Algebra II Test #6 Review Sheet Name:
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Determine which binomial is not a factor of .
a. / x + 4 / c. / x – 5b. / x + 3 / d. / 4x + 3
____ 2. Find all the zeros of the equation.
a. / / c. /b. / / d. /
____ 3. What polynomial has a graph that passes through the given points? , , ,
a. / / c. /b. / / d. /
____ 4. What is the degree of the polynomial that generates the given data?
x / –6 / –2 / 0 / 2 / 6y / 18 / 6 / 0 / –6 / –18
a. / cubic model / c. / quadratic model
b. / linear model / d. / none of these
____ 5. Classify x5 – 8x3 + 3x2 by degree.
a. / quartic / c. / cubicb. / quadratic / d. / quintic
____ 6. The table shows the annual consumption of cheese per person in the U.S. for selected years in the 20th century.
Year / PoundsConsumed
1900 / 1.278
1929 / 6.405
1963 / 5.136
1980 / 5.793
Use a cubic model to estimate milk production in 1973.
a. / 2.2 / c. / 5.2b. / 10.5 / d. / 8.2
____ 7. Write –2x2(–2x2 – 2x3) in standard form.
a. / 4x5 + 4x4 / c. / –4x5 – 4x4b. / –4x – 4x4 / d. / 4x5 + 4x4
____ 8. Expand the binomial.
a. /b. /
c. /
d. /
____ 9. A polynomial equation with rational coefficients has the roots . Find two additional roots.
a. / / c. /b. / / d. /
____ 10. Find the roots of the polynomial equation.
a. / –3 ± 5i, –4 / c. / –3 ± i, 4b. / 3 ± 5i, –4 / d. / 3 ± i, 4
____ 11. Divide by x + 4.
a. / / c. /b. / , R 133 / d. / , R –139
____ 12. Is a factor of ? If it is, write as a product of two factors.
a. / yes:/ c. / yes:
b. / is not a factor of / d. / yes:
____ 13. Use the Rational Root Theorem to list all possible rational roots of the polynomial equation . Do not find the actual roots.
a. / –5, –1, 1, 5 / c. / 1, 5b. / –5, 5 / d. / no possible roots
____ 14. Find the real solutions by graphing.
a. / 0, 0.56, –1.12 / c. / 0, –0.56, 1.12b. / 0.56, –1.12 / d. / 0.56
____ 15. Divide by x – 4.
a. / / c. / , R 186b. / / d. / , R –190
____ 16. Expand the binomial.
a. /b. /
c. /
d. /
____ 17. What is the fourth term of ?
a. /b. /
c. /
d. /
____ 18. Find a third-degree polynomial equation with rational coefficients that has roots –2 and 6 + i.
a. / / c. /b. / / d. /
____ 19. Use synthetic division to find P(–3) for .
a. / 23 / b. / –89 / c. / 251 / d. / –3____ 20. Solve by factoring.
a. / , , and / c. / 6, , andb. / , , and / d. / 6, , and
____ 21. The dimensions in inches of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x – 1. The volume is about 7.6 ft3. Find the dimensions of the box in inches. Round to the nearest inch.
a. / 15 in. by 20 in. by 44 in. / c. / 15 in. by 20 in. by 45 in.b. / 12 in. by 17 in. by 35 in. / d. / 12 in. by 17 in. by 36 in.
____ 22. Classify –5x5 – 8x4 + x3 by number of terms.
a. / polynomial of 5 terms / c. / trinomialb. / binomial / d. / polynomial of 4 terms
____ 23. Solve by factoring.
a. / 2, –2, 5, –5 / c. / 2, –2b. / 2, –5 / d. / no solution
____ 24. What is the end behavior?
a. / The leading term is . Since n is odd and a is negative, the end behavior is up and down.b. / The leading term is . Since n is odd and a is negative, the end behavior is down and up.
c. / The leading term is . Since n is odd and a is negative, the end behavior is up and up.
d. / The leading term is . Since n is odd and a is negative, the end behavior is down and down.
____ 25. What is the end behavior?
a. / The leading term is . Since n is even and a is positive, the end behavior is down and down.b. / The leading term is . Since n is even and a is positive, the end behavior is down and up.
c. / The leading term is . Since n is even and a is positive, the end behavior is up and up.
d. / The leading term is . Since n is even and a is positive, the end behavior is up and down.
Algebra II Test #6 Review Sheet Name:
Answer Key
1. ANS: A
2. ANS: B
3. ANS: C
4. ANS: A
5. ANS: D
6. ANS: C
7. ANS: A
8. ANS: A
9. ANS: C
10. ANS: B
11. ANS: D
12. ANS: A
13. ANS: A
14. ANS: A
15. ANS: D
16. ANS: D
17. ANS: C
18. ANS: B
19. ANS: C
20. ANS: D
21. ANS: A
22. ANS: C
23. ANS: A
24. ANS: A
25. ANS: C