Bell Quiz

Objectives• Simplify expressions using Distributive

Property.• Combine like terms.• Solve equations using inverse operation

and Properties of Equality.

Solve Multi-Step Equations• Equations that are more complex may have

to be simplified before they can be solved. • More than two steps may be required to

solve them. – Step 1: If there are like terms on one side of an

equation, combine them first.– Step 2: Then apply inverse operations and the

properties of equality to finish solving the equation.

Example 1Combining Like Terms

Solve.

5x + 8 – 3x + 2 = 20

Lesson PracticeSolve.

3x + 2 – x + 7 = 16

Solve Multi-Step Equations

• Complex equation can contain symbols of inclusion.

• To eliminate the symbols of inclusion we must: – Step 1: Use the Distributive Property– Step 2: Combine like terms on each side of the

equation.– Step 3: Apply inverse operations and the

properties of equality to finish solving the equation.

Example 2Using Distributive Property

Solve

x + 3(2x + 4) = 47

Lesson PracticeSolve

6(x – 1) = 36

Lesson PracticeSolve

5x – 3(x – 4) = 22

Example 3 Simplifying before Solving

Solve

5x – (x – 3) – 1 = 18

Lesson PracticeSolve

2x + (x – 2) + 4 = 17

Example 4Application: Landscaping

Jim is building a right triangular flower bed. One of the acute angles will measure twice the other acute angle. What are the measures of the two acute angles?

Lesson Practice Juan is building a triangular

shelf. He wants one angle to be right angle and the other two angles to have the same measure. What are the measures of the angles.