Practice Test - Chapter 5
Simplify.
2
1. (3a) (7b)
4
ANSWER: 2 4
21,609a b
2. (7x – 2)(2x + 5)
ANSWER: 2
14x + 31x – 10
2
2
3. (2x + 3x – 4) – (4x – 7x + 1)
ANSWER: 2
–2x + 10x – 5
3
2
4. (4x – x + 5x – 4) + (5x – 10)
ANSWER: 3
2
4x – x + 10x – 14
4
3
2
5. (x + 5x + 3x – 8x + 3) ÷ (x + 3)
ANSWER: 3
2
x + 2x – 3x + 1
3
2
6. (3x – 5x – 23x + 24) ÷ (x – 3)
ANSWER: 7. MULTIPLE CHOICE How many unique real zeros does the graph have?
A0
B2
C3
D5
ANSWER: C
3
2
8. If c(x) = 3x + 5x – 4, what is the value of 4c(3b)?
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ANSWER: 3
2
324b + 180b – 16
Page 1
C3
D5
ANSWER: Practice
Test - Chapter 5
C
3
2
8. If c(x) = 3x + 5x – 4, what is the value of 4c(3b)?
ANSWER: 3
2
324b + 180b – 16
Complete each of the following.
a. Graph each function by making a table of values.
b. Determine consecutive integer values of x between which each real zero is located.
c. Estimate the x-coordinates at which the relative maxima and relative minima occur.
3
2
9. g(x) = x + 4x – 3x + 1
ANSWER: a.
b. between –5 and –4
c. rel. max: x = –3; rel. min: x ≈ 0.3
4
3
2
10. h(x) = x – 4x – 3x + 6x + 2
ANSWER: a.
b. between –2 and –1, between –1 and 0, between 1 and 2, between 4 and 5
c. rel max:
rel min:
Factor completely. If the polynomial is not factorable, write prime .
4
3
11. 8y + x y
ANSWER: eSolutions Manual - Powered by Cognero
2
2
y(2y + x)(4y – 2xy + x )
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b. between
and –1,5between –1 and 0, between 1 and 2, between 4 and 5
Practice
Test - –2
Chapter
c. rel max:
rel min:
Factor completely. If the polynomial is not factorable, write prime .
4
3
11. 8y + x y
ANSWER: 2
2
y(2y + x)(4y – 2xy + x )
2
12. 2x + 2x + 1
ANSWER: prime
2
2
13. a x + 3ax + 2x – a y – 3ay – 2y
ANSWER: (x – y)(a + 2)(a + 1)
Solve each equation.
3
14. 8x + 1 = 0
ANSWER: 4
2
15. x – 11x + 28 = 0
ANSWER: 16. FRAMING The area of the picture and frame shown below is 168 square inches. What is the width of the frame?
ANSWER: 2 in.
4
3
17. MULTIPLE CHOICE Let f (x) = x – 3x + 5x – 3. Use synthetic substitution to find f (–2).
F 7
G 7
H 33
J 21
ANSWER: G.
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Given a polynomial and one of its factors, find the remaining factors of the polynomial.
3
2
18. 2x + 15x + 22x – 15; x + 5
Page 3
ANSWER: Practice
Test - Chapter 5
2 in.
4
3
17. MULTIPLE CHOICE Let f (x) = x – 3x + 5x – 3. Use synthetic substitution to find f (–2).
F 7
G 7
H 33
J 21
ANSWER: G.
Given a polynomial and one of its factors, find the remaining factors of the polynomial.
3
2
18. 2x + 15x + 22x – 15; x + 5
ANSWER: 2x – 1, x + 3
3
2
19. x – 4x + 10x – 12; x – 2
ANSWER: 2
x – 2x + 6
State the possible number of positive real zeros, negative real zeros, and imaginary zeros of each
function.
3
2
20. p (x) = x – x – x – 3
ANSWER: 1 positive, 2 or 0 negative, 2 or 0 imaginary
6
4
3
21. p (x) = 2x + 5x – x – 5x – 1
ANSWER: 1 positive, 1 negative, 4 imaginary zeros
Find all zeros of each function.
3
2
22. p (x) = x – 4x + x + 6
ANSWER: –1, 2, 3
3
2
23. p (x) = x + 2x + 4x + 8
ANSWER: −2 ± 2i
24. GEOMETRY The volume of the rectangular prism shown is 612 cubic centimeters. Find the dimensions
of the prism.
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ANSWER: Page 4
3
2
23. p (x) = x + 2x + 4x + 8
ANSWER: Practice
Test - Chapter 5
−2 ± 2i
24. GEOMETRY The volume of the rectangular prism shown is 612 cubic centimeters. Find the dimensions
of the prism.
ANSWER: 9 cm by 17 cm by 4 cm
4
2
25. List all possible rational zeros of f (x) = 2x + 3x – 12x + 8.
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Page 5