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?

_______________