Quiz about NC Math 1 Review 102

Question 1

Which graph shows the solution for the system of inequalities below?

Accepted Answer

A

Answer

B

Answer

C

Question 2

What is the smallest positive integer for x, so that the value of f(x) = 200(2)^x is greater than the value of g(x) = 500x + 400?

Accepted Answer

C. 3

Answer

A. 1

Answer

B. 2

Question 3

What is the y-intercept of the function f(x) = 3(2x - 4)?

Accepted Answer

A. (0, -4)

Answer

B. (0, -2)

Answer

C. (0, 1)

Question 4

A girl drops a ball from a height of 10 feet. Each time the ball hits the ground, it bounces to 2/3 its previous height. Which equation gives y, the height of the ball after x bounces?

Accepted Answer

A. y = 10(2/3)^x

Answer

B. y = 10(3/2)^x

Answer

C. y = 3(10)^x

Question 5

Jane owns x comic books. Derrek owns y comic books. The number of comic books Jane owns is 1 less than 2 times the number Derrek owns. Together they have a total of 11 comic books. How many comic books does Derrek own?

Accepted Answer

A. 3

Answer

B. 4

Answer

C. 5

Question 6

James is at a gift sale where everything costs $6 (tax included). James has $50. James must have at least $28 remaining when he is finished buying gifts. What is the greatest number of gifts James can buy?

Accepted Answer

A. 3

Answer

B. 4

Answer

C. 5

Question 7

The function f(x) = 1/2 x - 6 was replaced with f(x) + k = 1/2 x - 4. What is the value of k?

Accepted Answer

A. 2

Answer

B. -2

Answer

C. 4

Question 8

The function f(x) = 10,000 - 1,500x can be used to predict the number of termites in an area x days after the area has been treated. How many termites are predicted in the area after 5 days?

Accepted Answer

A. 2,500

Answer

B. 5,000

Answer

C. 7,500

Question 9

Avis used a quadratic function to solve a problem. The factored form of the function is shown below. (4x + 3)(x - 3) = 0. What is the positive solution to the problem?

Accepted Answer

B. 3

Answer

A. -3/4

Answer

C. 4

Question 10

The cost to rent a construction crane is $750 per day plus $250 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500 per day?

Accepted Answer

A. 4 hours

Answer

B. 5 hours

Answer

C. 6 hours

Question 11

Jorge graphed the line shown below.

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 12

Shirley graphed the line shown on the coordinate plane below.

Accepted Answer

2.00

Answer

4.00

Answer

6.00

Answer

8.00

Question 13

The table below shows the amount of money Bernard earned selling newspapers during a 6-week time period.

Accepted Answer

A strong, positive relationship

Answer

A weak, positive relationship

Answer

A strong, negative relationship

Answer

No relationship

Question 14

A quadrilateral has vertices located at (3, 5), (4, 2), (4, 1), and (2, 1). Which best describes the figure?

Accepted Answer

Trapezoid

Answer

Rhombus

Answer

Rectangle

Answer

Square

Question 15

A school opened with 100 students. The number of students has increased by 25% each year since the school opened. Which function can be used to determine the number of students at the school x years after it opened?

Accepted Answer

f(x) = 100(1.25)^x

Answer

f(x) = 0.25x + 100

Answer

f(x) = 100(1.25x)

Answer

f(x) = 100x + 25

Question 16

A teacher surveyed 160 students to see how many students leave school during lunch. The results of the survey are shown in the relative frequency table below.

Accepted Answer

24%

Answer

13%

Answer

31%

Answer

40%

Question 17

A liquid is evaporating. The amount of a liquid remaining, in liters, after x weeks is modeled by the equation y = 1000(0.78)^x. Approximately what percent of the liquid evaporates per week?

Accepted Answer

53%

Answer

47%

Answer

78%

Answer

22%

Question 18

Using the line of best fit for the data in the table, what is the approximate predicted monthly expense for owning 3 pets?

Accepted Answer

B) $75

Answer

A) $66

Answer

C) $80

Answer

D) $100

Question 19

How many units of merchandise does the company need to sell to make the maximum profit?

