Solving Multi-Step Equations with Distributive Property

Mrs. Angel introduces students to solving equations using tools like the property of equality, distributive property, and combining like terms. The lesson covers how to apply these tools to simplify expressions, with a focus on freeing constants and combining terms. Students practice using these tools through examples and mixed practice problems, aiming to achieve simplified expressions with one variable term and one constant.

What is the short form for Property of Equality?

• APO

• POE

• CLT

• DP

What does the Distributive Property allow you to do?

• Combine like terms

• Divide variables

• Multiply everything inside a group by what is outside

• Add constants

In the expression 4(3x - 5), what is the result after applying the Distributive Property?

• 4x - 5

• 12x - 20

• 12x + 5

• 3x - 5

What is the goal when using the Distributive Property?

• Subtract terms

• Add variables

• Free the constant from the group

• Combine constants

What does 'combine' mean in math?

• Subtract

• Multiply

• Add

• Divide

Which of the following are like terms?

• 3x and 5

• 4x and 4y

• 7x and 2x

• 2 and 3

What is the simplified form of 4x + 5x - 5?

• 9x + 5

• 9x - 5

• 4x + 5

• 5x - 5

What is the result of combining -9x and 7x?

• 16x

• 2x

• -2x

• -16x

What is the goal when combining like terms?

• To multiply constants

• To subtract terms

• To get one variable term and one constant

• To divide variables

What is the equivalent expression for -36v + 42 + 7?

• -36v + 35

• -42v + 35

• -36v + 49

• -42v + 49