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Name Date ___________ Block ______ Unit 1 Quiz 3 Study Guide Solve each equation. Show your work. 1. 8x – 7 = 5x – 8 2. 12m + 6 = 2m + 36 3. -3(x – 4) = -6 4. 3 + 2(x + 8) = -16 + 2x 5. æ 5ö 3y + 9 + y = 6ç y + ÷ è 2ø 6. 1 (6y +14) = 22 2 8. 2 – 3(x – 6) = -12 – 3x 7. a – 3(5a – 8) = -18 9. A painter charges a customer $80 for each hour that she works on a project. The customer also must pay the painter $1200 for materials. Write an equation for the total cost of the project. Define your variables. Suppose the painter works 5 hours. What is the total amount the customer must pay the painter? Explain your answer using words, symbols, or both. The Jacob’s family has a budget of $2200 to spend on painting their new room. The painter estimates that it will take her 10 hours to complete the room. Will the cost of the project cost less than what the family budgeted? Justify your answer using mathematics.