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Cumulative Exam — Cumulative exam Answers

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For which pair of functions is ?

Question illustration
A
f(a) = a2 – 4 and
Option A
B
and g(a) = 2a – 2
Option B
C
f(a) = 5 + a2 and
Option C
D
f(a) = 3 – 3a and g(a) = 4a – 5
42
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The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

A
2.45
B
3.16
C
5.48
D
7.07
43

One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

Question illustration
A
x = –25 or x = 10
B
x = –25, x = 1, or x = 10
C
x = –10 or x = 5
D
x = –10, x = –5, or x = 5
44

What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)?

A
a =
Option A
B
a = 7
C
a =
Option C
D
a = 621
45

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
(0, 0), (0, 0.5), (0, 2), (3, 0)
B
(0, 0), (0, 2), (1.5, 1), (3, 0)
C
(0, 0), (0, 0.5), (1.5, 1), (3, 0)
D
(0, 0), (0, 0.5), (1, 1.5), (3, 0)
46

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?

A
2 plus-or-minus StartRoot 10 EndRoot i
Option A
B
1 plus-or-minus StartRoot 10 EndRoot i
Option B
C
StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction
Option C
D
1 plus-or-minus StartRoot 5 EndRoot i
Option D
47

Joylin win a $50 gift card for the local movie theater. She uses the entire amount on the card to purchase tickets and snacks for her family. If Joylin spends $6 more on tickets than she does on snacks, how much does Joylin spend on tickets?

A
$19
B
$22
C
$28
D
$31
48

Use synthetic division to solve . What is the quotient?

Question illustration
A
x squared + 4 x + 3
Option A
B
x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction
Option B
C
x cubed + 4 x squared + 3 x
Option C
D
x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction
Option D
49

What is the remainder when (x3 + 1) is divided by (x2 – x + 1)?

A
x + 1
B
x
C
2
D
0
50

The quotient of (x4 – 3x2 + 4x – 3) and (x2 + x – 3) is a polynomial. What is the quotient?

A
x4 – 2x2 + 5x – 6
B
x2 – x + 1
C
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
D
x4 – 4x2 + 3x
51

What are the domain and range of f(x) = |x + 6|?

A
domain: ; range: f(x) 0
Option A
B
domain: x ; range:
Option B
C
domain: x ; range:
Option C
D
domain: ; range: f(x) 0
Option D
52

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of ?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D
53

Jordan has a jar of quarters. When he has 60 quarters in the jar, the jar weighs 52 ounces. When there are 125 quarters in the jar, the jar weighs 65 ounces. What is the weight of the empty jar?

A
39 ounces
B
40 ounces
C
44 ounces
D
60 ounces
54

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.

A
and x = ±1
Option A
B
and x = ±i
Option B
C
and x = ±1
Option C
D
and x = ±i
Option D
55

Kyle has a total of 16 coins in his pocket. All the coins are nickels or quarters, and they have a total value of $2.20. How many nickels does Kyle have?

A
7 nickels
B
8 nickels
C
9 nickels
D
11 nickels
56

One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

Question illustration
A
x = –25 or x = 10
B
x = –25, x = 1, or x = 10
C
x = –10 or x = 5
D
x = –10, x = –5, or x = 5
57

What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

A
u = x2
B
u = x4
C
u = x8
D
u = x16
58

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

A
The graph moves up 18 units.
B
The graph moves down 18 units.
C
The graph moves left 18 units.
D
The graph moves right 18 units.
59

Question text not available

Question illustration
A
direct variation; k = 4
B
direct variation; k =
Option B
C
inverse variation; k = 4
D
inverse variation; k =
Option D
60

Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t is the time in seconds. For which interval of time is the height of the ball less than 17 feet?

A
mc022-1.jpg
Option A
B
mc022-2.jpg
Option B
C
mc022-3.jpg
Option C
D
mc022-4.jpg
Option D

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