8th Grade Chapter 2 Study Guide
Name: ___________________________ Date: ___________ Period: ________
1. Twice a number p decreased by four equals the sum of p and eight.
2. Translate the equation y + 3 = 2(5 + y) into a verbal sentence.
3. Solve r – 22 = –6.
4. Solve 7k = 42.
5. Solve (4/5)x = 12.
6. Solve 3m + 2 = 8.
7. A number is added to 7. The result is then multiplied by 6 to get 96. What is the number?
8. Evaluate |3a – 4| + 2 if a = 0.
9. Solve |d – 3| = 9.
10. Which ratio forms a proportion with 6/12?
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2/5
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3/6
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4/9
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5/10
11. Solve the proportion 3/8 = x/40.
12. Solve 2t – 7 = t + 1.
13. Solve 5(s + 2) = 7s – 4.
14. Solve 6(b – 3) + b = 4(b – 5).
15. Solve ax – 7 = b for a.
16. Solve the formula V = (1/2)Bh for h.
17. If 1 meter = 1.094 yards, use dimensional analysis to find 3 kilometers in miles. (1 mi =
1760 yd)
18. Machine A produces 600 parts in 4 hours. How many parts in 9 hours?
19. Two cars leave the same point in opposite directions. One travels 55 mph, the other 45
mph. How long until they are 500 miles apart?
20. The temperature in Celsius is given by C = (5/9)(F – 32). If C = 30°, find F.
21. Solve 4(x – 3) = 2x + 6.
22. Solve 5y + 8 = 3y + 18.
23. Solve 6(n – 5) – 2n = 12.
24. Solve 7p + 4 = 3p + 20.
25. A plane travels 500 miles in 1 hour. Convert this speed to meters per second (1 mile ≈
1609 m).
26. Solve |d – 4| = -6.