Unit Test — Cumulative exam Answers

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23
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The graph of f(x) is shown.

Question illustration
A
–2 to –1
B
–1.5 to 0.5
C
0 to 1
D
0.5 to 1.5
24
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For the polynomial –2m2n3 + 2m?n3 + 7n2 – 6m4 to be a binomial with a degree of 4 after it has been fully simplified, which must be the missing exponent on the m in the second term?

A
0
B
1
C
2
D
4
25

Which algebraic expression is a trinomial?

A
x3 + x2 –
Option A
B
2x3 – x2
C
4x3 + x2 –
Option C
D
x6 – x +
Option D
26

Staff from the school newspaper is taking a poll to find out how students in the school are going to vote in the upcoming election for class president. Which group would best represent a sample population?

A
Every tenth student staying after school.
B
Every tenth student in the library at lunch.
C
Every tenth student in the main hallway between class.
D
Every tenth student in the student section at the school football game.
27

The ages of the people in attendance at the showing of an award-winning foreign film are shown below.

Question illustration
A
The data is symmetrical, showing that the majority of the attendees were between the ages of 30 and 50.
B
The data is symmetrical, showing that the majority of the attendees were between the ages of 21 and 60.
C
The data is skewed, showing that the majority of the attendees were between the ages of 30 and 50.
D
The data is skewed, showing that the majority of the attendees were between the ages of 21 and 60.
28

Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20?

A
= –3
Option A
B
= –4
Option B
C
= 3
Option C
D
= 4
Option D
29

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4

A
–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
B
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
C
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
D
3x4 + x3y – 8x2y2 + 9xy3 – 13y4
30

Which term could be put in the blank to create a fully simplified polynomial written in standard form?8x3y2−_____+3xy2−4y3

A
x2y2
B
x3y3
C
7xy2
D
7x0y3
31

Ryan called each school in the district to determine whether or not they have a recycling program. What is true about Ryan’s data collection?

A
Ryan conducted a survey where he asked about qualitative data.
B
Ryan conducted a survey where he asked about quantitative data.
C
Ryan conducted an observational study where he asked about qualitative data.
D
Ryan conducted an observational study where he asked about quantitative data.
32

Alina fully simplifies this polynomial and then writes it in standard form.xy2 – 2x2y + 3y3 – 6x2y + 4xy2

A
xy2
B
5xy2
C
–8x2y
D
–2x2y
33

What possible changes can Martha make to correct her homework assignment? Select two options.

A
The first term, 5x3, can be eliminated.
B
The exponent on the first term, 5x3, can be changed to a 2 and then combined with the second term, 2x2.
C
The exponent on the second term, 2x2, can be changed to a 3 and then combined with the first term, 5x3.
D
The constant, –3, can be changed to a variable.
E
The 7x can be eliminated.
34

Which statement is true about the polynomial 3j4k−2jk3+jk3−2j4k+jk3 after it has been fully simplified?

A
It has 2 terms and a degree of 4.
B
It has 2 terms and a degree of 5.
C
It has 1 term and a degree of 4.
D
It has 1 term and a degree of 5.
35

Which algebraic expression is a polynomial?

A
3m2n – +
Option A
B
– + 4m5
Option B
C
– 3mn5 +
Option C
D
7mn + +
Option D
36

What are the solutions to the equation 0 = x2 – x –6? Select two options

A
x = –3
B
x = –2
C
x = 0
D
x = 2
E
x = 3
37

liana started to evaluate the function f(x) = 2x2 – 3x + 7 for the input value 2.f(x) = 2(2)2 – 3(2) + 7 = 2(4) – 3(2) + 7

A
9
B
10
C
16
D
17
38

Which algebraic expression is a polynomial?

A
4x2 – 3x +
Option A
B
–6x3 + x2 –
Option B
C
8x2 +
Option C
D
–2x4 +
Option D
39

An algebra tile configuration where the 2 largest tiles are labeled plus x squared, there are 4 tiles labeled negative x, where each tile is half the size of the largest tiles, and 6 tiles labeled minus that are each one-quarter the size of the largest tile.

Question illustration
A
2x2 – 4x – 6
B
2x2 + 4x + 6
C
–2x2 – 4x – 6
D
–2x2 + 4x + 6
40

Which statement describes the graph of f(x) = 4x2 + 20x + 25?

A
The graph does not intersect the x-axis.
B
The graph touches the x-axis at (–2.5, 0).
C
The graph intersects the x-axis at (–0.4, 0) and (0.4, 0).
D
The graph intersects the x-axis at (2, 0) and (5, 0).
41

A researcher wants information about rainfall patterns over the past 20 years. Instead of collecting new measurements, the researcher uses data from a government weather database.

A
It provides easy access to a large amount of existing data.
B
It guarantees that the data collected will be accurate.
C
It allows the researcher to control every measurement.
D
It collects new data faster than weather stations.
42

An algebra tile configuration. There are 3 large tiles, 5 tiles each half the size of a large tile, and 8 tiles each one-quarter the size of a large tile. Two of the large tiles are labeled plus x squared and 1 is labeled negative x square. Two smaller tiles are labeled plus x and 3 are labeled negative x. Six of the smallest tiles are labeled + and 2 are labeled minus.

Question illustration
A
x2 – x – 4
B
x2 – x + 4
C
3x2 – 5x + 8
D
3x2 – 5x – 8

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