2x
6. 0.5y + x = 0.5
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Reduce the fraction:
4

126
2. Write the improper fraction as a mixed number:
19

12
2
3. 5  =
3
4. Solve: 2(x + 1) = 8x
5. Insert <, =, > to make a true statement:
6. What is one half of
1
____ 0.5
5
1
?
10
Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
Date ________ Score ________
If the figures are proportional find the missing side. Round your answer to the nearest
one hundredth. The pictures are not drawn to scale.
1. 1
3
2.
7
10
3
x
4
x
Which of the following expressions are equal?
3x 3
 x?
3. x  x 1?
4.
4 4
2
2x
1
x
?
6. x   2 x ?
7
7
2
Name _____________________________ Period__________ Group_____________
5.
SHOW ALL WORK
Date ________ Score ________
Simplify
(4) 2  6
1.

2
2. 2x (x - 3) =
3.
4
Solve for d:
4. 2d + 3(d + 1) = 18
5.
3 12

6 d
6. Draw the line thru the points: (-3, -4) and (1, 1)
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Simplify: 4x – 7x + 3
2. Evaluate: 3x + 2(x – 1) = 27
3. Simplify: a 2  3a  2a 2  5a
4. Solve: 2x + 3 = 4x - 4
5. Order from greatest to least: -2, 1, -4, -1/2
5x + 3
4x + 1
7
6. If the perimeter of this right triangle is 34 units, find the value of x.
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. On a map .35 inches equals one mile. If two cities are 7 inches away how many
miles is this?
2. Solve and graph your solution on the real number line: 2x + 3 > 3 + (x + 1)
3. Estimate the product: 5.03 2.99 
2

4. Circle the irrational number: 2 , 0.56, 25,
3
3
5. Solve for y in terms of x: 2(x+2) = y - 1
6. Draw a line going through the points
(2, -5) and (4, 2)
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Simplify
1. 2 (x + 1) – (-7x) =
2. If a = 3 and b = 6, then a 2  b 2 
3.  13 is between what two whole numbers?
4. If Margarita charges $6 per hour for babysitting, and baby sits for 4 hours every
weekday, how much does she make in one week?
5.
3 27

4 x
6. What is the value of y in the point (2, 3)?
Name _____________________________ Period__________ Group_____________
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Solve.
1
1. x   1
2
Date ________ Score ________
2. 2x + 4x + 2 = 26
3. 3(2x – 4) = 24
4. Complete the pattern.
5. True or false.
x
y
1
3
5
7
10 20 30 40
5  10 5 10
  ?
5
5 5
6. Simplify. -3(x – 5)
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
If the figures are proportional find the missing side. Round your answer to the nearest
one hundredth. The pictures are not drawn to scale.
1. 2.5
4
2. 3.5
7
5
x
2.5
x
Aly earns $7 per hour for a total of 20 hours per week. She is currently saving all of
her money. How much will she have at the end of
3. week 1? ____
4. week 2?____
5. week 3?____
6.
Draw a line going through the points (2, -5) and (0, 2).
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
121

11
2. Graph the line through the points in the table:
1. Reduce the fraction:
x
y
0
1
3
4
6
8
9
10
3. Does the line in your graph have a positive or
negative slope?
4. Solve: 2 + 3(4x – 6) = 20
5. What is 5% of 18?
6. Simplify: 0.55 - 0.4
Name _____________________________ Period__________ Group_____________
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1. Write 0.125 as a reduced fraction.
1
2. Simplify: 2 
2
3. 3  (2  1)  4 
4. Complete the table for a linear
pattern.
Date ________ Score ________
x
Y
1
10
3
20
5
30
7
40
5. Graph the line created by the points in the table.
You will need to label your y-axis in order to fit the
graph.
6. Why do you think we say this pattern is linear?
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. If Adel is known for making 4 out of 6 baskets while shooting free throws, how
many times would he have to shoot to make 24 baskets?
2. Solve: 3(2x – 4) = 24
3. Fill in the table for the linear function y = 2x
x -1 0 1 2
Y
4. Plot the linear function y = 2x.
1 2 3
5. Order from greatest to least:  , , , 2
2 3 2
6. Simplify:  4  5
Name _____________________________ Period__________ Group_____________
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1. Simplify: 3 + 2(x – 1)
2. Graph the function given by the table:
Date ________ Score ________
x 2 4 6
y 6 12 18
3. Is the function you graphed in number 2 linear?
 3  2 
4. 1   
 4  5 
5. If Jill mows 2 lawns in 3 hours, how long will it take her to mow 8 lawns?
6. Solve for y in terms of x: 2y + 4 = 3x
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Solve: 2(x + 3) ≤ 8(x – 1)
2. If c = -3 and d = 2, then 2c 2  5d 
3. Is the function given in the table linear (hint: graph it!)
x 0 1 2 3
y 0 1 8 27
4. Solve for y: 2y = 2x + 15
2 x 15 2 x  15
 
