Properties of Equality
Solving Equations
True/False
100

Which property of equality needs to be used to solve for x?

6 + x = 12

subtraction

100

Solving Equations

Solve for x. 

x + 3 = 7

What is: 

x = 4

100

The identical inequality of x > 23 is 23 < x

True

200

Which property of equality needs to be used to solve for y?

20y = 40

division

200

Solving Equations

Solve for x.

2x = 14

What is: 

x = 7

200

The identical inequality of 6 < m is 6 > m

False

300

Which property of equality is being shown in the example below?

18 - 18 + j = 35 - 18

subtraction

300

Solving Equations

Solve for x. 

9 + x = 15

What is: 

x = 6

300

The inequality 3x > 5 is identical to... 


5 < 3x

400

Which property of equality needs to be used to solve for g?

g/42 = 30

multiplication

400

Solve for v. 

9v = 27

v= 3

400

y > 72 is identical to 72 < y

True

500

Look at how this student solved the equation below:

4d = 32

4 x 4d = 32 x 4

d = 128

Did they use the correct property of equality? Explain.

No they used multiplication. They should have used division because division is the inverse operation of multiplication.

500

Solve for r.

r/25 = 5

r = 125

500

Inequalities only have one solution, just like equations.

False. Inequalities have infinitely many solutions.

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