Review Sheet: Absolute Value & Polynomial Functions



Function Questions will also be on this test, but are NOT represented on the review sheet. Be sure to study your notes and worksheets!

Solving Equations

1. [pic]

2. [pic]

3. 6d + 3d – 5d – 6 = 4d

Solving Absolute Value Equations

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

11. [pic]

Absolute Value Inequalities – Solve and graph

12. [pic]

13. [pic]

14. [pic]

15. [pic]

Polynomials – Standard form & Classify

16. Write the polynomial in standard form.

4g – g3 + 3g2 – 2

17. Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.

2 – 11x2 – 8x + 6x2

18. Classify by terms and degree: 8x4 – 3x + 7

19. Classify –3x5 – 2x3 by degree and by number of terms.

20. Write –2x2(3x2 – 3x3) in standard form. Then classify it by degree and number of terms.

Polynomials - Simplify

21. 3p4(4p4 + 7p3 + 4p + 1)

22. 5a2(3a4 + 3b)

23. (2k + 3)(2k2 – 4k – 3)

24. (4p – 6)(4p + 6)

25. (–7x – 5x4 + 5) – (–7x4 – 5 – 9x)

26. (3w2 – 8w – 5) – (5w2 + 5w – 2)

27. (3u3 + 2u2 + 5) + (3u3 – 2u + 2)

28. (4u3 + 3u2 + 2) + (7u3 – 8u + 2)

29. (2n2 + 5n + 3)(2n – 3)

Probability

30. There are 10 students participating in a spelling bee. In how many ways can the students who go first and second in the bee be chosen?

31. Prestige Builders has a development of new homes. There are four different floor plans, seven exterior colors, and an option of either a two-car or a three-car garage. How many choices are there for one home?

32. 3 bananas are to be selected from a group of 9. In how many ways can this be done?

33. Sixty students were surveyed to find out their favorite

type of fruit. 24 students like apricots and 36 students

like bananas. 16 students like both. Complete the venn

diagram at the right, and calculate the following probabilities.

a. P(bananas only)

b. P(bananas and apricots)

c. P(neither)

Statistics

34. Find the range and interquartile range: 298, 174, 230, 257, 311, 142, 219

35. Another measure of variation is variance, which equals [pic]. Find the variance and standard deviation of the data set. Round to the nearest tenth: 15, 15, 11, 4, 5, 5

36. A set of data has mean 65 and standard deviation 4. Find the z-score of the value 56.

Linear Functions

37. Write the linear equation y = [pic]x + 4 in standard form (Ax + By = C)

38. Solve the system using your preferred method[pic]

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