Justify Steps to Solving Equations

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Guess and check

What is the first step to solve this equation?
x - 5 = 7 - 2x

• Add 7 to both sides of the equation

• Add 2x to both sides of the equation

• Subtract 2x from both sides of the equation

• Subtract 5 from both sides of the equation

Which property justifies the work shown in Step 4?

• Addition Property of Equality

• Subtraction Property of Equality

• Additive Inverse Property

• Substitution 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

Which property justifies the work from Step 3 to Step 4?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Which property justifies the work in solving this equation?

• Multiplication Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Which property justifies the work in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Which property was used to get from Step (2) to Step (3)?

• Distributive Property

• Division Property of Equality

• Subtraction Property of Equality

• Substitution Property

Which property justifies the work from Step 1 to Step 2?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

Which property justifies the work shown?

• Multiplication Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Multiplicative Inverse Property