AnswersPBCSD Co Enrolled 1200310Y Algebra 1Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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If (x – 5) is a factor of f(x), which of the following must be true?

A
A root of f(x) is x = –5.
B
A root of f(x) is x = 5.
C
Both x = –5 and x = 5 are roots of f(x).
D
Neither x = –5 nor x = 5 is a root of f(x).
2
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The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.Marcel converts the frequency table to a conditional relative frequency table by row.Which value should he use for Y? Round to the nearest hundredth.

Question illustration
A
0.19
B
0.45
C
0.82
D
0.90
3

Mariya is solving the quadratic equation by completing the square.4x2-20x+3=04x2-20x=-3A(x2-5x)=-3

A
-20
B
3
C
4
D
5
4

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)?

A
−8
B
−4
C
33
D
49
5

The model represents a perfect square monomial.What equation is represented by the model?

Question illustration
A
(2x)2 = 4x2
B
(2x2)2 = 4x4
C
(4x)2 = 8x2
D
(4x2)2 = 8x8
6

Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.162m3n4 + 45n= 9n(_______ + 5)

A
16m3n3
B
16m3n4
C
18m3n3
D
18m3n4
7

Which statement is true about the polynomial –10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

A
It is a monomial with a degree of 4.
B
It is a monomial with a degree of 7.
C
It is a binomial with a degree of 6.
D
It is a binomial with a degree of 8.
8

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

A
{2, 40}
B
{4, 20}
C
{5, 16}
D
{8, 10}
9

The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean.

A
2
B
4
C
8
D
16
10

The graph of the function f(x) = (x + 2)(x − 4) is shown.

Question illustration
A
all real values of x where x < −2
B
all real values of x where −2 < x < 4
C
all real values of x where 1 < x < 4
D
all real values of x where x < 0
11

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Question illustration
A
14
B
20
C
45
D
54
12

The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.

Question illustration
A
42
B
81
C
120
D
123
13

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
14

The box plot represents the number of math problems on the quizzes for an algebra course.What is the range of the data?

Question illustration
A
6
B
7
C
9
D
10
15

A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. Points and a line show a downward trend.

Question illustration
A
–0.83
B
–0.21
C
0.21
D
0.83
16

The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.Table B: Frequency of Foreign-Language Studies by RowWhich table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Question illustration
A
Table A, because the given condition is that the student is in high school.
B
Table A, because the given condition is that the student is taking a foreign language.
C
Table B, because the given condition is that the student is in high school.
D
Table B, because the given condition is that the student is taking a foreign language.
17

The graph represents a distribution of data.

Question illustration
A
5
B
10
C
30
D
50
18

You can use a system of equations to graph and solve the polynomial equation . Which statement is true?

Question illustration
A
The system has one solution, and the equation has three zeroes.
B
The y-coordinates of the solutions to the system and the zeroes of the equation are not equal.
C
The x-coordinates of the solutions to the system and the zeroes of the equation are not equal.
D
The equation has one zero, and the system has three solutions.
19

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).
20

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

A
3
B
6
C
112
D
121

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