FALL PRE-TEST
DO NOT WRITE ON TEST!
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Intro to Algebra A
Read each question carfully.
1) In which set does -7 belong?
A) irrational numbers
B) natural numbers
C) whole numbers
D) rational numbers
2) In which set does 0 belong?
A) integers and rational numbers
B) whole and natural numbers
C) rational and irrational numbers
D) natural and irrational numbers
3) Which of the following is an infinite set of
numbers?
A) {9,8,7,6,5,4,3}
B) {-2,-1,0,1,2}
C) {-3,-2,-1,0}
D) {...10,11,12,13,14,...}
4) Which of the following is a finite set of
numbers?
A) {even numbers between 3 and 10}
B) {...9,18,27,36,45...}
C) {rational numbers less than 6}
D) {whole numbers}
5) What is the distance between -2 and 4?
A) -6
B) 6
C) 2
D) -2
6) What is the distance between -8 and -5?
A) 3
B) 13
C) -3
D) -13
7) Which property is shown in the example
below?
2(x + 2) = 2x + 4
A) Multiplication Property of Zero
B) Distributive Property
C) Associative Property of Multiplication
D) Commutative Property of Multiplication
8) Which property is demonstrated by the
given equation?
r(1) = r
A) Distributive Property
B) Associative Property of Multiplication
C) Identity Property of Multiplication
D) Commutative Property of Multiplication
9) Which property is demonstrated by the
given equation?
(4 + 3) + 5 = 4 + (3 + 5)
A) Assoiciative Property of Addition
B) Identity Property of Addition
C) Commutative Property of Addition
D) Distributive Property
10) What is the simplest form of the given
expression?
3
10
A) 2.5
B) 100
C) 0.01
D) 1,000
11) What is the simplest form of the given
expression?
25
A) 5/5
C) 5 5
B) 5
D) 2 5
Worksheet by Kuta Software LLC
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12) What is the pattern in theis sequence?
-1 ,0, 2, 5, 9, 14
A) add 1 to previous number
B) add 1 more than added to the previous number
C) add 5 to previous number
D) add 2 more than added to the previous number
13) Which is the best conjecture for what the
product of 9 x 16 would be if the given
pattern continues?
9 x 12 = 108
9 x 13 = 117
9 x 14 = 126
9 x 15 = 135
9 x 16 = ___
A) 162
B) 171
C) 144
D) 153
14) Which answer represents the sentence
below?
Four more than twice a number n is two
less than five times the same number.
A) 2n - 4 = 5n + 2
B) 2n + 4 = 2 - 5n
C) 4n + 2 = 2 - 5n
D) 2n + 4 = 5n -2
15) Which answer represents the sentence
below?
Sally's salary, s, is $7.00 more than six
times Raymond's salary r.
A) s + 7 = 6 + r
B) s + 7 = 6r
C) s = 7 + (6 + r)
D) s = 6r + 7
16) Which answer represents the phrase
below?
fifteen more than three times a number
A) 3x + 15
B) 15x + 3
C) 3(x + 15)
D) 45 + x
17) Which is the correct answer?
-3 4
6 -8
10 0 + 3 -2
-7 5
0 1
18) Which is the correct answer?
5 4
8 10
3 -2 - 6 -3
1 0
-5 4
A)
9
13
-7
4
-2
6
C)
3
13
0
4
-2
4
B)
3
13
-7
13
-2
6
D)
3
13
-7
-4
-2
6
A)
-3
9
6
6
-1
4
C)
-3
-3
6
-6
1
-4
B)
13
9
-6
D)
3
3
6
14
-5
4
6
-1
-4
19) The sides of a rectangle were shortened by
3 inches. What was the effect on the
perimeter?
A) The perimeter decreased by 6 inches.
B) The perimeter decreased by 12 inches.
C) The perimeter decreased by 9 inches.
D) The perimeter decreased by 3 inches.
Worksheet by Kuta Software LLC
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20) Which methods are equivalent algorithms
for solving for x?
