Free Printable Level 1: Linear Equations Set

1.

An equation is...

a)

a statement in algebra that says that two expressions are equivalent

b)

a statement in algebra that says that two or more expressions are equivalent

c)

a statement in algebra that says that two expressions are similar

d)

a statement in pre-calculus that says that two expressions are equivalent

2.

A linear equation is...

a)

an equation in which the highest power on any variable is 1

b)

an equation in which the highest power on any variable is 2

c)

an equation in which the highest power on all variables is 2

d)

an equation in which the lowest power on any variable is 1

3.

To isolate a variable in a linear equation, you...

a)

use inverse operations to "undo" whatever is being done to the variable, remembering to do the same thing to both sides to keep them equal

b)

use inverse operations to "undo" whatever is being done to the variable, remembering to do the same thing to both sides to keep them different

c)

use similar operations to "undo" whatever is being done to the variable, remembering to do the same thing to both sides to keep them equal

d)

use inverse operations to "undo" whatever is being done to the number, remembering to do the same thing to both sides to keep them equal

4.

How would you solve the following ?

$\frac{x}{8}=5$

a)

Multiply both sides by 8

b)

Multiply both sides by 5

c)

Divide both sides by 8

d)

Multiply both sides by x

5.

Identify the proper order for solving linear equations:

a)

1) Eliminate any fractions

2) Collect and combine like terms

3) Divide to leave the desired variable by itself

b)

3) Eliminate any fractions

2) Collect and combine like terms

1) Divide to leave the desired variable by itself

c)

2) Eliminate any fractions

1) Collect and combine like terms

3) Divide to leave the desired variable by itself

d)

1) Eliminate any fractions

3) Collect and combine like terms

2) Divide to leave the desired variable by itself

6.

What's the first step in isolating "x" given the desire to eliminate any fractions?

$\frac{1}{3}\left(x+11\right)=\frac{1}{2}\left(4x-6\right)$

a)

Multiply both sides by 6

b)

Divide both sides by one-third

c)

Divide both sides by one-half

d)

Divide both sides by (x+11)

e)

Divide both sides by (4x-6)

7.

Solve

$\frac{1}{3}\left(x+11\right)=\frac{1}{2}\left(4x-6\right)$

a)

10

b)

2

c)

6

d)

8

e)

4

8.

Which represents a linear equation in slope-intercept form?

a)

$y=mx+b$

b)

$\frac{y_2-y_1}{x_2-x_1}$

c)

$y_2-y_1=m\left(x_2-x_1\right)$

d)

$y=bx+m$

9.

Which does "m" represent in slope-intercept form?

$y=mx+b$

a)

The slope of the line

b)

The y-intercept of the line

c)

The x-intercept of the line

d)

The x-value of the y-intercept

10.

Which could "m" represent in slope-intercept form in a real-world scenario?

$y=mx+b$

a)

Miles per hour

b)

Money put into a bank account

c)

Words typed per minute

d)

Wins per season

e)

Salary earned in year one

11.

Which could "b" represent in slope-intercept form in a real-world scenario?

$y=mx+b$

a)

Miles per hour

b)

Money put into a bank account

c)

Words typed per minute

d)

Wins per season

e)

Salary earned in year one

12.

The rate of change (slope) for a linear relationship is constant (does not vary)

$y=mx+b$

a)

True

b)

False

13.

What's the slope formula?

a)

$m=\frac{x_2-x_1}{y_2-y_1}$

b)

$m=\frac{y_1-y_2}{x_1-x_2}$

c)

$m=\frac{y_2-y_1}{x_2-x_1}$

d)

$m=\frac{x_1-x_2}{y_1-y_2}$

14.

Which describes a "positive slope"?

a)

Goes up from left to right

b)

Goes down from left to right

c)

Goes up from right to left

d)

Goes down from right to left

15.

Which describes a "negative slope"?

a)

Goes up from left to right

b)

Goes down from left to right

c)

Goes up from right to left

d)

Goes down from right to left

16.

