Random
Understand Equations and Solutions
Apply Properties of Equality
Write and Solve Equations
Inequalities
100

6.8 = 2.89 + m 

m = 3.91

100

d - 2.9 = 2.5

d = 5.4

100

If 6 + 2 = 8, does 6 + 2 +3 = 8 + 3

Why or why not?


Yes, 3 was added to both sides

100

8x = 64

x = 8

100

Write an inequality for the following:


The value v, of the hat is at least $9. 

v  greater than or equal to 9

200

You start with the equation 8x = 24, your friend changes the equation to 8x = 24 /4.

How can you change your friends equation equivalent to the original equation? What step are they missing?

Divide the left side of the equation by 4 

200

c - 8 = 25

c = 33

200

If 8 - 1 = 7, does 8 - 1 - 2 = 7 - 3

Why or why not?

No, unequal amounts are subtracted from each side of the equation

200

x + 21.9 = 27.1

x = 5.2

200

  Hank has at least $7.15 

h greater than or equal to $7.15 

300

m - 28 = 21 

What is the first step to solve this equation?

Isolate the variable, add 28 to both sides of the equation. 

300

2y = 30

y = 15

300

If 4 + 6 = 10, does 4 + 6 x 3 = 10 x 3

Why or why not?

Yes, both sides of the equation were multiplied by 3

300

2,448 / 48 = x 

x = 51

300

The first bookcase a, in a library can hold one less book than the second bookcase. The second bookcase holds 2,492 books. Write an inequality to represent the number of books the first bookcase can hold. 

a < 2,492

400

Name the property of equality that this equation represents

(6 + 3) - 3 = 9 - 3

Subtraction Property of Equality
400

13.4 - g = 8.1

g = 5.3
400

If 5 + 4 = 9, does (5 + 4) /3 = 9 / 4

Why or why not?

No, both sides of the equation were not divided by the same number

400

3/4 x = 12

x = 16

400

Gabe has 6 more baseball cards than football cards. He has fewer than 125 baseball cards. Write an inequality for the number of football cards, f, he has 

f < 119

500

Name the property of equality this equation represents


( 6 + 3 ) x 3 = 9 x 3 

Multiplication Property of Equality

500

f - 13.2 = 28.9

f = 42.1

500

If 6 + 4 = 10 , does 6 + 4 + 5 = 10 + 3 + 2

Why or why not?

Yes, both sides of the equation were added by 5 ( 3 + 2 = 5)

500

14x = 73.5

x = 5.25

500

The least amount of water that hikers must bring is 45 ounces 


w greater than or equal to 45 ounces 

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