Method A
Method B
2(x - 4) = 2 = 0
2(x - 4) + 2 = 0
2x - 8 + 2 = 0
2x - 8 = -2
2x - 6 = 0
2x = 6
2x = 6
x=3
x=3
A) Both methods are incorrect
B) Only Method B is correct
C) Only Method A is correct
D) Both methods are correct
21) Whichis the correct order of operations
when simplifying a numerical expression?
A) Exponents, roots, abosolute value, multiply/divide (left to right in the order as they
appear), grouping symbols, add/subtract (left to right in the order as they appear)
B) Grouping symbols, exponents, roots, absolute values, add/subtract (left to right in the
order as they appear), multiply/divide (left to right in the order as they apper)
C) Grouping symbols, epxonenets, roots, aboslute values, multiply/divide (left to right in the
order as they appear) add/subtract (left to right in the order as they appear)
D) Grouping symbols, multiply, exponents, roots, absolute values, add subtract, divide from
left to right in the order as they appear)
22) Which method represents a correct way to simplify the expression?
Method 1:
Method 2:
2
2
14 - 16 ÷ (4 - 6) · 2
14 - 16 ÷ (4 - 6) · 2
2
2
-2 ÷ (-2) · 2
-2 ÷ (-2) · 2
-0.5 · 2
-2 ÷ 8
-1
-0.25
Method 3:
Method 4:
2
2
14 - 16 ÷ (4 - 6) · 2
14 - 16 ÷ (4 - 6) · 2
2
2
14 -16 ÷ (-2) · 2
14 - 16 ÷ (-2) · 2
14 - 16 ÷ 4· 2
14 - 16 ÷ 4 · 2
14 - 4 · 2
14 - 16 ÷ 8
14 - 8
14 - 2
6
12
A) Method 3
B) Method 1
C) Method 4
D) Method 2
Worksheet by Kuta Software LLC
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23) Which method represents a correct way to
simplify the expression?
2
(-5 + 7) · 4 - 3
Method A
Method B
2
2
(-5 + 7) · 4 - 3
(-5 + 7) · 4 - 3
2
2
2·4-3
2·4-3
2·4 -9
2·4-6
2 · 13
8-6
26
2
Method C
2
(-5 + 7) · 4 - 3
2
-2 · 4 - 3
-8 - 9
-17
A) Method B
C) Method A
Method D
2
(-5 + 7) · 4 - 3
2
2·4-3
8-9
-1
B) Method C
D) Method D
25) Solve the equation.
x
=9
3
A) x = 6
C) x = 3
26) Solve the equation.
3x + 7 = -8
1
3
C) x = 5
A) x = -
1
3
D) x = 27
B) x =
27) Solve the equation.
3(k - 2) = 18
20
3
C) k = -8
A) k =
24) Solve the equation.
15 + x = 20
A) x = -5
B) x = -35
C) x = 35
D) x = 5
1
3
D) x = -5
B) x =
28) What is the value of the expression
below?
2
3(4 + 2) - 2 ·6
A) 324
B) 48
C) 96
D) 636
B) k = 8
D) k = 4
29) What is the value of the expression
below?
2
4 + 9 - 16 ÷ (-2)
A) 2.5
B) -1.5
C) 11
D) 27
30) Evaluate the following expression.
3
4 + 5 - (1 - 1) (3 + 4)
A) 9
B) -53
C) 7
D) -4
31) Simplify the following expression:
-2x(x + 4)
32) Simplify the expressions using the
distributive property and combining like
terms:
2(3x - 4) + 5x - 6
A) 11x + 14
B) 11x + 2
C) 11x - 14
D) 11x - 2
A) -3x + 8x
2
C) -2x + 8x
2
B) -2x - 8x
D) -3x - 8x
Worksheet by Kuta Software LLC
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33) Simplify the expression:
-2(3 + 10n) + 10(1 + 8n)
A) 60n + 4
B) -60n - 4
C) 100n + 4
D) 100n - 4
34) What is the sum?
- 68 + 74 =
A) 142
B) -6
C) 4
D) 6
35) Evaluate the expression:
(-13) + (-47)
A) -70
B) -60
C) -34
D) -50
36) Evaluate teh expression.