A line with a slope of zero...

a)

Goes up from left to right

b)

Goes down from left to right

c)

Goes up from right to left

d)

Goes down from right to left

e)

Is horizontal

17.

The slope of a vertical line...

a)

Goes up from left to right

b)

Is undefined

c)

Goes up from right to left

d)

Goes down from right to left

e)

Is horizontal

18.

The slope of parallel lines...

a)

go up from left to right

b)

are undefined

c)

are the same

d)

go down from right to left

e)

are horizontal

19.

The slope of perpendicular lines...

a)

have positive reciprocal slopes

b)

are undefined

c)

are the same

d)

have negative reciprocal slopes

e)

are horizontal

20.

Which are true about linear equations in standard form?

a)

Two variables

b)

Three constants

c)

Two of the constants may equal zero

d)

Two of the constants may not equal zero

e)

All constants must be integers

21.

SE.1

Kindly solve for x and enter the numerical value only:

$2x+3=7+x$

(a)

22.

SE.2

Kindly solve for x and enter the numerical value only:

$-2x+4=5x-10$

(a)

23.

SE.3

Kindly solve for x and enter the numerical value only:

$\left(4x+5\right)-\left(-2x+11\right)=x+4$

(a)

24.

SE.4

Kindly solve for x and enter the numerical value only:

$\frac{1}{2}x+1=3x-4$

(a)

25.

SE.5

Kindly solve for x and enter the numerical value only:

(a)

26.

SE.6

Kindly solve for x and enter the numerical value only:

(a)

27.

SE.7

Kindly solve for x and enter the numerical value only:

(a)

28.

SE.8

Kindly solve for x and enter the numerical value only:

(Simplify fractions as much as possible, enter your response using simplified fractions, and list your termed-variables in alphabetical order)

(a)

29.

SE.9

Kindly solve for x and enter the numerical value only:

a)

$x=\frac{7-4y}{y-2}$

b)

$x=\frac{7+4y}{y-2}$

c)

$x=\frac{y-2}{7+4y}$

d)

$x=\frac{4y-7}{y-2}$

30.

SE.10

Kindly solve for x and enter the numerical value only:

(a)

31.

TD.1

Translate from English to math as an equation:

"The number of subscribers is 4 less than 3 times the number of followers"

a)

S=3F-4

b)

F=3S-4

c)

S=3F+4

d)

S=-4-3F

32.

TD.2

Translate from English to math as an equation:

"After a 15 percent decrease in the original purchase price, a certain stock is worth $92 per share"

a)

$92=.85P

b)

$92=P-.15

c)

$92=.85/P

d)

$92=.15P

33.

TD.3

Translate from English to math as an equation:

"Average speed in "miles per hour" if the total distance traveled in two and one-half hours is D miles."

a)

$A.S.\ =\ \frac{D}{2.5}$

b)

$D\ =\ \frac{A.S.}{2.5}$

c)

$A.S.\ =\ \frac{2.5}{D}$

d)

$A.S.\ =\ 2.5D$

34.

TD.4

Translate from English to math as an equation:

"The product of x and y is equivalent to their sum increased by 5."

a)

$xy=\left(x+y\right)+5$

b)

$\frac{x}{y}=\left(x+y\right)+5$

c)

$xy=\left(x+y\right)-5$

d)

$xy=x+y+5$

35.

TD.5

Translate from English to math as an equation:

"Jose's age in 5 years will be 1 year more than double what Beatrice's age was 2 years ago."

a)

J+5=1+2(B-2)

b)

J+5=(1+2B)+2

c)

J+5=(1+2B)-2

d)

J+5=1+(2B-2)

36.

TD.6

Translate from English to math as an equation:

"If 2 more blue chips are added to a pile, the ratio of blue to red chips will be 3:1"

a)

$\frac{3}{1}=\frac{2B+R}{R}$

b)

$\frac{3}{1}=\frac{2+B}{R}$

c)

$\frac{3}{1}=\frac{2B+B}{R}$

d)

$3=\frac{2B+R}{R}$

e)

$\frac{3}{1}=\frac{2B+R}{B}$

37.

