Chapter 4 Practice Test

Evaluate each expression. Show your work below each problem.

1. 100 – 2 • (30 – 5²)² = _______ 2. (40 – (10 – (4 – 1))) = _____

3. [2 • (3² – 2²) ² + 3 • (2+ 3) ² – 120] ² = _____ 4. (3 + 2)(4 – 1)² = _____

Three instances of a general pattern are given. Describe the pattern using variables.

5. 6 + 1 = 1 + 6 6. 5 • 8 + 8 = 6 • 8

8.2 + 5 = 5 + 8.2 5 • 4 + 4 = 6 • 4

9 + 0 = 0 + 9 5 • 9 + 9 = 6 • 9

General Pattern: ________________ General Pattern: _______________

7. 3 • (4 + 5) = 3 • 4 + 3 • 5 8. 3 • 3 = 3²

5 • (3 + 7) = 5 • 3 + 5 • 7 6 • 6 = 6²

8 • (2 + 6) = 8 • 2 + 8 • 6 8 • 8 = 8²

General Pattern: ______________ General Pattern: _____________

Translate each algebraic expression. Let n stand for the number.

9. the sum of a number and ten ____________________________

10. the product of a number and

two taken away from six ____________________________

11. a number less twelve ____________________________

12. a number is less than twelve ____________________________

13. a number less than twelve ____________________________

14. the sum of a number and two divided

by the sum of the number and eight ____________________________

15. Six taken away from a number ____________________________

16. the sum of a number and nine

taken away from seven ____________________________

Evaluate each expression if a = 2, b = 3, and c = 5.

17. ab² = _________ 18. 2(a + b) = _______

19. (c – a)(c – b)(b + a) = _______ 20. (c + a) – (b + a) = _______

21. If a room is 10 feet by 8 feet and a couch is 2 feet by 5 feet,

what is the probability I could guess some spot in the

room where the couch is resting?

______________

22. In a raffle 40 tickets are sold. You buy n of them.

What is the probability that you will win? _______

Find the value of n below.

23. 5n – 1 = 29 n = _________

24. 6n + 4 = 46 n = _________

25. n² – 8 = 56 n = _________

26. (3n – 5)² = 100 n = _________

27. n³ – 10 = 115 n = _________

Graph the solutions to the right of the inequality.

28. n < 8

29. 3 < n < 6

30. 2 ≤ n < 5 and n ≠ 4

31. n > -2 AND n ≤ 4

32. n > 6 OR n < 2

33. The formula for your handicap in bowling is H = .8(200 – a),

where H is your handicap and a is your average.

What is your handicap if you average 150?

_______________