Key Steps to Solving Equations

What is the first step in solving the equation below?

• Distribute 4 to x and -1

• Distribute 4 to x and 1

• Distribute 4 to x and -1 and 10

• Distribute -4 to x and -1

What is the first step in solving the equation below?

• Distribute 6 to 3 and -2x

• Distribute 8 to 3 and -2x

• Distribute 8 to 3 and 2x 

• Distribute 6 to 3 and 2x

What is the first step in solving the equation below?

• Divide both sides by 4

• Divide both sides by 6

• Combine like terms

• Distribute

Solve: -4x + 3 = -29

Mathematical Equivalence

OFF

Solve: -2 = 10 + 2n

Mathematical Equivalence

OFF

Match the equation with the first step you would perform to solve it.

• subtract 32 from both sides

• -5x - 32 = -81

• subtract 81 from both sides

• 81 - 81x = -32

• add 81 to both sides

• -81 + 81x = -32

• add 32 to both sides

• -5x + 32 = -81

Solve: -9 = 4n - 1

Mathematical Equivalence

ON

Solve: 9 - 5t = 24

Mathematical Equivalence

ON

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 of real numbers was used to get from Step 3 to Step 4?

• Addition Property of Equality

• Subtraction Property of Equality

• Additive Inverse Property

• Substitution Property