TD.7

Translate from English to math as an equation:

"The total of the ages of Rachel's siblings if she has one sibling that is 3 years younger and three siblings that are 2, 4, and 5 years older."

a)

Total Ages =

(R-3)+(R+2)+(R+4)+(R+5)

b)

Total Ages =

(R+3)+(R+2)+(R+4)+(R+5)

c)

Total Ages =

(R-3)-(R+2)+(R+4)+(R+5)

d)

Total Ages =

(R+3)+(R-2)+(R-4)+(R-5)

38.

TD.8

Translate from English to math as an equation:

"If the number of dimes in a piggy bank is decreased by 2, then 3 out of every 5 coins in the piggy bank will be dimes."

a)

$\frac{3}{5}=\frac{D-2}{C}$

b)

$\frac{3}{5}C=D-2$

c)

$\frac{3}{5}=\frac{C-2}{D}$

d)

$\frac{3}{5}D=C-2$

e)

$\frac{3}{5}=\frac{D+2}{C}$

39.

TD.9

Translate from English to math as an equation:

"The product of x decreased by y and one-third the sum of x and half of y."

a)

$\left(x-y\right)\ \left(\frac{1}{3}\left(x+\frac{1}{2}y\right)\right)$

b)

$x-\left(y\left(\frac{1}{3}\left(x+\frac{1}{2}y\right)\right)\right)$

c)

$\left(x-y\right)\ \left(\frac{1}{3}x+\frac{1}{2}y\right)$

d)

$\left(x-y\right)\ \left(\frac{1}{3}\left(\frac{1}{2}x+\frac{1}{2}y\right)\right)$

40.

TD.10

Translate from English to math as an equation:

"If the value of Martine's assets increased by $10,000, then the combined assets of Martine and Angela would be twice what Martine's assets would be if they were increased by half."

a)

(M+10,000)+A=2(1.5M)

b)

(M+10,000)+A=2(M+.5M)

c)

(M+10,000)=2(M+.5M+A)

d)

(M+10,000)+A=2(1.5M)+A

e)

(M+10,000)=2(M+.5M)

41.

SI.1

Write the equation for the line that passes through each set of points without spaces and beginning with "y="

(a)

42.

SI.2

Write the equation for the line that passes through each set of points without spaces and beginning with "y="

(a)

43.

SI.3

Write the equation for the line that passes through each set of points without spaces and beginning with "y="

(a)

44.

SI.4

Write the equation for the line that passes through each set of points without spaces and beginning with "y="

a)

$y=\frac{1}{13}x-3\frac{8}{13}$

b)

$y=\frac{1}{13}x+3\frac{8}{13}$

c)

$y=\frac{1}{12}x-3\frac{7}{12}$

d)

$y=\frac{1}{12}x+3\frac{7}{12}$

45.

SI.5

Write the equation for the line that passes through each set of points without spaces and beginning with "y="

If fractions persist, rewrite them in decimal form

(a)

46.

Kai is playing video games at the mall arcade.

The amount of money Kai has remaining

can be found using the equation

y = 20 − 0.50x, where x is the number of

games Kai has played. How many games

can Kai play if he spends all his money?

(a)

47.

If Dexter pays $8.90 for his hamburger, how many toppings did he get?

a)

3

b)

4

c)

5

d)

6

48.

Which of the following situations is best represented by the equation y = x + 15?

a)

Each student begins the candy hunt with 15 pieces of candy in their bag.

b)

Emery earns $15 per hour babysitting

c)

Joshua spent $15 of his money at the movie theater.

d)

Each homeroom class has at least 15 students

49.

Two students write the equations below:

Sarah: y = 3x

Camille: y = x + 3

Mrs. Jeffery states that in Sarah’s equation, y is three times as much as x, and in Camille’s equation, y is _____________.

a)

3 less than x

b)

3 more than x

c)

3 times as much as x

d)

the same as the value of x

50.

