Quiz about Math 1 Finals

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

Accepted Answer

(0, -4)

Answer

(0, -2)

Answer

(0, 1)

Question 3

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

y = 10(2/3)^x

Answer

y = 10(3/2)^x

Answer

y = 3(10)^x

Question 4

The table below shows the amount of money Bernard earned selling newspapers during a 6-week time period. Which describes the relationship between the week, x, and the money Bernard earned, y?

Accepted Answer

C strong, positive relationship

Answer

A weak, positive relationship

Answer

B strong, negative relationship

Question 5

A system of equations is shown below. What is the approximate value of x in the solution of the system?

Accepted Answer

B 0.75

Answer

A 0.69

Answer

C 3.24

Question 6

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

Accepted Answer

C trapezoid

Answer

A rhombus

Answer

B rectangle

Question 7

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

B f(x) = 100(1.25)^x

Answer

A f(x) = 0.25x + 100

Answer

C f(x) = 100(1.25x)

Question 8

Jenna cut a piece of cloth several times. The table below shows the number of pieces of cloth she had after making several cuts. Which equation could be used to determine the number of pieces of cloth, y, Jenna had after x cuts?

Accepted Answer

y = 2^x

Answer

y = 2x

Question 9

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. Approximately what percent of the boys surveyed leave school during lunch?

Accepted Answer

B 24%

Answer

A 13%

Answer

C 31%

Question 10

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

B 53%

Answer

A 47%

Answer

C 78%

Question 11

The table below shows monthly pet expenses based on the number of pets owned. 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

$75

Answer

$66

Answer

$80

Question 12

The graph below shows the amount of profit, y, a company makes from selling x units of merchandise. How many units of merchandise does the company need to sell to make the maximum profit?

Accepted Answer

300

Answer

100

Answer

500

Question 13

A sequence is shown below: 10, 12, 14, 16, ... Which function can be used to determine the nth number in the sequence?

Accepted Answer

F(n) = 2n + 8

Answer

F(n) = n + 2

Answer

F(n) = 2n + 10

Question 14

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

Accepted Answer

x + 2y = 8

Answer

x - 2y = 8

Answer

x - 2y = -8

Question 15

Which situation could be best modeled with an exponential function?

Accepted Answer

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

Answer

The cost to purchase different weights of bananas at a store

Answer

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

Question 16

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

9

Answer

13

Answer

17

Question 17

The cost to mail a box of textbooks can be modeled by the function f(x) = 1.75x + 5.25, where x is the number of books mailed. What does the y-intercept of the function represent?

Accepted Answer

The cost to mail a box with no textbooks

Answer

The number of books mailed

Answer

The cost per book

Question 18

The function f(x) = 4(2.0)^x models the population of rabbits on a farm after x months with no removal. The function g(x) = 2(2.0)^x models the number of rabbits removed from the population after x months. Which function, h(x), models the total number of rabbits on the farm after x months?

Accepted Answer

h(x) = 2(2.0)^x

Answer

h(x) = 2(1.0)^x

Answer

h(x) = 6(2.0)^x

Question 19

The table below shows the cost of a season ticket to an amusement park for various years. Years Since 1990 (x) | Ticket Price (in dollars) (y) 9 | 25.00 14 | 45.25 16 | 54.75 20 | 71.75 What is represented by the y-intercept of the line of best fit for this data set?

Accepted Answer

The predicted price of a ticket in 1990

Answer

The predicted average change in ticket price per year

Answer

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

Question 20

The density of an object can be found using the formula D = m/V. - m is the mass of the object - V is the volume of the object Which formula could be used to determine the volume of an object?

Accepted Answer

V = m/D

Answer

V = mD

Answer

V = D/m

Question 21

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

50 movies per year

Answer

60 movies per year

Answer

300 movies per year

Question 22

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). x | h(x) 1 | 2 2 | -5 0 | -8 Which statement is true?

Accepted Answer

m > n

Answer

m < n

Answer

m = n

Question 23

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

Accepted Answer

A. (Graph A)

Answer

B. (Graph B)

Answer

C. (Graph C)

Answer

D. (Graph D)

Question 24

Which graph best represents 2x - y < 10?

Accepted Answer

C. (Graph C)

Answer

A. (Graph A)

Answer

B. (Graph B)

Answer

D. (Graph D)

Question 25

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

Accepted Answer

A. 4/3

Answer

B. 7/6

Answer

C. 11/6

Answer

D. 7/3

Question 26

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

Accepted Answer

-1/7

Answer

-3

Answer

1/3

Answer

7

Question 27

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 28

A long string with a balloon at the end was tied to the ground. After a breeze came up, the balloon was 55 feet to the right of where it was tied and 30 feet above the ground, as shown in the figure below. 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 29

A computer is purchased for $1,200 and depreciates at $140 per year. Which linear equation represents the value, V, of the computer at the end of t years?

