Bell Quiz. Objectives Simplify expressions using Distributive Property. Combine like terms. Solve equations using inverse operation and Properties of.

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Presentation transcript:

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 1 Combining Like Terms Solve. 5x + 8 – 3x + 2 = 20

Lesson Practice Solve. 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 2 Using Distributive Property Solve x + 3(2x + 4) = 47

Lesson Practice Solve 6(x – 1) = 36

Lesson Practice Solve 5x – 3(x – 4) = 22

Example 3 Simplifying before Solving Solve 5x – (x – 3) – 1 = 18

Lesson Practice Solve 2x + (x – 2) + 4 = 17

Example 4 Application: 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.