Which statement describes the relationship between x and y in these two equations?
y = 2x
y = x + 2

a)

In y = 2x the value of y is 2 more than the value of x, and in y = x + 2 the value of y is twice the value of x.

b)

In y = 2x and in y = x + 2, the value of y is 2 more than the value of x.

c)

In y = 2x and in y = x + 2, the value of y is twice the value of x.

d)

In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is 2 more than the value of x.

51.

A factory is able to make 14 toys every hour. The equation they use to find out how many toys they can make over time is y = 14x. Which coordinate point below could be a part of this pattern?

a)

(0, 14)

b)

(3, 42)

c)

(14, 1)

d)

(42, 3)

52.

A copier machine can produce 500 copies per minute. This can be modeled by C(m) = 500m. The copier can only run for 4 hours (240 mins) before needing a break.

What does the DOMAIN represent?

a)

Copies made

b)

minutes on

c)

500

d)

4 hours

53.

A copier machine can produce 500 copies per minute. This can be modeled by C(m) = 500m. The copier can only run for 4 hours (240 mins) before needing a break.

What is the smallest/largest the Domain can be?

a)

$0\le x\le240$

b)

$0\le x\le500$

c)

$4\le x\le500$

d)

$240\le x\le500$

54.

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y=15x

b)

y=15x+80

c)

y=x+15

d)

y=80x+15

55.

Starting at sunrise, the temperature rose 2.5⁰ every hour. After 8 hours, the temperature was 67⁰. Write an equation in point-slope form to model the temperature, y, after x hours after sunrise. If sunrise was at 6:00 AM, what is the temperature at noon?

a)

y+67=2.5(x+8) ; the temperature was 62⁰ at noon

b)

y−67=2.5(x−8); the temperature was 62⁰ at noon

c)

y−67=2.5(x−8); the temperature was 77⁰ at noon

d)

y−8=2.5(x−67); the temperature was 77⁰ at noon

56.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

57.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

58.

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table?

a)

b)

c)

d)

59.

The equation is solved for y.

y = ¹/₂x - 5

Which is the graph of this equation?

a)

b)

c)

d)

60.

If m = 1/2 and b = -4, what is the correct slope-intercept equation?

a)

y=1/2x+4

b)

y=1/2x-4

c)

y=1/2-4

d)

y=4x+1/2

61.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

62.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y+ 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

63.

a)

y= 3/4 x + 3

b)

y= 1/2 x +3

c)

y= 2x+3

d)

y=2x-7

64.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

65.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

66.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

67.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

68.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

69.

y = 5/7x +2
y = 5/7x - 30
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

70.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

71.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

72.

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

73.

What is the slope of a line perpendicular to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

74.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

75.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

76.

What is the slope of the table?

a)

-4

b)

1

c)

4

d)

-2

77.

Which equation matches the graph?

a)

y = 5

b)

y = -5

c)

x = -5

d)

x = 5

78.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

79.

Name the x- and y-intercepts for the equation:
5x - 3y = 15

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

80.

Which situation can be represented by

y = 12x + 4 ?

a)

The number of people, y, arriving at party, if there are 12 cars with 4 people in each car

b)

The cost, y, of buying x movie tickets that sell for $12 each, plus $4 for popcorn

c)

The cost, y, of buying 12 candy bars that sell for $ 4 each.

d)

The number of cookies, y, if there are 12 cookies per box and you ate 4

81.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

y = 2.75x + 4.25

What does 2.75 represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

82.

Which situation below is representative of y-intercept?

a)

putting $300 a month into savings

b)

buying $30 worth of supplies for a lemonade stand

c)

Spending $3 per ride at the fair

d)

Paying $2 for parking every day

83.

The equation y = 2.50x + 225 represents the purchase of posters for a fundraiser where x represents the number of posters ordered and y represents the total cost. If Nick wanted to order 400 posters, what would be the total cost?

a)

$625.00

b)

$750.00

c)

$1000.00

d)

$1225.00

84.

