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Linear Functions Unit Review

Total questions: 123

Worksheet time: 10hrs 34mins

Name
Class
Date
1.
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
2.
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
3.
Given the equation y = 2x + 5 , where x is the number of homework questions and y is the number of minutes it takes to do all the homework, what does the y-intercept of the line mean in real world context.
a)
For every homework assignment, it takes 5 more minutes to complete.
b)
For every homework assignment, it takes 2 more minutes to complete.
c)
It initially takes 5 minutes to get homework out and start working.
d)
It initially takes 2 minutes to get homework out and start working.
4.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
5.
Who drove faster?
Dan drives 60 miles in 5 hours.
David drives 75 miles in 6 hours.
a)
Dan
b)
David
6.
John is trying to save money this year. When he opened his account he had a balance of $300. By the end of the 12 month time span, John had $1500 in his savings account.  Find the rate of change.  Write an equation in slope-intercept form to model this situation.
a)
y = 100x - 300
b)
y = 100x + 300
c)
y = 1/10x + 300
d)
y = 1/10x - 300
7.
Johnny has to pay $15 for a large pizza and 1.50 for each topping.  What is the meaning of the y-intercept?
a)
It cost 1.50 per topping
b)
It cost 1.50 for unlimited toppings
c)
It cost $15 for a large pizza
d)
It cost $15 for a large pizza with no toppings
8.
Which line has the greatest average rate of change on the graph? Why?
a)
Blue, it's average rate of change is $120 per month
b)
Red, it's average rate of change is $40 per month
c)
Blue, it's average rate of change is $160 per month
d)
Red, it's average rate of change is $80 per month
9.
a)
Function
b)
Not a Function
10.
a)
Function
b)
Not a Function
11.
a)

6

b)

-6

c)

14

d)

-14

12.
a)

1

b)

-1

c)

19

d)

-19

13.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
14.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
15.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
16.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
17.

.Use the graph to determine the equation of the line in slope-intercept form.

a)

y = 3x + 3

b)

y = 1/3x + 3

c)

y = -1/3x +3

d)

y = - 3x + 3

18.

What is the y-intercept of this line?

a)

-3

b)

-2

c)

0

19.

What is the equation of the function with the least expensive hourly rate?

a)

y = 2.25x

b)

y = 6x

c)

y = 2.25x + 12.75

d)

y = 6x + 1

20.

Write the equation in slope-intercept form to represent the line that is graphed.

a)

y = 1/2x + 1

b)

y = -2x -2

c)

y = 2x +2

d)

y = 2x - 2

21.

Write the equation of a line with m = 3 that passes through (2, -1)

a)

y = 3x + 1

b)

y = 3x - 7

c)

y = -3x + 5

22.

What is the slope of the line that contains these two points? (1, 6) and (3, -4)?

a)

-5

b)

-1/5

c)

-1

d)

5

23.

One point on a line is ( 2, -2). The slope of the line is 4. Which of the following points could be another point on the same line?


a) (4, –10) b) (4, 6) c) (–4, 6) d) (–4,10)

a)

a

b)

b

c)

c

d)

d

24.

What is the slope of the line graphed below?

a)

-2

b)

Zero

c)

Undefined

25.

11. Which equation has a y-intercept of -3?

a)

6x + 3y =9

b)

3y = - 6x + 9

c)

-3y = 6x + 9

d)

2y = 3x + 6

26.
a)

a

b)

b

c)

c

d)

d

27.

Write the function -2x + 4y =12

in slope-intercept form.

a)

4y =-2x + 12

b)

y = 1/2x + 3

c)

y = 2x + 3

d)

y = -1/2x - 3

28.

11. Each month, Danielle pays $8.00 for her cell phone plan and an additional $0.10 for each text message she sends. Write the equation in slope-intercept form to represent the numbers of dollars spent y, Dependent upon the numbers of text sent x.. Determine how many texts did Danielle sent in a month if her total monthly cell phone bill was $52.00.

a)

4.4

b)

44

c)

440

d)

4400

29.

Ben and Julia rented a truck from the same company to move to college. Ben drove 150 miles and paid $64.95 while Julia drove 84 miles and paid $45.15. How many miles could you drive the truck if you did not want to spend more than $105? Round to the nearest mile.

a)

195 miles

b)

252 miles

c)

284 miles

d)

350 miles

30.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

31.

Is the graph below a function? Why or why not?

a)

It is a function, because no vertical lines hit it twice.

b)

It's not a function, because a vertical line hits it twice.

c)

It's not a function, because no vertical lines hit it twice.

d)

It is a function, because a vertical line hits it twice.

32.

