Solve Equations and Justify

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

Which property justifies the work in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Which property justifies the work from Step 2 to Step 3?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

3(x - 2) = 18

• 6.7

• 4

• 8

• -4

• none of the above

4x + 7 = 23

• x = 16

• x = 4

• x = 9

• x = 12

What is the result of solving for the variable?

-2x = 6

• x = -12

• x = 3

• x = -3

• x = 12

Solve the equation:
-5x = 25

• x = 20

• x = -20

• x = -5

• x = 5

Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. Let b represent the total bill.

• b + 5 = 11.13

• b - 5 = 11.13

• b/5 = 11.13

• 5b = 11.13

Find the solution:
10 = 4x - 2

• x = 3

• x = 2

• x = -3

• x = -2