Solving Equations and Justifying Steps

Ethan correctly solved an equation and got r = -3 as his answer. What type of solution does this equation have?

• One Solution

• No Solution

• Infinite Solutions

Peter correctly solved an equation and got 0x = 0x as his answer. What type of solution does this equation have?

• One Solution

• No Solution

• Infinite Solutions

Michelle correctly solved an equation and got p = -3.5 as her answer. What type of solution does this equation have?

• One Solution

• No Solution

• Infinite Solutions

3c + 5 = 23

• c = 3

• c = 6

• c = 7

• c = 18

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side.

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

15 = 2a + 7

• 2

• 4

• 12

• 14

7 + ^a⁄₃ = 5

• a= -2

• a= -6

• a= 3

• a= 15

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Identify the property you would use to solve this equation:
y – 7 = 28

• Additive Property of Equality

• Subtraction Property of Equality

• Multiplicative Property of Equality

• Division Property of Equality

Name the first property you will use to solve this equation:
3(x – 7) = 42

• Multiplication Property of Equality

• Commutative property

• Associative Property

• Distributive Property