Name___________________________
Hour_________
Chapter 3 Part I Assignments
_____
Day 1:
p. 825 Sec 3-2: (2–22 even)
p. 132 (43-47)
p. 138 (4-11, 13, 17-21, 28-30, 33, 36, 54-57)
_____
Day 2:
p. 146 (23, 25, 26, 28, 31, 32, 34, 42, 43)
_____
Day 3:
1 & 2 Step Equation Solving Worksheet
_____
Day 4:
Quiz 3-1 Practice and Using a Variable Worksheet
_____
Day 5:
Quiz 3-1
_____
Day 6:
Number Story Problems WS
p. 826 Sec 3-4: (2, 5, 7, 14, 18, 21)
_____
Day 7:
Perimeter Story Problems WS
_____
Day 8:
Perimeter Problems w/ Consecutive Integers WS
_____
Day 9:
Variables on Both Sides WS
p. 152 (7, 9, 22-25)
_____
Day 10:
Same Perimeter WS
_____
Day 11:
Quiz 3-2
p. 152-154 (8, 11, 26-29, 52)
_____
Day 12:
Ch. 3-Part 1 Worksheet: Test Review
_____
Day 13:
Test
1
Day 1
Solving Addition and
Subtraction Equations
Sec. 3-2:
Remember:
***Addition is the opposite of Subtraction.
***Subtraction is the opposite of Addition.
1. y + 8 = 6
2. -14 = r – (-8)
3. -34 = 5 - m
4. y – (–16) = 4
5. –3.9 = 4.4 + c
6. –5.2 + n = 18
7. The sum of a number and -3 is -95.
8. What number increased by one-half is equal to negative three-eighths?
2
Sec. 3-3:
Solving Multiplication and
Division Equations
Remember:
***Multiplication is the opposite of Division.
***Division is the opposite of Multiplication.
1.
x
 12
5
4
n
5
2.
42  6m
3.
3
x  18
4
x
 4
2
6.
 c  18

4.
 36 
7.
The product of -8 and x is -96.
8.
It is said that your weight on the moon is one-sixth your weight on
earth. Write and equation to find Neil Armstrong’s weight on earth if
he weighted 32 pounds on the moon.
5.
HW: p. 825 Sec 3-2: (2 – 22 even) & p. 132 (43-47)
p. 138 (4-11, 13, 17-21, 28-30, 33, 36, 54-57)
3
Day 2
Sec 3-4:
Solving 2-Step Equations
*Undo + first or – first.
*Then undo  or 
Solve.
1.
9 – 7x = –40
3.
3=
x
– 17
5
2.
13 = 48 – x
4.
8–
6.
4b  2
= –1
2
3
x=5
2
***Fraction Bar: undo division first!!!
5.
3b  1
= –7
2
7.
-3 =
x
– (-5)
3
HW: p. 146 (23, 25, 26, 28, 31, 32, 34, 42, 43)
4
Day 3
Practice Problems
x
3
x
4
2
2.
 12 
4.
 9m  18.9
x
3
4
6.
2
x  4  16
5
2
1

3
4
8.
5x  1
3
8
1.
 12 
3.
x  (12)  7.3
5.
8 
7.
x
9.
3x  1
2
7
HW: 1 & 2 Step Equation Solving WS
5
Day 4
Use a Variable to Solve Story Problems
The phone company charges $15.00 per month for a local line
plus $0.06 per call.
What would your bill be if you made:
90 calls ____________
110 calls ____________
130 calls_____________
*To determine what the variable should represent, look at
the question being asked in the problem.
1. The phone company charges $15.00 per month for a local line
plus $0.06 per call. How many calls were made if the bill
was $22.50?
Define Variable:
Equation:
Sentence:
6
Commission
2.
You work for Best Buy. They will give you 3% commission on your
sales. If you sell a $250 TV, how much money will you make on the
sale?
Define Variable:
Equation:
Sentence:
3. Tom sells real estate and makes $17,000 a year plus 5%
commission on his sales. How much did Tom sell if he made
$46,000?
Define Variable:
Equation:
Sentence:
HW: Quiz 3-1 Practice and Using a Variable Worksheet
7
Day 6
Solving Equations by Combining Like
Terms and Number Story Problems
Solve.
1.
5x – 7 – 8x + 6 = –19
Number Story Problems
2. The larger of two numbers is twice the smaller.
Their sum is 57. Find the numbers.
Define Variable:
Equation:
Sentence:
8
3. The sum of three numbers is 150. The first number is 4 times
the second number. The third number is 2 less than 3 times the
second number. Find the three numbers.
Define Variable:
Equation:
Sentence:
4. The difference of two numbers is 82. The larger number is
5 more than 8 times the smaller number. Find the numbers.
Define Variable:
Equation:
Sentence:
HW: Number Story Problems WS
p. 826 Sec 3-4: (2, 5, 7, 14, 18, 21)
9
Day 7
Perimeter Story Problems
Perimeter:
-The distance ____________ an object
width
length
*Drawing pictures can help when solving story problems
1. The length of a rectangle is 4 less than 7 times the width. The perimeter
is 328 feet. Find the dimensions.
Picture:
Equation:
Sentence:
2. The first side of a triangle is 7 inches; the second side is 8 inches. The
perimeter is 23 inches. Find the length of the third side.
Picture:
Equation:
Sentence:
10
3. An isosceles triangle has two equal sides. The third side is 10 inches
longer than the equal sides. The perimeter is 70 inches. Find the lengths
of each side of the triangle.
Picture:
Equation:
Sentence:
Try on your own…
4. The width of a rectangle is 10 feet shorter than three times length. The
perimeter is 124 feet. Find the dimensions.
Picture:
Equation:
Sentence:
HW: Perimeter Story Problems WS
11
Day 8
Consecutive Integer Problems
Define.
Consecutive Integers:
 Spacing of one.
 Let…
First integer =
Second integer =
Third Integer =
Consecutive Odd/Even Integers:
 Spacing of two.
 Let…
Examples.
First odd/even integer =
Second odd/even integer =
Third odd/even integer =
1. The sum of three consecutive integers is 87. Find the three integers.
2. The sum of three consecutive odd integers is 159. Find the odd
integers.
3. The sum of two consecutive even integers is 118. Find the even
integers.
12
Perimeter Problems with Consecutive Integers
4. The lengths of the sides of a triangle can be represented by three
consecutive integers. The perimeter of the triangle is 93 centimeters.
Find the lengths of the sides of the triangle.
Picture:
Equation:
Sentence:
5. The width and length of a rectangle are consecutive integers. The
perimeter is 34 inches. Find the dimensions of the rectangle if the
length is the longer side.
Picture:
Equation:
Sentence:
HW: Perimeter Problems with Consecutive Integers WS
13
Day 9
Solving Equations Using the Distributive
Property and Combining Like Terms
*Distribute First
*Combine like Terms
Solve.
1.
6(y + 2) – 4 = –10
2.
3x – 2(x + 3) = 11
3.
4.
–2(3x + 5) –5(x – 4) = –12
4x – (2x – 9) = 23
Sec. 3-5:
Solving Equations with Variables
on Both Sides
Remember:
***Multiplication is the opposite of Division.
***Division is the opposite of Multiplication.
5.
2x  4  4x  6
6.
 3x  4  6 x  16
7.
2 x  6  4( x  5)
8.
 5( x  3)  7( x  3)
14
9.
 4( x  6)  3  6( x  2)  9
10.
4 x  9  7 x  12
12.
2 y  6 y  24
11.
3w  2  2  10w
13.
2( x  3)  5  3( x  1)
14.
Each of the equal sides of an isosceles triangle is 3 feet more than the
third side. The perimeter is 33 feet. Find the length of each side of
the triangle.
HW: Variables on Both Sides WS & p. 152 (7, 9, 22-25)
15
Day 10
Same Perimeter