Accepted Answer

B) 300

Answer

A) 100

Answer

C) 500

Answer

D) 400

Question 20

Which equation has a graph which is perpendicular to the line y = -2x and which passes through the point (-2, 3)?

Accepted Answer

B) x + 2y = 8

Answer

A) x - 2y = 8

Answer

C) x - 2y = -8

Answer

D) x + 2y = -8

Question 21

Which situation could be best modeled with an exponential function?

Accepted Answer

A) The value of a car that loses 6% of its value per year

Answer

B) The cost to purchase different weights of bananas at a store

Answer

C) The total number of miles run by a person who runs 8 miles per day

Answer

D) The cost of a meal at a restaurant

Question 22

Fred has $200. Each week he will save an additional $50. If Fred does not spend any of the money, how many weeks will it take for Fred to have $650?

Accepted Answer

B) 13

Answer

A) 9

Answer

C) 17

Answer

D) 11

Question 23

What is represented by the y-intercept of the line of best fit for this data set?

Accepted Answer

C. The predicted price of a ticket in 1990

Answer

A. The predicted average change in ticket price per year

Answer

B. The predicted number of years per $1 increase in ticket price

Question 24

Which formula could be used to determine the volume of an object?

Accepted Answer

C. V = m/D

Answer

A. V = mD

Answer

B. V = D/m

Question 25

John collected data on the number of new movies produced in different years. Suppose that the number of movies made in 2005 was 595, and the number made in 2010 was 895. What is the average rate of change in the number of new movies between 2005 and 2010?

Accepted Answer

A. 50 movies per year

Answer

B. 60 movies per year

Answer

C. 300 movies per year

Question 26

What is the range of the relation shown in the graph below?

Accepted Answer

A. All $ y \leq 5 $

Answer

B. All $ x \leq 5 $

Answer

C. All values of $ y $

Answer

D. All values of $ x $

Question 27

Patrick compared the slope of the function $ g(x) = -2x - 8 $ to the slope of the linear function shown in the table below. Let $ m $ be the slope of $ g(x) $ and $ n $ be the slope of $ h(x) $. Which statement is true?

Accepted Answer

B. $ m > n $

Answer

A. $ m < n $

Answer

C. $ m = n $

Question 28

Solve $ 6 - 3(4x - 5) = 7 $.

Accepted Answer

$ \frac{4}{3} $

Answer

$ \frac{7}{6} $

Answer

$ \frac{11}{6} $

Answer

$ \frac{7}{3} $

Question 29

Which inequality is shown on the graph below?

Accepted Answer

( y <= 1/2x - 1 )

Answer

( y <= 1/2x + 1 )

Answer

( y >= 1/2x - 1 )

Answer

( y >= 1/2x + 1 )

Question 30

What is the value of ( x ) in the equation: ( 6(4x + 5) = 3(8x + 8) + 3 )?

Accepted Answer

( 1/3 )

Answer

-3

Answer

( -1/7 )

Answer

7

Question 31

Which is an equation of a line that is parallel to line ( MN )?

Accepted Answer

9x + 18y = -9

Answer

2x - y = 3

Answer

x - 2y = 3

Answer

8x + 4y = 4

Question 32

What is the slope of the line between the balloon and the point where it was tied?

Accepted Answer

( 6/11 )

Answer

( 11/6 )

Answer

30

Answer

55

Question 33

Which equation is equivalent to ( 5x - 2(7x + 1) = 14x )?

Accepted Answer

-9x + 1 = 14x

Answer

9 - 2x = 14x

Answer

-9x - 2 = 14x

Answer

12x - 1 = 14x

Question 34

At a local grocery store, watermelons are sold for $4 each plus an additional $0.25 per pound. Write a function that describes the relationship between x, the number of pounds of a watermelon, and f(x), the total cost of the watermelon.

