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Study Guide for Test Math 7 Name: SHOW ALL WORK ON NOTEBOOK PAPER!!!!! 1. y – 18 = 102 2. x + 23 = -45 3. 46 = 5a - 4 x 14 5. -2y + 40 = -98 6. 4x – 12 = -4 7 7. 42 = 3x + 21 8. -9x = -72 9. Nick wanted new speakers for his car. They cost $192. If he saved $16 per week, how many weeks did he save? 10. Solve for x: 4x + 10 + 6x -3+ -67 11. Which phrase represents the equation 4x – 1 = 13 4. A. Thirteen is equal to the difference in four times x and one. B. One added to four times a number is equal to thirteen C. Thirteen equals one less than three times a number D. one times a number subtracted from four is equal to four 12. A rental car costs $20 for one day plus an additional $0.52 per mile. What is the cost of renting a car for one day and driving it 92 miles? 13. Mr. Wilson and his wife go jogging each morning. Last week they jogged a total of 50 miles. If Mr. Wilson jogged twice as far as his wife, how many miles did his wife jog? Choose the correct equation for the problem. a. 2c + c = 50 b. c + c = 50 c. 2c = 50 d. 4c = 50 14. You bought a magazine for $3 and four candy bars. You spent a total of $27. How much was each candy bar? SHOW YOUR WORK! 15. A coffee shop sells a refillable mug for $5.50. Each time a customer wants a refill, it costs $1.25. Last month Sarah spent $20.50 on a mug and her refills. Let x = _____________________________ Equation: __________________________ Solution: ___________________________ 16. Candice started the summer with $20. Each time she babysat, she was paid $20. At the end of the summer she had a total of $180. Write an equation for her total money at the end of the summer. Let x = _____________________________ Equation: __________________________ Solution: ___________________________ 18. -5x + 2 = -23 19. 9r – 6 = 33 21. x/6 – 11 = 5 22. x/4 + 6 = 7 23. x/5 + 8 = -3