?
5. True or false:
2
2
2
5 x  10
6. Simplify.
5
Name _____________________________ Period__________ Group_____________
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1. Simplify: 2  3x  4  7x
Date ________ Score ________
2. Solve: 2x 1  3  4 x  4 

3. Fill in the table for y  2x  3
x -2 0 2 4
y

4. Graph the line y  2x  3
5. What is the slope of your line (use your graph)

6. Simplify: a 2  3a  2a 2  5a
Name _____________________________ Period__________ Group_____________
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Use the graph to the right to answer problems 1-3.
1. What is the x intercept?
2. What is the y intercept?
3. What is the slope of the line?
Date ________ Score ______
4. Solve for r in the equation: c  2 r
5. Solve
x 15

3 12
6. 40 is what percentage of 100?
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
In problems 1-3 graph the lines on the same coordinate grid. Be sure to label your
answers.
1. y = 3x
2. y = -3x
3. y = 3x - 1
4. Simplify: a 2  3a  2a 2  5a
5. Solve: 3x + 2(x – 1) = 27
6. What is the slope of the line drawn below?
Name _____________________________ Period__________ Group_____________
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1. Graph the line y = 3 on the coordinate grid.
2. What is the slope of your line?
3. Solve for y in the equation 3y + x = 6.
4. Find the y intercept of the line y 
5. Simplify
Date ________ Score ________
1
x2.
3
3 2 1
 
5 3 15
6. Solve the inequality for p :1  2 p  p
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Graph the line x  1 .
2. What is the slope of your line?
3.
17 is between what two whole numbers?
4. If Jose charges $7 per hour for babysitting, and
baby sits for 3.5 hours every weekday, how much
does she make in one week?
3 x

4 16
6. Solve and graph the inequality: 4  2x  4
5. Solve:
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. What is the slope of a horizontal line?
42  6
2. Simplify:

23
3. What is the x intercept of the equation y  2 x  4 ?
Which of the following are graphs of linear functions?
4.
5.
6.
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
10
14

28
2. What two whole numbers is
1. Reduce the fraction:
8
33 in between?
x
y
3. Find the rate of change (slope) according to this
table. Hint: You can graph it if you need to.
0
5
6
3
10
6
15
9
20
4
2
4. Solve: 2 + 3(4x – 6) = 20
-10
-5
5. Does the line to the right have a positive or negative
slope?
6. Write 120% as a decimal.
5
-2
-4
-6
Name _____________________________ Period__________ Group_____________
10
SHOW ALL WORK
Date ________ Score ________
1. If two pencils cost $1.50, how many pencils can you buy with $9.00?
2. What two whole numbers is
83 in between?
3. Find the rate of change (slope) according to
this table:
x
y
0
10
2
7
4
4
6
1
4. Solve: 10x – 6 = 6x + 22
5. Find the next number in the following pattern: 1, 4, 9, 16, _____
1 1
6. 2  
2 3
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. If Adel is known for making 4 out of 6 baskets while shooting free throws, how
many times would he have to shoot to make 24 baskets?
2. Order from least to greatest:
3. Find the slope.
2 3 3
, ,
3 4 2
x 1
3
5
7
y 10 20 30 40
X Y
4. If the table at the right is linear, find the
1 4
slope:
2 7
5. Are the triangles below (proportional)?
5
7
1
2
2
6. Classify each as rational or irrational: , 3, 9, 15
7
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Simplify: 3 2(x 1)
2. Estimate the sum: 223.23 + 501.28

3. Order from greatest to least: 4, 3, 4.25,  2
x 2 4 6
y 6 12 18
4. Find the slope of this linear function:

5. What is the slope of a vertical line?
6. Find the perimeter if x=4.
5x + 3
4x + 1
7
Name _____________________________ Period__________ Group_____________
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1. Solve: 4(x 1)  4 x  4
Date ________ Score ________
2. Simplify: 5x 2  3y  2x 2  y

3. If c=3 and d=-2, find 2c2-5d.

4. Find the slope of the line to the right:
5. If y  3x  4 , find y when x  2 .
5
4
3
2
1
-3
-2
-1
1
2
3
4
5
-1
-2
6. Which of the following numbers is the closest to
1 3 4 1

, , ,
zero?
10 8 3 7
-3
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Simplify: 2  3(x  4)  7x
2. Solve: 2x 1 3 2(x  4)

3.  40 is between what two integers?

