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Name_________________________________ Unit 4 A Study Guide – One-Step Equations and Inequalities _____ 1. Is 5 the solution for 3x + 4 = 19? A. yes B. no _____ 2. Is 2 the solution for 11 - x = 7? A. yes B. no _____ 3. Which equation has x = 9 as the solution? A. 4 + x = 12 B. 5x = 45 C. 2x = 20 D. x + 7 = 26 _____ 4. Which equation has x = 2 as the solution? A. 3 + x = 10 B. 11 + x = 13 C. 4x = 32 D. 5x = 25 _____ 5. Solve t + 6 = 14 A. t = 8 B. t = 20 C. t = 21 D. t = 84 B. v = 10 C. v = 15 D. v = 25 B. w = 7 C. w = 42 D. w = 56 B. x = 8.1 C. x = 17.1 D. x = 56.7 C. x = 18 D. x = 19 B. x = 8.2 C. x = 8.8 D. x = 11.5 B. x = 4.5 C. x = 14 _____ 6. Solve v + 5 = 20 A. v = 5 _____ 7. Solve 7w = 49 A. w = 2 _____ 8. Solve 4.5x = 12.6 A. x = 2.8 _____ 9. Solve 12 = x + 7 A. x = 5 _____ 10. Solve A. 8.5 = x + 3 x = 5.5 _____ 11. Solve A. B. x = 6 x=4 18 = 4x D. x = 72 _____ 12. Solve A. 73 = x + 61 x = 12 B. x = 61 C. x = 73 D. x = 134 B. x = 80 C. x = 40 D. x = 20 _____ 13. Solve ½ x = 40 A. x = 90 _____ 14. May paid $34 for 8 bottles of lotion. If x represents the cost of one bottle of lotion, which equation could be used to find the cost of ONE bottle of lotion? A. 34x = 8 B. 8x = 34 C. x + 8 = 34 D. 34 + 8 = x _____ 15. Sarah is 6 years younger than her brother, George. If Sarah is 10, which equation represents George’s age? A. g – 6 = 10 B. g + 6 = 10 C. 10 - g = 6 D. g + 10 = 6 _____16. Ryan puts $10 worth of gas in his lawnmower. The price per gallon was $2.00. Which equation can be used to find the number of gallons Ryan purchased? a. 2g = 10 b. 2 + g = 10 c. 10 = g – 2 d. 20g = 10 _____17. Use the equation you chose in #16 to determine the number of gallons Frank purchased. a. 2 b. 5 c. 10 d. 20 _____18. Lucy bought $20 more in Christmas gifts this year than she did last year. If she spent $234 this year, choose an equation that will determine the amount spent last year. a. 20x = 234 b. 20 + x = 234 c. x + 234 = 20 d. 234x = 20 19. The difference in a number and 13 is 28. Write an equation and solve. Explain or show how you would solve your equation. 20. Eliza has $16 in her pocket. She buys a candy bar for $2 and a newspaper. When she left the store, the cashier gave her $12.25 in change. Determine the cost of the magazine. Explain how to solve this problem by drawing pictures, explaining in words, or writing an equation.