The equation y = 120x + 250 represents the cost for renting an event hall where x represents the number of hours a customer rents the hall and y represents the total cost. If Alan paid $790.00, how many hours did he rent the hall?

a)

4 hours

b)

4.5 hours

c)

5 hours

d)

5.5 hours

85.

The equation y = 120x + 250 represents the cost for renting an event hall where x represents the number of hours a customer rents the hall and y represents the total cost. If Alan wants to rent the hall for 3 hours, what will be his final cost?

a)

$610.00

b)

$870.00

c)

$1,110.00

d)

$360.00

86.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

87.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. What is the y-intercept for this situation?

a)

(0,15)

b)

(0,2)

c)

(0,17)

d)

(0,13)

88.

In order to join an online course, there is a $20 startup fee and a $5 monthly fee. What is the rate of change(slope) for this situation.

a)

$20

b)

$5

c)

$25

d)

$15

89.

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. What does the slope mean in this situation?

a)

Every t-shirt costs $8

b)

Every t-shirt costs $25

c)

The initial fee is $25

d)

The initial fee is $8

90.

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

a)

y= 40

b)

y= 400

c)

y= 415

d)

y= 65

e)

y= 390

91.

The rental rate at Rent A Wreck is $30 per day plus $0.25 per mile driven.

How much would a 100 mile rental cost?

a)

$45

b)

$55

c)

$23

d)

$100

92.

Who is growing faster?

a)

Mochi, because he is gaining 2 lbs/month

b)

Mochi, because he is gaining 4 lbs/month

c)

Kappa, because he is gaining 3.5 lbs/month

d)

Kappa, because he is gaining 5 lbs/month

93.

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

Which equation matches the situation?

a)

2x + 4y = 100

b)

100 + 2y = 4y

c)

x + y = 100

d)

y = 2x + 100

94.

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?

a)

24

b)

2

c)

5

d)

0

95.

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

If you sold 60 cups of lemonade, how many cups of orange drink did you sell?

a)

60

b)

40

c)

10

d)

120

96.

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

a)

40x + 20 = 340

b)

20x + 40 = 340

c)

20x - 40 = 340

d)

20 + 340 = 40x

97.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

a)

$100

b)

4.50

c)

$112.50

d)

$65.00

e)

$123.45

98.

The rental rate at Rent A Wreck is $30 per day plus $0.25 per mile driven.

How much would a 100 mile rental cost?

a)

$45

b)

$55

c)

$23

d)

$100

99.

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

a)

The additional fee of $8.

b)

The initial fee of $25.

c)

The additional fee of $25.

d)

The initial fee of $8.

100.

Your four-month bill for the gym comes to $221. That includes the cost per month of $50 plus the one-time membership fee. How much is the membership fee?

a)

$21

b)

$171

c)

$4.42

d)

$15.50

101.

What is the slope?

a)

Positive

b)

Negative
Negative

c)

Zero

d)

Undefined

102.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

No Slope

103.

What is another name for slope?

a)

initial value

b)

linear

c)

rate of change

d)

graph

104.

Which is not one of the four types of slopes?

a)

positive

b)

equal

c)

negative

d)

zero

e)

undefined

105.

Slope can be found from a graph using...

a)

run / rise

b)

rise / run

c)

rise / fall

d)

fall / rise

106.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

107.

Find the slope of the line.

a)

Undefined

b)

0

c)

1/1

d)

-1/1

108.

What would the graph of the equation x = -4 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

109.

What would the graph of y = 8 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

110.

Which type of line runs parallel to the y-axis?

a)

Horizontal line

b)

Vertical line

c)

Both

d)

Neither

111.

The graph of x = 4 would be parallel to what?

a)

The x-axis

b)

The y-axis

c)

Both axes

d)

Neither axis

112.

What is the equation of the line in the graph?

a)

x = −1

b)

y = 1

c)

x = 1

d)

y = -1

113.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

114.

What is the equation of the graphed line?

a)

y = 3

b)

y = 3x

c)

x = 3

d)

x = 3y

115.