25 - (-9)
A) 34
B) 16
C) -16
D) 24
37) What is the difference:
(-47) - (-75)
A) -122
B) 28
C) 122
D) -28
38) What is the value of the expression
below?
(-14)(-3)
A) 11
B) 42
C) -42
D) -11
39) Find the product:
(-23)(2)
A) 21
B) 46
C) -46
D) -21
40) What is the product of the following
expression?
(-2)(-3)(-4)
A) -9
B) 9
C) 24
D) -24
41) What is the quotient?
63 ÷ (-7)
A) 9
B) -8
C) 8
D) -9
42) What is the quotient?
-64
-8
A) -8
B) -6
C) 8
D) 7
43) Evaluate the follwoing expression:
18
-9
A) -2
B) 2
C) 9
D) -9
44) What is one cubed?
A) 3
B) 2
C) 0
D) 1
45) Which algebraic expression represents the
following phrase?
three less than a number m
A) m - 3
B) m ÷ 3
C) m + 3
D) 3m
46) Which algebraic expression represents the
following phrase?
the product of 20 and a number y
A) 20y
B) y - 20
y
C)
D) 20 + y
20
Worksheet by Kuta Software LLC
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47) Which is the following verbal expression
is equivalent to
3
x
A) the quotient of a number and three
B) a number increased by three
C) the product of a number and three
D) a number cubed
48) Which is the correct verbal expression for
2x - 5
A) 5 less than the product of a number and 2
B) 2 more than a number and 5
C) the quotient of a number and 2 decreased by 5
D) 5 decreased by the product of a number and 2
49) What is the value of the expression
below?
a = -2, b = 4, c = -3
a(2b - ab + ac)
A) -20
B) -10
C) -44
D) 12
50) What is the value of the following
expression when
x = 10 and y = -7
2x + y - 5
A) 12
B) 22
C) 8
D) -9
51) Solve the following equation:
n
+3=8
2
A) -13
B) 22
C) 10
D) -19
52) What is the value of x?
x - 36 = 278
A) 304
B) 314
C) 214
D) 242
53) Solve
5n = 15
A) n = 3
C) n = 20
54) Which value for x makes the number
sentence true?
21 + 6x = 21
A) x = 7
B) x = 6
C) x = 1
D) x = 0
B) n = 4
D) n = 10
55) What is the value of n?
3(n + 2) - 4 = 11
A) -3
C) 3
13
3
1
D)
3
B)
56) Solve for w
627 - w = 135
A) 762
B) -762
C) -492
D) 492
Worksheet by Kuta Software LLC
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57) Solve for n.
2
n = -18
3
A) -12
B) -6
C) -9
D) -27
58) Which of the following will solve for n?
2n - 4 = 8
A) Add 4 to 8. Then multiply that answer by 2.
B) Add 4 from 8. Then divide that answer by 2.
C) Subtact 4 from 8. Then divide the answer by 2
D) Subtract 4 from 8. Then multiply the answer by 2.
59) Solve
3(x + 5) - 8 = 4(x -2) + 4
A) -11
B) 11
C) 3
D) -3
60) Which method represents a correct way to simplify the expression?
Method 1: 14 - 7 × 2 + 5(-1)
Method 2: 14 - 7 × 2 + 5(-1)
14 - 14 + 5(-1)
14 - 7 · 2 + 5(-1)
14 - 14 + 5(-1)
7 · 2 + 5(-1)
14 - 14 + (-5)
14 + 5(-1)
0 + -5
19 (-1)
-5
-19
Method 3: 14 - 7 × 2 + 5(-1)
14 - 14 + 5(-1)
14+ 14 + 5(-1)
14 + 15 + (-5)
28 + (-5)
23
A) Method 1
B) Method 2
Method4: 14 - 7 × 2 + 5(-1)
14 - 14 + 5(-1)
14 - 14 + 5(-1)
14 - 14 + 4
0+4
4
C) Method 3
D) Method 4
Worksheet by Kuta Software LLC
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