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NAME DATE PreAP Homework due Wednesday, Dec. 21 PERIOD SCORE 1. Sarah is 7 years older than her sister. The sum of their ages is 43. Define a variable. Then write an equation that could be used to find their ages. TEKS 8.8(C) 2. Three bowls plus the cereal in them have a mass of 135.6 grams. The total mass of all the cereal is 42.3 grams. Write and solve an equation to find the mass of one bowl. TEKS 8.8(C) 3. At a book fair four books and a poster cost a total of $25.50. The poster costs $3.50 and the books all cost the same. Write and solve an equation to find the cost of one book. TEKS 8.8(C) Solve each equation. Check your solution. TEKS Preparation for 8.8(C) 2 1 4. 4.5 + 3a = 28.5 5. 1 m + 4 = 5 5 6. −7.7 = –3.7g + 7.1 20 7. −2.6d – 0.49 = –1.79 8. A cell phone plan charges a monthly fee of $35 plus $0.05 per minute. Another company does not charge a monthly fee but charges $0.25 per minute. For how many minutes is the cost of the plans the same? TEKS 8.8(C) Course 3 • Chapter 6 Equations and Inequalities Solve each equation. Check your solution. TEKS 8.8(C) 2 1 9. –2n + 13 – 1 = – 3 10. 11 + 3x – 7 = 6x + 5 – 3x 11. 3(2 + 5a) – 10 = –22 + 6a 12. 6x + 5 – 2x = 4(1 + x) + 1 Heather and some friends went to the jewelery store. They bought 5 necklaces and 4 bracelets and spent a total of $58.50. Each bracelet cost $2.25 less than a necklace. TEKS 8.8(C) 13. Define the variable. Write an equation that can be used to find the cost of one necklace 14. Solve the equation to find the cost of a necklace. 15. Identify and verify the values of x and y that simultaneously satisfy the pair of equations y = –2x + 3 and y = –x – 1 by graphing. TEKS 8.9 16. Course 3 • Chapter 6 Equations and Inequalities 17. 18. Which multiple choice answer best describes the graph of the inequality? 19. Which multiple choice answer best describes the graph of the inequality? Course 3 • Chapter 6 Equations and Inequalities 20. Which multiple choice answer best describes the graph of the inequality? Course 3 • Chapter 6 Equations and Inequalities