If two shapes have the “same” perimeter, then the perimeters
are ___________.
Use this idea to solve the following problem.
1. A rectangle and a square each have the same perimeter.
Find the dimensions of each figure.
x
3x + 4
3x
Equation:
Dimensions are:
Rectangle: length =
width =
Square:
length of each side=
16
Same Amount of Money
2. Tonja and Edward are participating in a jog-a-thon to raise money
for charity. Tonja will raise $20, plus $2 for each lap she jogs.
Edward will raise $30, plus $1.50 for each lap he jogs.
Write an expression that describes what each person will raise.
Tonja:
Edward:
After how many laps will Tonja and Edward have raised the same amount of
money?
Equation:
Sentence:
17
Solving Equations that have
No Solution and All Numbers
for answers
Sec 3-5:
What values of “x” will work?
x+1=x+1
x+2=x+5
3 Types of Solutions (Answers) –
Answer, No Solution, or All Numbers
Solve.
1.
–3k + 5(6 – k) = 4(1 – 2k)
3.
–6 + 5(2 – x) = 4
2.
3(x + 1) – 5 = 3x – 2
HW: Same Perimeter WS
Try the Day 11 Notes to Prep for the Quiz Tomorrow!
18
Day 11
Practice for Quiz 3-2
Solve. Show all steps.
1. 7(5 – n) + 3n = 23
3.
(3)
5 – 3(2x + 7) + 3x = 2
2. 6x + 18 = 4x – 2
(–6)
(–10)
4. 3(4 – x) + 9 = x – 7
(7)
Set-up each of the following problems by drawing a picture and
writing the equation.
Do not solve them.
4. The perimeter of a triangle is 40 meters. The second side is three times
the first side and the third side is 5 less than the first side. Find the
length of each side of the triangle.
Picture:
Equation:
19
5. The length and width of a rectangle are consecutive numbers. Find the
dimensions of the rectangle (length being the longer side) if the
perimeter is 486 inches.
Picture:
Equation:
Solve.
First write an expression for each person then set up an equation.
6. Tom and Maria are raising money for their school. Tom will raise $10
plus $5 for each pocket peeler he sells. Maria will raise $20 plus $3 for
each pocket peeler she sells. How many pocket peelers will they have to
sell to raise the same amount of money?
Quiz Time 
HW: p. 152-154 (8, 11, 26-29, 52)
20
Day 12
Test Review- Story Problems
Sentence:
For the following word problems, set up an equation and solve. If it
is a perimeter problem, draw a picture as well. After solving, answer
in a complete sentence.
1. Tim makes a commission by selling encyclopedias. He makes 15% on all
of his sales, and he is also paid $200 each week just for trying. Last
week he made $575. How much did he have in sales last week?
2. A phone company charges $18 per month for a local line plus $0.05 per
call. Last month Tiffany’s phone bill was $26.50. How many calls did she
make?
3. The lengths of the sides of a triangle can be represented by three
consecutive integers. The perimeter of the triangle is 252 meters. Find
the lengths of the sides of the triangle.
21
4. The length of a rectangle is 5 inches more than twice its width. The
perimeter is 76 inches. Find the length and the width of the rectangle.
5. The rectangle and the square below have the same perimeter. What is
the length of the square? Show all work and circle the correct answer.
3x + 1
x
6x
A. 12
B. 2
C.
7
D. 6
HW: Ch. 3 Test Review WS
22