Accepted Answer

f(x) = 4 + 0.25x

Answer

f(x) = 4.25x

Answer

f(x) = 4(0.25x + 1)

Answer

f(x) = 4(x) + 0.25x + 4

Question 35

A group of 3 children and 2 adults pay a total of $120 to take a karate class. A group of 5 children and 1 adult take the same karate class for $95. What is the total cost for 1 child and 1 adult to take the karate class?

Accepted Answer

$60

Answer

$55

Answer

$51

Answer

$48

Question 36

Find an equation for the line with y-intercept 3 that is perpendicular to the line 3y = 2x - 4.

Accepted Answer

3y = 9 - 2x

Answer

2y = 6 - 3x

Answer

2y = 3x + 6

Answer

3y = 2x + 9

Question 37

Which is the line parallel to the line y = 8x - 2?

Accepted Answer

y = 8x + 3

Answer

y = 2x - 8

Answer

y = 1/8x + 3

Answer

y = 4 + 8x

Question 38

The equation of line j is 6x + 5y = 3, and the equation of line q is 5x - 6y = 0. Which statement about the two lines is true?

Accepted Answer

Lines j and q are perpendicular.

Answer

Lines j and q have the same y-intercept.

Answer

Lines j and q are parallel.

Answer

Lines j and q have the same x-intercept.

Question 39

Which best represents the graph of y = 2x - 2?

Accepted Answer

Graph A

Answer

Graph B

Answer

Graph C

Answer

Graph D

Question 40

The data in the table show the cost of renting a bicycle by the hour, including a deposit. If hours, h, were graphed on the horizontal axis, and cost, c, were graphed on the vertical axis, what would be the equation of a line that fits the data?

Accepted Answer

c = 5h + 5

Answer

c = 5h

Answer

c = 1/5h + 5

Answer

c = 5h - 5

Question 41

Harry determined that every time he tapped his wand the sound increased 4 decibels. He noticed that after tapping his wand three times, the sound measured 34 decibels. Which equation best represents the sound when w represents a move of the wand and s represents the loudness of the sound?

Accepted Answer

s = 4w + 22

Answer

s = 4w - 22

Answer

s = w + 22

Answer

s = 4w - 43

Question 42

The total cost f(d) in dollars of renting a sailboat for d days is given by the function f(d) = 120 + 60d. If the total cost was $360, for how many days, d, was the sailboat rented?

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 43

According to the graph, which statement best describes the slope?

Accepted Answer

As the distance traveled increases by 20, the amount of gas in the tank decreases by 3.

Answer

As the distance traveled increases by 3, the amount of gas in the tank increases by 20.

Answer

As the distance traveled increases by 30, the amount of gas in the tank increases by 2.

Answer

As the distance traveled decreases by 20, the amount of gas in the tank decreases by 3.

Question 44

At what rate does Ryan write his composition?

Accepted Answer

1 sentence per minute

Answer

0.5 sentence per minute

Answer

1.5 sentences per minute

Answer

2 sentences per minute

Question 45

Which of the following equations describes the same function in the table below?

Accepted Answer

y = 5x - 2

Answer

y = \frac{1}{5}x - 2

Answer

y = 5x + 2

Answer

y = 5x + 2

Question 46

What is the slope of the equation 2x - 5y = 10?

Accepted Answer

\frac{2}{5}

Answer

-2

Answer

5

Answer

\frac{5}{2}

Question 47

Brock is six feet tall. He climbs a ladder to paint some trim on his house. For each rung that he climbs, Brock is 1.2 feet higher above the ground. Which equation could you use to calculate the distance, d, from the top of Brock's head to the ground if r represents the number of ladder rungs he has climbed?

Accepted Answer

d = 1.2r + 6

Answer

d = 1.2r

Answer

d = r + 6

Answer

d = 6r + 1.2

Question 48

If this trend continues, in which week will she give a 12-minute speech?

Accepted Answer

24

Answer

2

Answer

12

Answer

15

Question 49

How many rosebushes will Dr. Chait have to buy from the Garden Club before he would begin to save money?

Accepted Answer

7

Answer

5

Answer

25

Answer

50

NC Math 1 Review 102

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