Is the graph a function? Why or why not?

a)

It is a function, because no vertical lines hit it twice.

b)

It's not a function, because a vertical line hits it twice.

c)

It's not a function, because no vertical lines hit it twice.

d)

It is a function, because a vertical line hits it twice.

33.

Is this a function? Why or why not?

a)

It is a function, because each x has only one y.

b)

It's not a function, because an x has multiple y's.

c)

It's not a function, because a y has multiple x's.

d)

It is a function, because each y has only one x.

34.

Find the slope:

a)

m= 4

b)

m=1/4

c)

m=-4

d)

m=-1/4

35.

Who saves more per day: Adam or Bianca?

a)

They save the same amount.

b)

Adam

c)

Bianca

36.

Which panda is growing faster?

a)

Mochi

b)

Kappa

c)

Po the dragon warrior

d)

Jack Black

37.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
38.

which of the following is a linear graph?

a)
b)
c)
d)
39.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes.

b)

The sloth runs 3 feet in 1 minute.

c)

The sloth runs fast.

d)

The sloth runs 6 feet in 1 minute.

40.
Using the graph, find the average rate of change at which this person was traveling. 
a)
80 miles per hour
b)
40 miles per hour
c)
20 miles per hour
d)
160 miles per hour
41.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
42.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
43.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
44.

What is the equation of this line?

a)

m = 0

b)

m = undefined

c)

y = 5

d)

x = 5

45.

What is the equation of this line?

a)

m = 0

b)

m = undefined

c)

x = 3

d)

y = 3

46.

Write down the coordinate of the y-intercept of the blue graph

a)

(0, 1)

b)

(1, 0)

c)

(0, -1)

d)

(-1, 0)

47.

What is the x-value for any point on the Y-axis?

a)

1

b)

2

c)

0

d)

any value

48.

The location where the line crosses the y-axis is called the...

a)

slant

b)

slope

c)

y-intercept

d)

x-intercept

49.

The change in rise over run in a graph is called the...

a)

slant

b)

slope

c)

y-intercept

d)

x-intercept

50.

The axis that runs horizontally on a coordinate plane is called the...

a)

x-axis

b)

y-axis

c)

flat line

d)

straight line

51.

The axis that runs vertically on a coordinate plane is called the...

a)

x-axis

b)

y-axis

c)

flat line

d)

straight line

52.

Vertical lines have

a)

Negative slopes

b)

Zero slopes

c)

Positive Slopes

d)

Undefined Slopes

53.

Horizontal lines have

a)

Undefined slopes

b)

Zero slopes

c)

Negative slopes

d)

Positive Slopes

54.

What is the slope of the line 3y = 12x + 15

a)

27

b)

12

c)

4

d)

15

55.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

56.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
57.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

58.

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

a)

y-8=5(x-3)

b)

y=5x+8

c)

y-3=5(x-8)

d)

y-y1= m(x-x1)

59.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

60.
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)
61.
Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
a)
y - 5 = -3(x - 10)
b)
y= -3x + 35
c)
y + 5= -3(x + 10)
d)
y= -3x - 35
62.
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
63.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

64.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
65.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
66.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
67.

Given y + 6 = 10( x - 9) , what is the point used to write this equation?

a)

(10, 9)

b)

(6, -9)

c)

(-6, 9)

d)

(9, -6)

68.

Identify the slope and the coordinate the following equation passes through: y+8=2(x-1)

a)

m:2 (1,-8)

b)

m:-2 (1,-8)

c)

m: 2 (-1,8)

d)

m: -2 (-1,8)

69.
What is the formula for standard form?
a)
y=mx+b
b)
y-y1=m(x-x1)
c)
Ax+By=C
d)
rise÷run
70.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)
-7x + 2y = 9
d)
3x + 2 = y
71.

Which equation in standard form represents this graph?

a)

-3x +2y = -6

b)

3x + 2y = 6

c)

-3x - 2y= 12

d)

-3x + 2y = -12

72.

Write the standard form equation that passes through (0, -1) and (-6, -9)

a)

-4x +3y = -4

b)

-4x +3y = -3

c)

-4x +3y = 5

d)

-4x +3y = 10

73.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
74.
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)
75.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
76.
A man is climbing down from 100 feet high descending 30 feet per minute.
a)
y = 100 - 30x
b)
y = 100 + 30x
c)
y = 100x + 30
d)
y = 100x - 30
77.
Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  
a)
20x + 15 = y 
b)
35x = y 
c)
15x + 20y = 150 
d)
150 - 20x = 15y 
78.
Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. She only wants to spend $50. 
a)
Slope-intercept
b)
Standard form
79.
Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20. 
a)
y=2.50x+4
b)
2.50x+4y=20
c)
y=4x+2.5
80.
Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
Luke wants to make 80 dollars doing yardwork. He earns $10 per lawn he mows and $20 per garden he weeds. 
a)
Standard Form
b)
Slope-Intercept
81.

