Combining Like Terms
Distributive Property
Tape Diagrams and Hangers
Equations
Equations in Context
100
Rewrite the expression after combining like terms.
4x + 5 + 6x + 2
10x + 7
100
Rewrite the expression using the distributive property:
2(x + 4)
2x + 8
100
Write an equation for the given tape diagram. 
2(5 + x) = 19
100
Solve the following equation:
-5 + x = 16
x = 21
100
Write an equation to represent the situation:
Sam spends $3 on a bag of gummy bears. Then he buys 4 packs of gum. He spends a total of $15.
3 + 4x = 15
200
Rewrite the expression by combining like terms.
3w - 10 -2w + 3
w - 7
200
Rewrite the expression using the distributive property.
(8 - w)6
48 - 6w
200
Write an equation for the given hanger. 
3(x + 2) = 18
200
Solve the following equation
-4x = 32
x = -8
200
Write an equation to represent the situation.
Jane rakes leaves to earn extra money in the fall. She raked 5 lawns this month and received $7 in tips. Her total earning is $37.5x + 7 = 37
300
Rewrite the expression by combining like terms.
-9y + 3x - 17x - 23y
-32y - 14x
300
Rewrite the expression using the distributive property.
-4(x - 5)
-4x + 20
300
Draw a tape diagram for the following equation.
46 = 26 + 4x
300
Solve the following equation.
14 - 3x = 29
x = -5
300
During math class, Audrey solves twice as many two-step equations as Troy. She does 12 word problems also. Audrey does a total of 30 math problems in all. The equation 2x + 12 = 30 describes this situation.
What does x represent?
How many two-step equations Troy solved
400
Rewrite the expression by combining like terms.
13x^2+9x-7x^2+1+5x^2
11x^2+9x+1
400
Rewrite the expression using the distributive property
-7(-8 - 2x)
56 + 14x
400
Write AND SOLVE an equation for the tape diagram.
76 = 4(x + 9) or 76 = 4x + 36
x = 10
400
Solve the following equation
6(x + 5) = 42
x = 2
400
Faith is having a birthday party at an ice skating rink. It costs $150 to rent out the space plus an additional $4 per person to rent skates. How much would it cost for 15 people to come to her party?
$210
500
Rewrite the expression by combining like terms
1/2y-7x-19x-3/2y+3
-y-26x+3
500
Rewrite the expression using the distributive property
-1/2(10x - 6)
-5x + 3
500
Write AND SOLVE an equation for the given tape diagram.
3(x + 4.5) = 36 or 3x + 13.5 = 36
x = 7.5
500
Solve the following equation
1/5(x - 7) = -2
x = -3
500
Matt is an author and recently published a collection of books. Each book is 200 pages long. Each book has one 8-page introduction and 12 chapters of equal length. Write and solve an equation to find the length of each chapter.
Draw a picture if needed!
Each chapter is 16 pages long.