Tape Diagrams and Hangers
Equations
Equations in Context
Integers
Scale Factor Review
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

100

What is -5x4?

-20

100

What is the scale of the small fry to the large fry?


3

200

Write an equation for the given hanger. 

3(x + 2) = 18 or 3x + 6 = 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

200

Subtract -5 and 25

-30

200

Using the scale factor, what is the value of x? 


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

300

Simplify.

-3+(-4)-9=

-16

300

A flagpole and a model flag pole have a scale factor of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the pole in feet?


48 ft

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

400

Simplify.

45/-9=

-5

400

The value of the unknown side length, ? is ...


? = 20

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. 

500

Simplify.

-5(6+1)-25/5

-40

500

What shows a real object with accurate sizes reduced or enlarged by a certain amount?

Scale Drawing