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

a)

4x + 3y = 8.10

b)

4x + 5y = 10.80

c)

4x - 5y = 10.80

d)

4x + 10.80y = 5

82.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
83.

Write the equation below in standard form

y = 2/3 x + 5.

a)

-2/3x+y=5

b)

2x - 3y= -15

c)

-6/3x + 3y= 15

d)

-2x+y=15

84.

You are buying the hamburgers and chicken for a party. The hamburgers cost $2.75 per pound and the chicken is $3.50 per pound. If you have $75 to spend, write and solve a linear equation to find how many pounds of chicken you can afford if you buy 12 pounds of hamburger.

Choose the best answer below.

a)

Slope intercept

b)

Standard form

c)

Point slope form (slope and a point)

d)

Two Points

85.

Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he rented the same boat for five hours and it cost him $190 more than it did the day before. If he rented the same boat on Monday for just two hours, find the the total cost to rent the boat for the three days.

Choose the best answer below.

a)

slope intercept form

b)

standard form

c)

point slope form (slope and a point)

d)

two points

86.

An airplane at 30,100 feet above the ground begins descending at the rate of 2,150 feet per minute. Write and solve a linear equation to find how many minutes it will take the plane to reach the ground.

Choose the best answer below.

a)

slope intercept form

b)

standard form

c)

point slope form (slope and a point)

d)

two points

87.

A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlestick is 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.

Choose the best answer below.

a)

slope intercept form

b)

standard form

c)

point slope form (slope and a point)

d)

two points

88.

A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. Write and solve a linear equation to find the number of days their food will last.

Choose the best answer below.

a)

slope intercept form

b)

standard form

c)

point slope form (slope and a point)

d)

two points

89.

A tire dealer sells all-season tires for $68 each and all-terrain tires for $125 each. In one day, the sales both tires totaled $3,926. If 14 all-terrain tires were sold, write and solve a linear equation to find the number of all-season tires sold.

Choose the best answer below.

a)

slope intercept form

b)

standard form

c)

point slope form (slope and a point)

d)

two points

90.

An international calling plan charges a rate per minute plus a flat fee. A 10-minute call to France costs $3.19. A 15-minute call to France costs $4.29. Write and solve a linear equation to find the cost of a 12-minute call to France.

Choose the best answer below.

a)

slope intercept form

b)

standard form

c)

point slope form (slope and a point)

d)

two points

91.

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $174.45. The cost for 8 tickets is $271.95. Write and solve a linear equation to find the total cost to order 12 tickets.

Choose the best answer below.

a)

slope intercept form

b)

standard form

c)

point slope form (slope and a point)

d)

two points

92.

To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Scott had paid $2,694. Write and solve an equation to find the total amount he will have paid after 3 years.

Choose the best answer below.

a)

slope intercept form

b)

standard form

c)

point slope form (slope and a point)

d)

two points

93.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
94.
Consider the function y < 2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
The line would be dashed with shading below.
95.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
96.
Which of the following equations match the given graph?
a)
y ≤ -5/4 x + 3
b)
y ≥ -5/4 x + 3
c)
y < -5/4 x + 3
d)
y > -5/4 x + 3
97.
Which of the following equations match the given graph?
a)
y ≥ (2/5)x + 1
b)
y ≥ (-2/5)x + 1
c)
y ≤  (2/5)x + 1
d)
y ≥ (-2/5)x - 1
98.
Shade above or below?
y ≥
a)
Above
b)
Below
99.
Solid or dashed line?  
Y ≥
a)
Solid
b)
Dashed
100.
Solid or dashed line?  
Y <
a)
Solid
b)
Dashed
101.
What is the equation of the graph?
a)
y = 5
b)
y = 1x + 5
c)
x = 5
d)
x = 1x + 5
102.
Do I need to flip my sign?
2x -3y  ≥ 12
a)
Yes
b)
No
103.
Select the graph for y ≥ -3.
a)
A
b)
B
c)
C
d)
D
104.

What is the equation of the line graphed below?

a)

y = -2

b)

Zero

c)

x = -2

d)

y = 0

105.



