Quiz about Algebra SOL Practice Test

Question 1

When completely factored, what does 4x² - 11x + 6 equal?

Accepted Answer

(4x - 3)(x - 2)

Answer

(2x + 2)(2x + 3)

Answer

(2x - 2)(2x - 3)

Answer

(x + 2)(4x + 3)

Question 2

Find the quotient of (18x² + 15x - 18) and (3x - 2).

Accepted Answer

3(2x + 3)

Answer

6x2 + 9

Answer

(2x + 3)(3x - 2)

Answer

6x² + 5x - 6

Question 3

What are the factors of 18m² - 8n², when it is completely factored?

Accepted Answer

2(3m + 2n)(3m - 2n)

Answer

2(9m² - 4n²)(9m² + 4n²)

Answer

2(9m² - 4n²)

Answer

(3m + 2n)(3m - 2n)

Question 4

Find the slope of the line passing through the point (-1, -3) and having an x-intercept of 2.

Accepted Answer

1

Answer

-(1/5)

Answer

1/3

Answer

5

Question 5

Solve the equation for b.
2b + by = 7x

Accepted Answer

b = ^{(7x - y)}/ ₍₂₎

Answer

b = ^(7x)/ _(2y)

Answer

b = ^(7x)/ _{(2 + y)}

Answer

b = ^{(7x - 2)}/ _(y)

Question 6

Galen is planning a trip to New York City. His plane ticket costs $750.00 and the hotel will cost $125.00 each night. If he wants to spend no more than $1,400.00, how many nights can he stay?

Accepted Answer

no more than 5 nights

Answer

no more than 3 nights

Answer

no more than 4 nights

Answer

no more than 6 nights

Question 7

Identify the property that justifies the work between Step 2 and Step 3.

Accepted Answer

Additive Identity Property

Answer

Additive Inverse Property

Answer

Subtraction Property of Equality

Answer

Division Property of Equality

Question 8

What are the solutions of the equation
2x² - 6x - 36 = 0?

Accepted Answer

{-3, 6}

Answer

{-12, 3}

Answer

{-6, 3}

Answer

{-3, 2, 6}

Question 9

Which systems of equations has an infinite number of real solutions?

Accepted Answer

y = 2x + 4
6x - 3y = -12

Answer

y = -2x + 4
2x - 4y = 4

Answer

8x + 2y = 30
x + y = 15

Answer

y = 3x + 4
3x - y = 6

Question 10

A group of children and adults attended the local fair.
Which systems of equations could be used to determine the value of a and c?

Accepted Answer

a + c = 29
12a + 8c = 296

Answer

12a + 8c = 29
296 + 8c = 12a

Answer

12a + 8c = 296
29(12a + 8c) = 296

Answer

12a + 8c = 296
a + c = 296

Question 11

Solve the equation for y.
^{(y - 5)}/₍₂₎ = 3x

Accepted Answer

y = 6x + 5

Answer

y = 6x + 10

Answer

y = 3x + 5

Answer

y = x + 5

Question 12

Solve:
^{(3x + 1)}/₍₄₎ = ^{(2x - 1)}/₍₅₎

Accepted Answer

x = -⁹/₇

Answer

x = -²/₇

Answer

x = -⁸/₅

Answer

x = 0

Question 13

Which is the solution to the system of equations shown?
3x - y = 6
x - 2y = -18

Accepted Answer

(6, 12)

Answer

(-⁶/₇, ⁶⁰/₇)

Answer

(²⁴/₅, ⁵⁷/₇)

Answer

(12, 6)

Question 14

What are the apparent roots of the given graphed equation?

Accepted Answer

{-1, 6}

Answer

{-6, -4, -1}

Answer

{-1, 4, 6}

Answer

{4}

Question 15

Which is the graph of the solution to 13 < ¹/₂(6x - 4)?

Accepted Answer

Graph B

Answer

Graph A

Answer

Graph C

Answer

Graph D

Question 16

If f(-2) = 4. which of the following could be the equation for f(x)?

Accepted Answer

f(x) = (x + 2)² + 4

Answer

f(x) = -2x + 4

Answer

f(x) = -2(x + 4)

Answer

f(x) = x² - 2x + 4

Question 17

Identify each function that has a root of 2.

Accepted Answer

I and IV only

Answer

I and III only

Answer

I, II, and III only

Answer

IV and V only

Question 18

Josh was collecting data on the number of pets that were owned by the students in his class. The first nine responses are shown below.
0, 0, 0, 0, 1, 1, 2, 2, 3
He has one more classmate to ask. Which of the following answers would increase the standard deviation the most?

