Mid-Chapter Quiz: Lessons 5-1 through 5-4
Simplify. Assume that no variable equals 0.
2 –3
3 5
1. (3x y )(–2x y )
ANSWER: 5 2
–6x y
2. 4t(3rt – r)
ANSWER: 2
12rt – 4rt
3. ANSWER: 4. ANSWER: 2
2
5. (4m – 6m + 5) – (6m + 3m – 1)
ANSWER: 2
–2m – 9m + 6
2
2
6. (x + y)(x + 2xy – y )
ANSWER: 3
2
2
x + 3x y + xy – y
3
3
2
7. MULTIPLE CHOICE The volume of the rectangular prism is 6x + 19x + 2x – 3. Which polynomial expression
represents the area of the base?
4
3
2
A 6x + 37x + 59x + 3x – 9
B 6x2 + x + 1
C 6x2 + x – 1
D 6x + 1
ANSWER: C
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Simplify.
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2
2
6. (x + y)(x + 2xy – y )
ANSWER: Mid-Chapter Quiz: Lessons 5-1 through 5-4
3
2
2
3
x + 3x y + xy – y
3
2
7. MULTIPLE CHOICE The volume of the rectangular prism is 6x + 19x + 2x – 3. Which polynomial expression
represents the area of the base?
4
3
2
A 6x + 37x + 59x + 3x – 9
B 6x2 + x + 1
C 6x2 + x – 1
D 6x + 1
ANSWER: C
Simplify.
3
2
8. (4r – 8r – 13r + 20) ÷ (2r – 5)
ANSWER: 2
2r + r – 4
9. ANSWER: 2
3x – x + 4 –
10. Describe the end behavior of the graph. Then determine whether it represents an odd-degree or an even-degree
polynomial function and state the number of real zeros.
ANSWER: end behavior:
f(x) → as x → –
and f (x) → –
11. MULTIPLE CHOICE Find p (–3) if
as x → ; odd degree function; 3 real zeros
.
F0
G 11
H 30
J 36
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ANSWER: F
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ANSWER: end behavior:
Mid-Chapter
Quiz: Lessons 5-1 through 5-4
f(x) → as x → – and f (x) → – as x → ; odd degree function; 3 real zeros
11. MULTIPLE CHOICE Find p (–3) if
.
F0
G 11
H 30
J 36
ANSWER: F
13. MULTIPLE CHOICE Find
2
2
if f (x) = x + 3x and h(x) = 2x – 3x + 5.
A a 2 + 15a – 74
2
B – a – 2a – 1
C a 2 + 9a – 2
2
D – a – 9a + 2
ANSWER: D
Use f (x) = x 3 2x 2
15. Graph the function.
3x for Exercises 15 17.
ANSWER: 16. Estimate the x-coordinates at which the relative maxima and relative minima occur.
ANSWER: x = – 0.5 and 2
17. State the domain and range of the function.
ANSWER: D = {all real numbers}, R = {all real numbers}
Refer to the graph.
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x = – 0.5 and 2
17. State the domain and range of the function.
ANSWER: Mid-Chapter
Quiz: Lessons 5-1 through 5-4
D = {all real numbers}, R = {all real numbers}
Refer to the graph.
19. Estimate the x-coordinate of every turning point, and determine if those coordinates are relative maxima or relative
minima.
ANSWER: maximum at x
1; minima at x
–1.5 and x
4
21. What is the least possible degree of the function?
ANSWER: 4
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