Question 1

The table represents ordered pairs of a relation. Which replacement could be made so that the relation is a function?

Accepted Answer

Replace (-1, 8) with (1, 8)

Answer

Replace (-1, 6) with (-1, 8 )

Answer

Replace (-3, 4) with (1, 8)

Answer

Replace (-2, 5) with (-3, 8)

Question 2

A function is graphed below. What is the domain of this function?

Accepted Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Question 3

A student works a job after school and each month sets aside an equal amount of money for savings. The equation f (x) = 1,000 + 124x represents the amount of money, in dollars, the student has saved after x months. Which part of the function represents the initial amount of money he had?

Accepted Answer

1000

Answer

124

Answer

x

Answer

124x

Question 4

Solve the equation for x. $\frac{-4x+5}{3}=\ -2$

Accepted Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Question 5

What is the slope of the given graph?

Accepted Answer

3

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

-3

Question 6

Solve for x: 4x - 2 < 8 - (6x - 10)

Accepted Answer

x < 2

Answer

x > 2

Answer

x > -6.5

Answer

x <-6.5

Question 7

Solve the slope-intercept form of the equation of a line y = mx + b for x

Accepted Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

x = y - b

Answer

x = b - y

Question 8

Frankies charges $35 membership fee plus $8 per ride. Martin’s charges no membership fee and $15 per ride. For how many rides will the cost be the same at both places?

Accepted Answer

5

Answer

8

Answer

2.5

Answer

2

Question 9

What are the x and y intercepts for the equation 3x - 5y = 15

Accepted Answer

x-intercept 5; y-intercept -3

Answer

x-intercept -5; y-intercept -3

Answer

x-intercept -5; y-intercept 3

Answer

x-intercept 5; y-intercept 3

Question 10

Which inequality is shown by the graph below?

Accepted Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Question 11

Martha works at a bakery after school. She earns $7.50 per hour. How many hours does she need to work to earn at least $80?

Accepted Answer

11

Answer

13

Answer

12

Answer

10

Question 12

During a sale, customers receive an extra discount if they spend $100 or more. So far, Philip’s purchases total $75. Which inequality can be solved to show how many more dollars d he must spend to receive the extra discount?

Accepted Answer

$1\le x\le4$

Answer

75 + d < 100

Answer

$1\le x\le4$

Answer

75 + d > 100

Question 13

Which of the following equations represents the graph shown?

Accepted Answer

$1\le x\le4$

Answer

y = - 2x - 3

Answer

$1\le x\le4$

Answer

y = 2x - 3

Question 14

What is the range of the relation below?

Accepted Answer

{-7, -4, -1, 2, 5}

Answer

{-2, -7, -1, -4}

Answer

{-2, -1, 0, 1, 2} and {-7, -4, -1, 2, 5}

Answer

{-2, -1, 0, 1, 2}

Question 15

Which statement matches the inequality $x\le50$ ?

Accepted Answer

The school will cancel classes if the average wind pressure is no more than 50

Answer

Daniel needs to score more than 50 in his exam

Answer

The temperature in the room was lower than 50 degrees after the AC was turned on.

Answer

Aria’s goal is to make at least 50 cupcakes this weekend

Question 16

Which of the following is NOT a function?

Accepted Answer

{(2, 1), (2, 3), (2, 5)}

Answer

{(1, 3), (2, 3), (3, 3)}

Answer

{(-3, 1), (-2, 2), (-1, 3)}

Answer

{(4, 4), (5, 6), (6, 8)}

Question 17

What is the range of the graph pictured?

Accepted Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Question 18

Using the scatter plot. What is the data recorded in year 2008?

Accepted Answer

8000

Answer

7000

Answer

9000

Answer

6000

Question 19

A linear model shows that the relationship between the number of customers in a local diner and the total sales for the day has a correlation coefficient of 0.93. Which statement is true about the relationship between the variables?