Graph each of the following:
4. y  3x
5. y  3x
6. y  3x
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Simplify: 4 + 2(x – 5) – (4x)
2. Solve: 6x – 1 = 3 – 2(2x + 4)
3. Find the y intercept using the
table to the right:
3 9
4. Solve: 
4 x
x
y
0
5
1
8
2
11
5. Graph: y  3 x  1
6. What is the slope of the line x = 2?
Name _____________________________ Period__________ Group_____________
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1. Solve: 5x + 7 = 2(x + 4)
Date ________ Score ________
2. Graph the line through the points (1, 5) and (2, 8).
3. What is the slope of the line through (1, 5) and (2, 8)?
4. Simplify: 24  81  3
5. If x  25 , y = 3, and z = 1, then y( x  z) =
6. What is the slope of the line graphed below?
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Graph x  7 on the following number line.

2. Solve: 4 x  4  16
3. Order from least to greatest: 0.3334, 13 , 0.25, 38

4. Simplify using order of operations: 25  9  3 6

5. Write 1.23 as a percentage.
4 1 3
  
6.
3 8 4

Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Simplify: 2  ( x  4)  7 x
2. Solve:
2
x  1  13
3
3.  is between what two whole numbers?
Graph each of the following:
4. y  3 x  1
5. y  3x  1
6. y  3x  1
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Simplify: 4 -(x – 5) – (4x)
2. Solve:
4
x  28
7
3. Find the x-intercept using the
table to the right:
15 9

4. Solve:
4 x
x
y
0
5
1
0
2
-5
3
5. Graph: y   x  1
2
6. What is the slope of the line x = 2?
Name _____________________________ Period__________ Group_____________
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1. Order from greatest to least:
Date ________ Score ________
1
2
, 0.3,  , 0.5
3
3
2. What two integers does  5 lie between on the real number line?
3. Simplify:
9  25
4. True or false: the graph of y = 3x is linear?
5. What is the slope of the line through (-2, 3) and (2, 3) ? Hint: graph it if you are
unsure.
6. Find the perimeter if x=4.
5x + 3
4x + 1
7
Name _____________________________ Period__________ Group_____________
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1. Graph x  5  7 on the following number line.
Date ________ Score ________
2. True or false: The graph of y = 2x + 1 is linear?
3. Simplify: 2 4
4. What is the y-intercept of the graph shown?
5. Write 1.23 as a fraction.
6. What is the perimeter of a rectangle with length 5 and width 4?
Name _____________________________ Period__________ Group_____________
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Simplify each expression:
1. 2(2 x  1)
Date ________ Score ________
2. 1  2(2 x  1)
3. ( x  1)  [1  2(2 x  1)]
Find the perimeter of each of the figures below.
4.
5.
6.
3
3
5
2x
6
4
x
Name _____________________________ Period__________ Group_____________
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Simplify each expression:
1. 2 3  2 3
Date ________ Score ________
2. 2 3  2 3
3.
 3
2
Find the perimeter of each of the figures below.
4.
5.
6.
x
3x
5x
x+1
2x
4x
x
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Simplify each expression:
4
1.
2
2.
52 5
3.
22
Find the area of each of the figures below.
4.
5.
3
2
6
4
6.
2x
x
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Simplify each expression:
16
1.
2
2.
8
3.
8 2
Find the circumference of each.
4.
5.
2
6. Circle with radius 1/2
5
Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
Date ________ Score ________
Simplify each expression:
8
1.
2
2. 32  2 2
3. 1  2
Find the area of each of the figures below.
4.
5.
6
10
5
2
6.
10
Name _____________________________ Period__________ Group_____________
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Simplify each expression:
1. 1  3  2 3
Date ________ Score ________
2. 1  3  2 3
3. 1  3  2 3
4. What is the circumference of a circle with radius 4?
5. What is the area of a circle with radius 4?
6. Are the two triangles below similar figures? (are they proportional?)
7
3.5
2.5
5
Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
Date ________ Score ________
1. Place the following in order on the real number line: five halves, one-third, two
less than 4.
Solve for y in each of the following equations:
2. y  1  x
3. y  3 x  5
4. Find the volume of a cube with length 3in, width 2in, and height 5in.
5. Find the circumference of a circle with diameter 3.
6. Simplify using rules of exponents: 2x 2  x 2 
3
Name _____________________________ Period__________ Group_____________
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1. Simplify: 2  3(x  4)  7x
Date ________ Score ________
2. Solve: 2x 1 3 2(x  4)

3. 40 is between what two whole numbers?

