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Cumulative Exam — Cumulative exam Answers

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If f(x) is an odd function, which statement about the graph of f(x) must be true?

A
It has rotational symmetry about the origin.
B
It has line symmetry about the line y = –x.
C
It has line symmetry about the y-axis.
D
It has line symmetry about the x-axis.
2
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What is the factored form of ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
3

The polynomial equation has complex roots . What is the other root? Use a graphing calculator and a system of equations.

Question illustration
A
–9
B
–1
C
0
D
1
4

What is the solution to the equation ?

Question illustration
A
x = –3
B
x = –3 and x = 0
C
x = 0 and x = 3
D
x = 3
5

Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5?

A
5 units up
B
5 units down
C
5 units right
D
5 units left
6

Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of her marinara sauce requires 5 tomatoes and cups of oil. She makes $4 profit on each quart of her Tuscan sauce and $5 profit on each quart of her marinara sauce. She has 45 tomatoes and 10 cups of oil on hand. Tiffany wants to maximize her profits from selling the sauce.Let x represent the number of quarts of Tuscan sauce and y represent the number of quarts of marinara sauce Tiffany makes. What are the constraints for the problem?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-4.jpg
Option B
C
mc019-6.jpg
Option C
D
mc019-8.jpg
Option D
7

Sandra graphed the system of equations that can be used to solve . What are the roots of the polynomial equation?

Question illustration
A
–12, 12
B
–4, 3
C
–3, 4
D
–1, 1
8

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
9

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
10

Which graph shows the solution to the system of inequalities below?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
11

Which expression is equivalent to ?

Question illustration
A
x Superscript one-half Baseline y Superscript 4
Option A
B
x Superscript one-eighth Baseline y Superscript 8
Option B
C
x Superscript one-fourth Baseline y Superscript 8
Option C
D
x Superscript one-fourth Baseline y Superscript 4
Option D
12

The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a linear model that predicts the race time (y) of a man of any age (x). Which equation represents this linear model?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
13

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
14

Which graph shows the solution set of ?

Question illustration
A
mc013-2.jpg
Option A
B
mc013-3.jpg
Option B
C
mc013-4.jpg
Option C
D
mc013-5.jpg
Option D
15

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)
16

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.
Option D
17

What is the value of (–3 + 3i) + (–2 + 3i)?

A
–5 – 6i
B
–5 + 6i
C
5 + 6i
D
5 – 6i
18

What is the solution set of the quadratic inequality

Question illustration
A
mc010-2.jpg
Option A
B
mc010-3.jpg
Option B
C
mc010-4.jpg
Option C
D
mc010-5.jpg
Option D
19

What property is used in the second step of solving the inequality below?______Given_________________________Multiplication Property

Question illustration
A
Identity Property
B
Addition Property
C
Multiplication Property
D
Transitive Property
20

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

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