(a)  

106.
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
107.
Andrea earns a flat fee of $20 per day plus an additional x dollars for each sale she makes.  Andrea made 10 sales last Saturday and earned a total of $80.  How much does Andrea earn for each sale she makes?
a)
$6
b)
$8
c)
$10
d)
$12
108.
Is this graph Discrete or Continuous?
a)
Discrete
b)
Continuous
109.
Is this graph Discrete or Continuous?
a)
Discrete
b)
Continuous
110.
Is this graph discrete or continuous?
a)
Discrete
b)
Continuous
111.

1) A caterer charges $100 to cater a party for 10 people and $175 for 25 people. Write an equation for the given situation.

a)

y = 25x + 100

b)

y - 100 = 5(x - 10)

c)

y - 175 = 10(x - 25)

d)

100x + 175y = 35

112.

1) A caterer charges $100 to cater a party for 10 people and $175 for 25 people. Write an equation for the given situation.

a)

y = 25x + 100

b)

y - 100 = 5(x - 10)

c)

y - 175 = 10(x - 25)

d)

100x + 175y = 35

113.

When 4 people attend the movie theater, it costs $23.96. When 7 people attend the movie theater, it costs $41.93. What information is given and which equation should you use?

a)

A slope and y - intercept are given, use y = mx + b.

b)

A slope and y - intercept are given, use y - y1 = m(x - x1).

c)

Two points are given; use y - y1 = m(x - x1).

d)

Two different items that add to a total are given; use Ax + By = C.

114.

You took a standardized test on which all of the questions had to be answered. Your received 2 points for each correct answer but lost ½ point for each incorrect answer. Your score was 85 points. What information is given and what equation should you use?

a)

A slope and a y - intercept is given; use y = mx + b.

b)

A slope and a y - intercept is given; use y - y1 = m(x - x1).

c)

Two points are given; use y - y1 = m(x - x1).

d)

Two different items that add to a total are given; use Ax + By = C

115.

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. What information is given and what equation should you use?

a)

A slope and a y - intercept is given; use y = mx + b.

b)

A slope and a y - intercept is given; use y - y1 = m(x - x1).

c)

Two points are given; use y - y1 = m(x - x1).

d)

Two different items that add to a total are given; Ax + By = C

116.

1) A plumber charges $25 for a service call plus $50 per hour of service. What information is given and what equation should you use?

a)

A slope and a y - intercept are given; use y = mx + b.

b)

A slope and a y - intercept are given; use y - y1 = m(x - x1).

c)

Two points are given; use y - y1 = m(x - x1).

d)

Two different items that add to a total are given; use Ax + By = C

117.

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $102.00 The cost for 8 tickets is $150. What are the two points that we could use to find a linear equation for cost, C, of t tickets?

a)

(5,8) & (102, 150)\left(5,8\right)\ \&\ \left(102,\ 150\right)

b)

(8,5) & (150,102)\left(8,5\right)\ \&\ \left(150,102\right)

c)

(5,102) & (8,150)\left(5,102\right)\ \&\ \left(8,150\right)

d)

(102,5) & (150,8)\left(102,5\right)\ \&\ \left(150,8\right)

118.

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $102.00 The cost for 8 tickets is $150. Which linear equations represents the cost, C, of t tickets?

a)

C=5t+102C=5t+102

b)

C=8t+150C=8t+150

c)

C=.0625t+145.5C=.0625t+145.5

d)

C=16t+22C=16t+22

119.

A garbage pickup service charges a flat weekly rate plus an amount per pound of garbage collected. If Jayden has 30 pounds of garbage and is charged $13 and Shay has 50 pounds of garbage and is charged $19, How much will Haeley have to pay for her 23 pounds of garbage?

(a)  

120.

This problem:

a)

gives you a rate of change (slope) and a starting point (y-intercept)

b)

relates two different objects

c)

gives you a rate of change (slope) and a sample point (x,y)

d)

gives you two sample points

(x1, y1)\left(x_1,\ y_1\right) and (x2, y2)\left(x_2,\ y_2\right)

121.

This problem:

a)

gives you a rate of change (slope) and a starting point (y-intercept)

b)

relates two different objects

c)

gives you a rate of change (slope) and a sample point (x,y)

d)

gives you two sample points

(x1, y1)\left(x_1,\ y_1\right) and (x2, y2)\left(x_2,\ y_2\right)

122.

This problem:

a)

gives you a rate of change (slope) and a starting point (y-intercept)

b)

relates two different objects

c)

gives you a rate of change (slope) and a sample point (x,y)

d)

gives you two sample points

(x1, y1)\left(x_1,\ y_1\right) and (x2, y2)\left(x_2,\ y_2\right)

123.
 A zoo keeper thinks there is a problem with the Mole-Rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats, 13 days in he counts 108. 
How many rats will there be in 67 days?
a)
0
b)
67
c)
13
d)
-12