4. What is the slope of a horizontal line?

5. Graph: y  3x  2

6. Simplify: 3 2 3  3


Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
Date ________ Score ________
Which of the following represent a graph of a linear function?
1.
2.
3.
4. What is the area of the triangle?
2.5
9
5. Complete the table for a linear function.
x
y
0
5
1
8
2
11
3
4
6. Solve for c: c 2  4
Name _____________________________ Period__________ Group_____________
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1. Simplify: 3  4
2
Date ________ Score ________
2
2. Solve (hint: use problem 1): c 2  32  42
3. Simplify:
32  42
4. Find the slope of the line shown in the graph.
5. What is the y-intercept of the line shown in the graph?
6. The slope-intercept form of a linear equation is y = mx+b, where m is the slope
and b is the y-intercept. Write an equation of the line shown in the graph.
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
x
y
1. Find the slope of the line from the table
to right:
0
5
1
10
3
15
2. What is the surface area of a cube with length 2, width 3 and height 10? Hint:
draw a picture and think about the area of each side.
3. If a   3 and b  4, then a 2  b 
4. Use the Pythagorean theorem to find the length of c.
5. Simplify using the distributive property:
6. Compare: 0.25 ____

5
c
3

3 2 3 1
1
3
Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
Date ________ Score ________
x
y
1. Find the slope of the line from the table
to right:
0
-1
1
-3
2
-5
2. What is the surface area of a cube with length 4, width 10 and height 10? Hint:
draw a picture and think about the area of each side.
3. What is the slope of the line in the equation: y = 3x – 1
4. If a  3 and b  4 , then a 2 b 
5. Use the Pythagorean theorem to find the length of c.
6. Simplify using the distributive property:
3


8
c
4
3 1
Name _____________________________ Period__________ Group_____________
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1.
Date ________ Score ________
Place the following in order on the number line: 1 ,
1 1 1
, ,
3 2 2
2. Compare: 6 ____ 35
3. Simplify:
3 2 1 
  
5  3 15 
4. What is the area of a circle with diameter 3?
5. What is 20% of 110?
6. Use the Pythagorean theorem to find b.
5
4
b
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1.
Which of the following are rational numbers?: 1 ,
1
, 35,  4
3
2. Compare: 2 ____ 5
2 1  1
3. Simplify: 2    
 3 15  5
4. What is the area of a cube which is 5inches on each side?
5. What is 25% of 110?
6. Simplify: 3  (2 y  3)  4( y  2)
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Simplify: 2  3(x  4)  7x
2. Solve: 2x 1 3 2(x  4)

3.  40 is between what two integers?
1

4. Solve and graph the inequality: x  25
2
5. A shirt is on sale for 20% off of the original price. The sale price is $20. How
much was the original price of the shirt?
6. A car travels 90 miles in 2 hours. What is the average speed? (D=RT)
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Simplify: 4 + 2(x – 5) – (4x)
2. Solve: 6x – 1 = 3 – 2(2x + 4)
3. Find the slope of the linear function using the
table to the right:
X
Y
0
5
1
8
2
11
4. What is the slope of the line x = 2?
5. What is the area of a triangle with height 4 and base 3.
6. What is 10% of 33?
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Simplify each expression:
8
1.
2
2. 5  2 5
3.
52  5
Find the area of each of the figures below.
4.
5.
x
2
6
4x
6.
2x
x
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1.
Place the following in order on the number line: 1 ,
1 1 1
, ,
3 2 2
2. Compare: 7 ____ 35
2 1 
3. Simplify:    
 3 15 
4. What is the area of a circle with diameter 3?
1
5. Simplify:  
 2
2
6. Use the Pythagorean theorem to find b.
6
10
b
Name _____________________________ Period__________ Group_____________
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1. Solve: 5x + 7 = -x + 4
Date ________ Score ________
2. Graph the line through the points (0, 5) and (1, 8).
3. What is the slope of the line through (0, 5) and (1, 8)?


4. Simplify: 30  81  3
5. If x  49 , y =-2 , and z = 1, then y( x - z) =
6. Use the Pythagorean theorem to find c.
5
c
10
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1
1. Order the following numbers on the number line: 2,1, , 0.75
2
2. Simplify: 1 
1
2
3. Solve for y: x  y  4
4. Order from least to greatest: 0.3334, 13 , 0.25, 38
5. Simplify using order of operations: 2 5   9  3 6  

6. What is the hypotenuse of a triangle with two legs with length 2?
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