1.5 Multi-Step Equations w/ Distributive Property

Multiple Choice

Which of the following is the correct first step to solve the equation -4(-6x + 1) - 8 = 12?

• Distribute -4 to both terms inside the parentheses

• Add 8 to both sides

• Divide both sides by -4

• Combine like terms immediately

Fill in the Blanks

Fill in the blanks for the steps to solve multi-step equations involving the distributive property: • ________________ first • ________________ like terms (if necessary) • ________________ the equation

Open Ended

What is the value of x in the equation 4 + 2(x - 8) = 44?

Open Ended

Explain how you would solve the equation 8 + (2/3)(6x + 30) = 80. What steps would you take and why?

Fill in the Blanks

Fill in the blank: To solve the equation -2.5(3x - 4) + 5x = 32.5, you should first apply the

property.

Open Ended

Tell me how Andre incorrectly solved the equation 8x + 2x(5 - 10) = 110. Identify Andre's mistake, then tell me what the correct answer should have been.

Multiple Choice

Which of the following is the correct equation to represent the total weight of both packages in the scenario described?

• 2(1.5x + 4) = 7

• 2(1.5 + 4x) = 7

• 2(1.5x + 8) = 7

• 1.5x + 4 = 7

Fill in the Blanks

What is the cost of one slice of pizza if three friends each ordered two slices of pizza and a drink costing $0.75, and the total was $11.25?