AnswersMO-Algebra I B-CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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

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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.
2
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The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

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A
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 39, 44. There are 2 dots above 31, 35, 36, 38. There are 3 dots above 41.
Option A
B
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 44. There are 2 dots above 30, 35, 38. There are 3 dots above 32, 40.
Option B
C
A number line going from 25 to 45. There is 1 dot above 26, 31, 33, 34, 41, 44. There are 2 dots above 30, 35, 37. There are 3 dots above 32, 40.
Option C
D
A number line going from 25 to 45. There is 1 dot above 26, 27, 33, 40, 44. There are 2 dots above 29, 30, 32, 35, 38, 45. There are 3 dots above 39.
Option D
3

Which is the graph of the function f(x) = x2 + 2x + 3?

A
On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).
Option D
4

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

A
The median number of books to a box is 8.
B
The median number of books to a box is 9.
C
The mean number of books to a box is 11.
D
The mean number of books to a box is 12.
5

A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers.

Question illustration
A
The mean will increase, and the median will stay the same.
B
The median will increase, and the mean will stay the same.
C
The mean will increase more than the median, but both will increase.
D
The median will increase more than the mean, but both will increase.
6

The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a2 + 2. What is X2Y – Z in simplest form?

A
2a2 – 5a – 2
B
3a3 – 6a2 – 2
C
–3a3 – 2
D
–3a2 – 2
7

Which is the graph of a quadratic equation that has a negative discriminant?

A
On a coordinate plane, a parabola opens down. It goes through (negative 4, negative 4), has a vertex at (negative 2, 0), and goes through (0, negative 4).
Option A
B
On a coordinate plane, a parabola opens down. It goes through (negative 4, negative 4), has a vertex at (negative 2, 0), and goes through (0, negative 4).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 4, 4), has a vertex at (negative 2, 0), and goes through (0, 4).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 4, 8), has a vertex at (negative 2, 4), and goes through (0, 8).
Option D
8

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

A
g = –9 and h = 7
B
g = 9 and h = –3
C
g = –7 and h = 7
D
g = 7 and h = 3
9

Which equation has an a-value of –2, a b-value of 1, and a c-value of 3?

A
0 = –2x2 + x + 3
B
0 = 2x2 + x + 3
C
0 = –2x2 + 3
D
0 = 2x2 – x + 3
10

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

A
The discriminant is −55, so the equation has 2 real solutions.
B
The discriminant is −55, so the equation has no real solutions.
C
The discriminant is 73, so the equation has 2 real solutions.
D
The discriminant is 73, so the equation has no real solutions.
11

Mischa wrote the quadratic equation 0=-x2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

A
c=-7
B
c=-1
C
c=4
D
c=7
12

The function f(x) = –x2 – 4x + 5 is shown on the graph.

Question illustration
A
The domain of the function is all real numbers less than or equal to −2.
B
The domain of the function is all real numbers less than or equal to 9.
C
The range of the function is all real numbers less than or equal to −2.
D
The range of the function is all real numbers less than or equal to 9.
13

What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

A
4y2 + 34
B
3y2 + y + 34
C
4y2 + 14y + 34
D
4y4 + 34
14

What is the product?(5r − 4)(r2 − 6r + 4)

A
5r3 − 34r2 + 44r − 16
B
5r3 − 4r2 + 14r − 16
C
5r3 − 6r − 16
D
5r3 + 10r − 16
15

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

A
(−4, 0) and (9, 0)
B
(4, 0) and (−9, 0)
C
(−3, 0) and (12, 0)
D
(3, 0) and (−12, 0)
16

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.The vertex is the maximum value.The axis of symmetry is x = .The domain is all real numbers. The range is all real numbers.The function is decreasing from (−∞, 6.75).

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).

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