Accepted Answer

There is a strong relationship between the number of customers and the total sales for the day

Answer

There is no relationship between the number of customers and the total sales for the day

Answer

The higher the number of customers, the more sales there are

Answer

The more customers there are in a day, the lesser the sales are

Question 20

The function f(x) is linear with selected function values given in the table shown.

What is f(1)?

Accepted Answer

f(1) = 2

Answer

f(1) = - 4

Answer

f(1) = -2

Answer

f(1) = 4

Question 21

The profit, P, a donut shop store owner makes in one day when producing x dozen of donuts is given by the equation P = - 250 + 10x. Which of the following expressions gives the value of the price of each dozen donuts?

Accepted Answer

10

Answer

-250 + 10x

Answer

10x

Answer

-250

Question 22

For which of the following functions does f(2) = 2?

Accepted Answer

f(x) = 3x - 4

Answer

f(x) = x - 6

Answer

f(x) = 3x - 8

Answer

f(x) = 4x + 1

Question 23

Given the following graph, find f(-2)

Accepted Answer

-4

Answer

2

Answer

4

Answer

-2

Question 24

The graph of y=f(x) is shown below. Which point could be used to find f(4)?

Accepted Answer

Q

Answer

P

Answer

R

Answer

S

Question 25

John is using the substitution method to solve the system of equations below. Choose the best first step

y=6x

2x-5y=12

Accepted Answer

2x-5(6x)=12

Answer

2(6x)-5y=12

Answer

y = 6 (2x - 5y)

Answer

2x - 5y = 6x

Question 26

Betty is studying the amount that households in South Carolina spent on food over a number of years. The table shows the amount (in millions of dollars) spent in t years since the year 2000. To the nearest hundredth, what is the value of the correlation coefficient, r, for the data in the table shown.

Accepted Answer

r = 0.940

Answer

r = 0.884

Answer

r = 0.904

Answer

r = 0.944

Question 27

Hannah has two part-time jobs: babysitting and tutoring. The student earns an hourly wage at each job.

On Saturday, she earned a total of $150 for 5 hours of babysitting and 2 hours of tutoring.

On Sunday, she earned a total of $95 for 4 hours of babysitting and 1 hour of tutoring.

Which of the following systems of equations can be used to find x, the student’s hourly wage for babysitting, and y, the student’s hourly wage for tutoring?

Accepted Answer

5x+2y=150

and

4x+y=95

Answer

5x+2y=150

and

x+4y=95

Answer

2x+5y=150

and

x+4y=95

Answer

2x+5y=150

and

4x+y=95

Question 28

Which of the following linear equations matches the graph above?

Accepted Answer

(-2,3)

Answer

(2,3)

Answer

(3, -2)

Answer

(3,2)

Question 29

Solve the equation below.

16+2(x+3)=5x-5

Accepted Answer

9

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

-9

Question 30

Write the equation of the line passing through the points (- 3, 7) and (6, -5)

Accepted Answer

$1\le x\le4$

Answer

y=-4x + 3

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Question 31

At a fair, sandwiches sell for $5.00 each and drinks sell for $1.25 each. The equation 5x+1.25y=30 describes the number of sandwiches and drinks a family can buy with $30.00. What does the x-intercept represent?

Accepted Answer

The number of sandwiches they can buy if they buy no drinks

Answer

The cost of each sandwiches

Answer

The cost of each drinks

Answer

The number of drinks they can buy if they buy no sandwiches

Question 32

Which equation has a solution of all real numbers?

Accepted Answer

2x-6=2(x-3)

Answer

2(x+3)=4x-10

Answer

5x+12=5x+4+3x

Answer

8(x-3)+10=8x-20

Question 33

A relation is shown by the table. Which of the following statements is true?

Accepted Answer

It is a direct variation because y = 2x

Answer

It is an inverse variation because 2=xy

Answer

It is an inverse variation because 18 = xy

Answer

It is a direct variation because y=2x+1

Question 34

Spring Valley is selling tickets to a play. On the first day of ticket sales the school sold 12 senior citizen tickets and 10 student tickets for a total of $200. The school took in $160 on the second day by selling 8 senior citizen tickets and 10 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.