Accepted Answer

V = 1,200 - 140t

Answer

V = 140t

Answer

V = 140t + 1,200

Answer

V = 140(1,200 - t)

Question 30

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 31

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(0.25x) + 4

Question 32

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

$51

Answer

$60

Answer

$55

Answer

$48

Question 33

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

Accepted Answer

3y = 2x + 9

Answer

2y = 6 - 3x

Answer

2y = 3x + 6

Answer

y = 3x - 9

Question 34

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 35

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 36

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

Accepted Answer

Graph D

Answer

Graph A

Answer

Graph B

Answer

Graph C

Question 37

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 38

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 + 43

Answer

s = 4w - 22

Answer

s = 4w + 22

Answer

s = 4w - 43

Question 39

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 40

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 decreases 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 41

Ryan is writing a composition for homework. He decides to keep track of the number of sentences he writes compared to the time in minutes he works. The graph below shows the data he collected. 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 42

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

Accepted Answer

y = 5x - 2

Answer

y = 1/5x - 2

Answer

y = 5x + 2

Answer

y = 1/5x + 2

Question 43

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

Accepted Answer

2/5

Answer

-2

Answer

5

Question 44

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 45

Alyssa is enrolled in a public-speaking class. Each week she is required to give a speech of greater length than the speech she gave the week before. The table below shows the lengths of several of her speeches. If this trend continues, in which week will she give a 12-minute speech?

Accepted Answer

12

Answer

22

Answer

15

Answer

24

Question 46

Dr. Chait is considering joining the Garden Club. If he pays a $25 membership fee, he can buy rosebushes from the club at a reduced price of $10 each. If he does not join the club, he can buy rosebushes from a local nursery for $15 each. How many rosebushes will Dr. Chait have to buy from the Garden Club before he would begin to save money?

Accepted Answer

5

Answer

7

Answer

25

Answer

50

Question 47

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 48

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?

Accepted Answer

$8367.70

Answer

$800

Answer

$6600

Answer

$25,707.36

Question 49

A new savings account is opened with $400 and gains 3% every yr. What's the amount after 5 years?

Accepted Answer

$463.71

Answer

$415

Answer

$343.49

Answer

$460.12

Question 50

The function $$y=45x+300$$ can be used to model the cost of buying new furniture and making monthly payments over the period of x months. Which of the following BEST describes the y-intercept of the graph?

Accepted Answer

the amount of the down payment

Answer

the monthly payment amount

Answer

the number of months to pay off the balance

Answer

the number of pieces of furniture bought

Question 51

In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle. Sanjna solved a total of 50 puzzles playing this game, earning 1,950 points in all. How many hard puzzles did Sanjna solve?

Accepted Answer

15

Answer

40

Answer

20

Answer

10

Question 52

James and Eduardo each improved their yards by planting rose bushes and daisies. They

bought their supplies from the same store. James spent $96 on 5 rose bushes and 12 daisies.

Eduardo spent $147 on 10 rose bushes and 9 daisies. Find the cost of one rose bush and the

cost of one daisy.

Accepted Answer

Rose Bush: $12 Daisies $3

Answer

Rose Bush: $3 Daisies $10

Answer

Rose Bush: $6 Daisies $8

Answer

Rose Bush: $6 Daisies $12

Question 53

y=ax²+bx+c

Accepted Answer

Quadratic Function

Answer

Linear Function

Answer

Exponential Function

Question 54

Which statement about $$k\left(x\right)=-x^2-2x+15$$ is true?

Accepted Answer

The zeros are $$-5$$ and $$3$$ , because $$k\left(x\right)=-\left(x+5\right)\left(x-3\right)$$

Answer

The zeros are $$-3$$ and $$5$$ , because $$k\left(x\right)=-\left(x+3\right)\left(x-5\right)$$

Answer

The zeros are $$null$$ and $$-3$$ , because $$k\left(x\right)=-\left(x+5\right)\left(x+3\right)$$

Answer

The zeros are $$3$$ and $$5$$ , because $$k\left(x\right)=-\left(x-3\right)\left(x-5\right)$$

Question 55

The pathway of an arrow can be represented by the equation h = -16t² + 80t + 25, where h is the height in feet and t is the time in seconds. What is the maximum height?

Accepted Answer

h = 125 feet

Answer

h = 80 feet

Answer

h = 95 feet

Answer

h = 140 feet

Question 56

The function h(t) = -4t² + 10t + 81 represents the path of a ball being kicked off the side of a cliff. If t represents the time in seconds and h represents the height in feet,

What is the initial starting height of the ball?

Accepted Answer

81 ft

Answer

87.25 ft

Answer

1.25 ft

Answer

5.92 ft

Question 57

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

Accepted Answer

-1/2

Answer

-2

Answer

1/2

Answer

2

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics