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WorksheetsLinear Functions
Total questions: 68
Worksheet time: 5hrs 36mins
Name
Class
Date
1.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
2.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
3.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
4.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
5.
What is the slope?
a)
m= -2/3
b)
m=3/2
c)
m=-3
d)
m=2
6.
Find the slope given the following points: (5,1) and (3,1)
a)
m=1/4
b)
m=0
c)
m=1
d)
m=undefined
7.
Write in slope intercept form given the slope: m=3 and y int: -2
a)
y=3x-2
b)
y=2/3x
c)
y=-2x+3
d)
y=3x
8.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
9.
Find the slope between the two given points: (-2,1) and (5,7)
a)
7/6
b)
2
c)
6/7
d)
-2
10.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
11.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
12.
a)
Function
b)
Not a Function
13.
A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?
a)
y = 6.50x - 0.75
b)
y = 6.50x + 0.75
c)
y = 6.50x - 1.50 - 0.75
d)
y = 5x - 0.75
14.
Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?
a)
y = 5 + 12x
b)
y = 12x
c)
y = 7x + 5
d)
y = 12x + 12
15.
Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.
Write a linear model that shows how much money will be in the account after x months.
Write a linear model that shows how much money will be in the account after x months.
a)
y=25000x-1500
b)
y=25000+1500
c)
y=1500x+25000
d)
y=-1500x+25000
16.
Which situation can be represented by
y = 17x - 8?
y = 17x - 8?
a)
The number of seeds, y, needed to feed 8 hamsters 17 seeds each.
b)
The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $8 in the tip jar.
c)
The cost, y, of buying 17 movie tickets that sell for $8 each.
d)
The cost, y, of buying Star Wars figurines at $17 each with an $8 discount.
17.
Mr. Cabs has a gold membership at the local pet store to buy cheap mice to feed to his iguanas. The function y = 50 + 0.75x can be used to find the cost of purchasing the gold membership and buying x mice from the store. Based on this information, which statement about the graph of this situation is true?
a)
The y-intercept represents the number of mice Mr. Cabs purchased from the store.
b)
The slope of the line represents the cost of purchasing the gold membership.
c)
The y-intercept represents the cost of purchasing the gold membership.
d)
The slope of the line represents the total number of mice purchased by Mr. Cabs.
18.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
19.
Find the equation of the line.
a)
y = - 3x - 3
b)
y = 1/3x + 3
c)
y = - 3x + 2
d)
y = 1/3x - 3
20.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
21.
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
22.
What is the equation of the line that has a slope of 4 and goes through the point (2, 9)?
a)
y = 2x + 4
b)
y = 2x + 9
c)
y = 4x + 1
d)
y = 4x + 9
23.
Write equation of the line containing (6, 3) and (4, 1)
a)
y = -1x + 5
b)
y = 1x - 3
c)
y = 1x + 5
d)
y = -1x + 3
24.
What is the slope?
a)
m= -2/3
b)
m=3/2
c)
m=-3
d)
m=2
25.
Find the slope given the following points: (5,1) and (3,1)
a)
m=1/4
b)
m=0
c)
m=1
d)
m=undefined
26.
Write in slope intercept form given the slope: m=3 and y int: -2
a)
y=3x-2
b)
y=2/3x
c)
y=-2x+3
d)
y=3x
27.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
28.
Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?
a)
y = 3/2x - 6
b)
y = 2/3x + 3
c)
y = -2/3x - 2
d)
y = -2/3x + 2
29.
What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)
y = -4x + 6 (2, -1)
a)
y = 1/4x + 6
b)
y = -4x + 7
c)
y = -4x + 2
d)
y = 1/4x -1
30.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
31.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
32.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
33.
Solve for x:
2(3x + 4) + 2 = 4 + 3x
2(3x + 4) + 2 = 4 + 3x
a)
2
b)
-2/3
c)
10
d)
-2
34.
What is the equation of this line?
a)
0
b)
undefined
c)
y = -2
d)
x = -2
35.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
36.
A dog walker earns $10 plus $3 per dog. What equation represents this model?
a)
y=3x + 10
b)
y=10x + 3
c)
y=13x
d)
y=10x - 3
37.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
38.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
39.
What direction is an undefined slope?
a)
horizontal
b)
vertical
40.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
41.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
42.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
43.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
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)
44.
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
(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)
45.
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
46.
Is the graph positive or negative?
a)
Positive
b)
Negative
47.
Is the graph positive or negative?
a)
Positive
b)
Negative
48.
Is the graph positive or negative?
a)
Positive
b)
Negative
49.
Is the graph positive or negative?
a)
Positive
b)
Negative
50.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
51.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
52.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
53.
What type of correlation (association)?
The outside temperature and the amount of layers you wear.
The outside temperature and the amount of layers you wear.
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
All of the above
54.
The number of siblings you have and your weight.
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
All of the above
55.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
56.
What is the type of correlation?
a)
Negative
b)
no association
c)
positive
57.
What type of correlation does this scatter plot show?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
58.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 140 pages.
a)
12 chapters
b)
19 chapters
c)
14 chapters
d)
21 chapters
59.
You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?
a)
As x increases, y decreases
b)
As x increases, y increases
c)
As x decreases, y decreases
60.
1. Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?
a)
65
b)
92
c)
70
d)
76
61.
Which of these lines has a y-intercept of -1
a)
A
b)
B
c)
C
d)
D
62.
Which graph below matches the equation of y = 1/2x + 3
a)
b)
c)
d)
63.
Write in slope intercept form
5x - 3y = -9
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
64.
Identify the slope and y-intercept of:
y = 1/5x + 5
y = 1/5x + 5
a)
slope: 1/6 y-intercept: 4
b)
slope: 1/5 y-intercept: 5
c)
slope: 5/1 y-intercept: 5
d)
slope: 1 y-intercept: 5
65.
Write the equation below in standard form
y = 2/3 x +5
y = 2/3 x +5
a)
-2/3x+y=5
b)
-4x+6y=15
c)
2x-3y=-15
d)
-2x+3y=15
66.
Write the equation
y=2x+1
in standard form.
y=2x+1
in standard form.
a)
-2x+y=1
b)
2x+y=-1
c)
2x-y=-1
d)
2x+y=-1
67.
Which of the following are written in standard form?
a)
y=3x-5
b)
3x+16=5y
c)
2/3 x + 9/13 y = 21
d)
5x+7y=-12
68.
Solve for y:
y + 2 = 3x
y + 2 = 3x
a)
y = 2x + 3
b)
y= 3x +2
c)
y= 3x -2
d)
y= 6x
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