Accepted Answer

6

Answer

0

Answer

1

Answer

3

Question 19

What is the x-intercept of the line with the equation y = 2x + 6?

Accepted Answer

-3

Answer

-6

Answer

2

Answer

6

Question 20

The graph of a direct variation passes through the point (4, 2). Which of the following points will also be on the graph?

Accepted Answer

(10, 5)

Answer

(2, 4)

Answer

(6, 4)

Answer

(8, 1)

Question 21

Find the equation of the curve of best fit that most appropriately models the data below:
{(-3, 26), (-2, 9), (2, 21),
(3, 44), (6, 161)}

Accepted Answer

y = 4x² + 3x - 1

Answer

y = 13.34x + 36.20

Answer

y = 0.047x - 1.27

Answer

y = x² - 3x

Question 22

Determine the x- and y-intercept of the linear function 2x = 3y - 9.

Accepted Answer

(-4.5, 0) and (0, 3)

Answer

(2, 0) and (0, 3)

Answer

(3, 0) and (0, 2)

Answer

(3, 0) and (0, -4.5)

Question 23

Juan's family is driving from New York City to Richmond. The graph relates the distance in miles from Richmond, y, and travel time in hours, x. What is the best interpretation of the y-intercept in the graph?

Accepted Answer

The number of hours it takes to drive to New York from Richmond.

Answer

The distance from New York to Richmond.

Answer

The rate at which you drive in miles/hour.

Answer

The distance the family is from New York.

Question 24

A teacher graded the tests for each of her students. She calculated a mean grade of 80 and a standard deviation of 3. One of her students, Katrina, had a z-score of 2. What grade did Katrina get on the test?

Accepted Answer

86

Answer

82

Answer

78

Answer

74

Question 25

The box-and-whisker plots shown illustrate the points scored by 8 players on the boys basketball team and 9 players on the girls basketball team.
All of these scores were then combined into one box-and-whisker plot. Which of the following will not be true about the combined box-and-whisker plot?

Accepted Answer

The lower quartile will be greater than 5.

Answer

The lower extreme will be 2.5.

Answer

The median will be less than 11.

Answer

The upper extreme will be 15.5.

Question 26

The graph shown represents the function f(x) = -(¹/₂)x + 2. For what value of x does f(x) = 4?

Accepted Answer

-4

Answer

0

Answer

2

Answer

4

Question 27

An experiment is conducted where weights are added to a spring which is then measured.
Which of the following is true about the relationship between w and s?

Accepted Answer

There is a direct variation between w and s because s = 3w.

Answer

There is a direct variation between w and s because sw = 48.

Answer

There is a inverse variation between w and s because s = 3w.

Answer

There is a inverse variation between w and s because sw = 48.

Question 28

Which of the representations shown best represent the rule below?
"y is equal to three less than twice a number, x."

Accepted Answer

A, E, and F

Answer

B, C, and D

Answer

A, B, and F

Answer

C, D, and E

Question 29

Which of the graphs shown does not represent a function?

Accepted Answer

Graph C

Answer

Graph A

Answer

Graph B

Answer

Graph D

Question 30

Which of the following is not true about the box-and-whisker plots shown?

Accepted Answer

A larger percentage of data is between 7 and 11 in Plot A than in Plot B.

Answer

The range of the two plots is the same.

Answer

The interquartile range of the two plots is the same.

Answer

A larger percentage of data is greater than 11 in Plot A than in Plot B.

Question 31

Students in the first grade were completing a craft by gluing beans to circles of different sizes. The chart given shows the radius of the circle and the number of beans students were able to glue to the circle.
Using the quadratic curve of best fit, predict the number of beans that would be placed on a circle with a radius of 10 cm.

Accepted Answer

200

Answer

224

Answer

240

Answer

320

Question 32

Given the relation:
R = {(3, 7), (2, y), (x, 5), (1, 6), (4, 8)}
Which of the following values of x and y will make the relation R a function?

Accepted Answer

x = 5, y = 5

Answer

x = 1, y = 3

Answer

x = 4, y = 9

Answer

x = 3, y = 4

Question 33

Roxie has been collecting data on the number of people that enter her store per hour and the total amount of items sold during that hour.
Using the line of best fit for the data, what is the best estimate for the number of items sold is 26 people enter the store?

Accepted Answer

16

Answer

18

Answer

20

Answer

25

Question 34

Given the graph of f(x) = 2x + 4, what are the apparent zeros?

Accepted Answer

{-2}

Answer

{-4, 2}

Answer

{-2, 4}

Answer

{4}

Algebra SOL Practice Test

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