AnswersDCSS Algebra B-CR 24-25Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.

Question illustration
A
The vertex is the maximum value.
B
The axis of symmetry is x = .
Option B
C
The domain is all real numbers.
D
The range is all real numbers.
E
The function is decreasing from (−∞, 6.75).
2
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Which is the graph of g(x) = – 2?

Question illustration
A
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 2.25)
Option A
B
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 0.44)
Option B
C
On a coordinate plane, an exponential function decreases from quadrant 2, through quadrant 3, into quadrant 4 and approaches y = negative 2. It crosses the y-axis at (0, negative 1)
Option C
D
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 2. It crosses the y-axis at (0, 3)
Option D
3

The table shows a company’s profit based on the number of pounds of food produced.

Question illustration
A
$5,150
B
$5,300
C
$10,150
D
$11,000
4

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.

A
The domain is {x| x ≥ 3}.
B
The range is {y| y ≥ –1}.
C
The function decreases over the interval (–∞, 3).
D
The axis of symmetry is x = –1.
E
The vertex is (3, –1).
5

A graph with both axes numbered 1 to 10. A line increases from 1 to 3 then decreases from 3 to 5.

Question illustration
A
f(x) = 2(x – 5)(x – 1)
B
f(x) = –2(x – 5)(x – 1)
C
f(x) = 2(x + 5)(x + 1)
D
f(x) = –2(x + 5)(x + 1)
6

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

A
right 5, down 23
B
left 5, down 23
C
right 5, up 27
D
left 5, up 27
7

The graph represents a distribution of data.

Question illustration
A
5
B
10
C
30
D
50
8

The data in the table represents the predicted price of a gallon of milk, y, for number of years, x.

Question illustration
A
y = ax + b
B
y = ax2 + b
C
y = abx
D
y = a + bx
9

Find the coordinates of the midpoint of with endpoints K(–20, 3) and L(12, –2).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

What is the equation of the line that is perpendicular to the line y = 6 and passes through the point (–4, –3)?

A
x = –4
B
x = –3
C
x =
Option C
D
x = 6
11

Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a rectangle represented by the factor x + 8. What is the missing side length represented by x + 8 units of the rectangle?

A
7
B
15
C
20
D
28
12

Which formula can be used to describe the sequence?

Question illustration
A
f(x) = −3
Option A
B
f(x) = −3
Option B
C
f(x) = (3)x − 1
Option C
D
f(x) = (−3)x − 1
Option D
13

Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?

A
(2, 12)
B
(2, 18)
C
(2, 7)
D
(3, 7)
14

Which is the graph of the sequence defined by the function f(x + 1) = f(x) when the first term in the sequence is 375?

Question illustration
A
Option
B
Option
C
Option
D
Option
15

Which function represents exponential decay?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 4
Option C
D
f(x) = 4
Option D
16

The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

Question illustration
A
It increases the mean value of the prizes.
B
It decreases the mean value of the prizes.
C
It increases the median value of the prizes.
D
It decreases the median value of the prizes.
17

A quadratic equation of the form 0 = ax2 + bx + c has one real number solution. Which could be the equation?

A
0 = 2x2 – 4x + 1
B
0 = 2x2 – 5x + 3
C
0 = –2x2 – 4x – 2
D
0 = –2x2 – 3x – 1
18

What is the endpoint of a line segment with these points?Endpoint: Z(–21, 15)Midpoint: M(–13, 29)

A
(–5, 43)
B
(–17, 22)
C
(–27, 21)
D
(–29, 1)
19

Which value of a in the exponential function below would cause the function to shrink?f(x) = a

Question illustration
A
Four-fifths
Option A
B
Five-fourths
Option B
C
Three-halves
Option C
D
Seven-fourths
Option D
20

A line segment has endpoints P(–8, 7) and Q(6, –3).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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