Linear Practice 1

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Name ______________________________ Period ___________ Date __________________
Linear
Line A

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Line B
y

Line C
y
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
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


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x
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Line D
y
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


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x
x
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y
x
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
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
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
Use graphs of Lines A-D to answer question 1-6.
1.
Which line(s) have a negative slope?
1. _______________________
2.
Which line has a slope of zero?
2. _______________________
3.
Which line has an y-intercept at (-2, 0)?
3. _______________________
4.
Which line has a slope of ½?
4. _______________________
5.
Which line is the graph of the equation y  3 x ?
5. ______________________
6.
Which line is the graph of the equation y   x  3 ?
6. ______________________
Questions 7- 20 are multiple choice. Please write your answer on the blank on the right side.
7.
The table below represents a linear function. Use the table below to find the slope.
x
y
0
5
A. 0
8.
2
6
B. 2
4
7
7. ___________
C.
1
2
D. –2
Find the slope of a line that contains the two points.
(0, 1) and (1, 3)
A. 2
B. –2
C.
1
2
D. 4
8. __________

9.
Find the slope of a line that contains the two points.
9. __________
(-2, 8) and (1, 2)
A.
1
2
C. 
B. 1
1
2
D. 2
10. What is the slope of the line below?
y
10. __________
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x
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
B. 
A. –3
1
3
C.
1
3
D. 3
11. The graph for a technician that charges a $10 flat fee plus an hourly
rate is shown below. What is the hourly rate charged?
11. __________
y


Cost



x



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


Time
A. $12 per hour
B. $9 per hour
C. $5 per hour
12. The equation of a line is given below. Based on the equation, what
is the slope of the line?
y  3x  1
A. 3
B. –3
C. 1
D. –1
D. $20 per hour
12. __________
13. Which equation below could be the equation of a line that goes through the
point (2, 4) and has a slope of 3?
A. y  3( x  2)  4
B. y  3( x  2)  4
C. y  3( x  4)  2
13. __________
D. y  3( x  2)  4
14. Where does the line 2x + 3y = 12 have an y-intercept?
A. (0. 4)
B. (0, 6)
C. (0, 3)
14. __________
D. (0, 5)
15. Which equation matches the graph of the line below?
15. __________
y

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
x
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
1
B. y   x  2
2
A. y  2 x  1
C. y  2 x  2
D. y 
16. Find the missing coordinate to complete the point.
y = 2x + 6
(4,
A. (4, 12)
16. __________
)
B. (4, 14)
C. (4, 10)
D. (4, 0)
17. Simplify the expression below.
17. __________
4  2(3x  5)
A. 6x  6
1
x 1
2
B. 24x  30
C. 6x  1
D. 9x  6
6
18. Identify the coordinates of point A below.
18. __________
4
A
2
-5
5
10
-2
A. (2, 3)
B. (3, 2)
C. (-3, -2)
D. (-2, -3)
-4
Question 21-25 are free response. Show all work and circle your answer.
19. Club Fit charges an initial fee of $35 for use of the club with an additional cost of $15 per month.
Complete the table of values.
Number of
Months
1
2
3
Total Cost
20. Write the equation of a line that goes through the point (-2, 4) and has a slope of 3. Simplify your
answer.
21. Write the equation of a line that goes through the points (1, 5) and (2, 8). Simplify your answer.
22. Solve for x.
2(4x – 3) = 6x + 10
23. Solve for x.
4x + 2(4x + 1) = 8
Graph each equation.
26. y 
24. y  2 x  1
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y
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y
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

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x
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
29. 3x  4 y  12
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30. x  3 y  6
y

x
x


y
y

x



27. y  3 x  2

28. 2 x  y  6

1
x
2
y
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x
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
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
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

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





x

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