Which is the correct graph for x = −4?

a)

A

b)

B

c)

C

d)

D

116.

Find the slope when given the following points.
(2, 5) (-3, 5)

a)

-2

b)

0

c)

Undefined

d)

4/3

117.

What's the slope of the line that passes through (2, -1) and (2, -5)

a)

1/2

b)

Zero

c)

3

d)

Undefined

118.

Write the equation that represents this word problem:

Marsha gets a job that pays $15 per hour, and she started the week with $20

a)

y= 15x + 20

b)

y= 20x + 15

c)

y= 15 + 20

d)

y= 20 + 15

e)

Answer Not Here

119.

Write the equation that represents this word problem:

Nora owes her parents $400 for a computer, so she babysits for $10 per hour.

a)

y= 10x + 400

b)

y= -10x - 400

c)

y=10x - 400

d)

y= -10x + 400

e)

Answer Not Here

120.

Which of the following situations could be descried by the equation y=120-25x?

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

121.

The equation below represents an elevator's height after an amount of seconds. Using this equation, what should the height of the elevator be after 14 seconds?
h(s) = -3.8s + 290

a)

80

b)

236.8

c)

-80

d)

72.6

122.

The amount of water in the bucket ( in pints) can be modeled by the equation V(n) = 2n + 7 where n is the number of pitchers used to put water in the bucket. If the bucket contains 29 pints of water, how many pitchers of water were used to fill it?

a)

11

b)

65

c)

9

d)

18

123.

The commission of a sales representative can be modeled by C(x) = 4n - 10, where n is the number of items sold. If the sales representative sales 30 items, how much commission will they earn?

a)

$20

b)

$120

c)

$5

d)

$110

124.

R(n)=125 + 80n models the amount of money R(n) in the register after selling n tickets. How many tickets must be sold to have $18,445 in the register?

a)

233

b)

92

c)

229

d)

119

125.

Each day, a local dog shelter spends an average of $2.40 on food per dog. The manager estimates the shelter’s daily expenses, assuming there is at least one dog in the shelter, using the function E(x) = 30 + 2.40x

Which statements regarding the function E(x) are correct?

I. x represents the number of dogs at the shelter per day.

II. x represents the number of volunteers at the shelter per day.

III. 30 represents the shelter’s total expenses per day.

IV. 30 represents the shelter’s nonfood expenses per day

a)

I and III

b)

I and IV

c)

II and III

d)

II and IV

126.

The function f(x)=2x+8 models the total cost to order x amount of light bulbs from an online company. What is the appropriate domain of the function?

a)

All non-negative integers

b)

All non-negative rational numbers

c)

All integers

d)

All rational numbers

127.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

a)

200

b)

150

c)

300

d)

75

128.

A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation D=280-59t can be used to represent the distance, D, from Buffalo after t hours. In this equation, the 59 represents the...

a)

car's distance from Albany

b)

speed of the car

c)

distance between Buffalo and Albany

d)

number of hours driving

129.

The cost of airing a commercial on television is modeled by the function C(n)=110n+900, where n is the number of times the commercial is aired. Based on this model, which statement is true?

a)

The commercial costs $0 to produce and $110 per airing up to $900.

b)

The commercial costs $110 to produce and $900 each time it is aired.

c)

The commercial costs $900 to produce and $110 each time it is aired.

d)

The commercial costs $1010 to produce and can air an unlimited number of times.

130.

The owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function P(x)=8600-22x. In this function, x represents the number of...

a)

computers repaired per week

b)

hours worked per week

c)

customers served per week

d)

days worked per week

131.

Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?

a)

integers

b)

whole numbers

c)

irrational numbers

d)

rational numbers

132.

LE.132

A grocery store sells packages of beef. The function C(w) represents the cost, in dollars, of a package of beef weighing w pounds. The most appropriate domain for this function would be...

a)

integers

b)

rational numbers

c)

positive integers

d)

positive rational numbers

Level 1: Linear Equations Set

Total questions: 132

Worksheet time: 6hrs 48mins

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