Accepted Answer

senior citizen ticket: $10, student ticket: $8

Answer

senior citizen ticket: $12, student ticket: $8

Answer

senior citizen ticket: $10, student ticket: $12

Answer

senior citizen ticket: $8, student ticket: $10

Question 35

Solve the compound inequality $x\le50$

Accepted Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Answer

$1\le x\le4$

Question 36

Which compound inequality represents the graph shown in the picture?

Accepted Answer

x < 5 or x > 7

Answer

$1\le x\le4$

Answer

x > 5 or x > 7

Answer

$1\le x\le4$

Question 37

The world’s tallest residential building has 101 floors.

T(n) models the number of tenants living on floor n of the tower.

What does the statement T(20)=T(c) mean?

Accepted Answer

Floor 20 and floor c have the same number of tenants

Answer

None of the above

Answer

The number of tenants on floor 20 is equal to c

Answer

The number of tenants on floor c is equal to 20

Question 38

If h(x)=7, and $x\le50$ . What is x?

Accepted Answer

18

Answer

-18

Answer

3

Answer

-3

Question 39

If x and y vary directly and y = 2 when x = 6, find y when x is 9

Accepted Answer

y = 3

Answer

y = 18

Answer

y = -3

Answer

y = 12

Question 40

Use point slope form to write the equation of a line that passes through the point (-3,12) with a slope of -8

Accepted Answer

(y-12) = -8(x+3)

Answer

(y+12) =-8(x+3)

Answer

(y+12) =-8(x-3)

Answer

(y-12) = -8(x-3)

Question 41

The correlation coefficient is used to determine

Accepted Answer

The strength of the relationship between the x and y variables

Answer

None of these

Answer

A specific value of the y-variable given a specific value of the x-variable

Answer

A specific value of the x-variable given a specific value of the y-variable

Question 42

The perimeter of the given triangle is 30. Find x

Accepted Answer

6

Answer

3

Answer

5

Answer

1

Question 43

Isle of Palm is a popular beach in South Carolina. P(t) models the number of people at the beach, t hours past midnight on a specific day. What does the statement P(10) = N mean?

Accepted Answer

There were N people at the beach at 10:00am

Answer

There were 10 people at the beach at N hours past midnight

Answer

There was an equal number of people at the beach at 10:00am and N hours past midnight

Answer

None of the above

Question 44

Solve and graph the given inequality

Accepted Answer

B

Answer

C

Answer

A

Answer

D

Question 45

Which property of real numbers justifies the work shown from step 1 to step 2?

Step 1: 5 (x + 2) = -3x + 6

Step 2: 5x + 10 = -3x + 6

Accepted Answer

Distributive Property

Answer

Identity Property

Answer

Commutative Property

Answer

Associative Property

Question 46

Which property of real numbers was used to get from step 3 to step 4?

Step 3: 8 x-10 = - 6

Step 4: 8x = 4

Accepted Answer

Addition Property of Equality

Answer

Additive Inverse Property

Answer

Substitution Property

Answer

Subtraction Property of Equality

Question 47

Describe the transformation of g(x) from f(x).

Accepted Answer

Down by 5

Answer

Right by 5

Answer

Left by 5

Answer

Up by 5

Question 48

Which of the following equations represents the graph shown?

Accepted Answer

$1\le x\le4$

Answer

y = 2x - 3

Answer

$1\le x\le4$

Answer

y = - 2x - 3

Question 49

Choose the situation that best represents the graph.

Accepted Answer

Mark drove to the store, looked for parking around, went to get groceries, then came home

Answer

Paul leaves home, drives through town, then stays in a rest area

Answer

Allan spent the night at a hotel, and drove home the next day

Answer

Peter drove to a friend’s house and stayed there overnight.

Question 50

Describe the transformation(s) from the graph of f(x) to the graph of g(x)

Accepted Answer

g(x) is translated down 2 units

Answer

g(x) is translated up 2 units

Answer

g(x) is less steep than the graph of f(x)

Answer

g(x) is a reflection across the y-axis

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