Name:___________________________________________________
_Date _____________________
Unit B Mid- Unit Test Review
For each of the following equations give the slope, y-intercept and then graph without
using a table.
1. y = 4 – 2x
2. y = 3/2x – 8
slope:
slope:
y-intercept:
y-intercept:
For each of the following tables of values determine if the table represents a linear
relationship between the variables. If the relationship is not linear write “NON-LINEAR. If
the relationship is linear write “LINEAR” and then write the slope, y-intercept and equation
of the line. Then determine if the relationship is PROPORTIONAL
3.____________
4. ____________
5. ____________
6. ____________
slope _________
slope ________
slope _______
slope _________
y-intercept _____
y-intercept ____
y-intercept____
equation __________
equation ____________
equation___________
equation __________
proportional? _____
proportional? ______
proportional?______
proportional? _______
y-intercept____
Directions for 7 – 12. Match each of the following equations with the graphs picture
below. Some choices will not be used. You will not use all the equations.
a. y = -x + 5
b. y = 1/2x + 4
d. y = x – 4
e. y = 1/4x + 4
c. y = 3x
f. y = x – 5
7. _________________________
8. _________________________
9. __________________________
10. _________________________
11. _________________________
2.
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13. For each graph find the slope and y-intercept and then write an equation for the line.
y-intercept b = _______
slope
m = _______
equation: _____________________________
y-intercept b = _______
slope
m = _______
equation: _____________________________
14. The linear equation y = 1.15x + 5 represents the cost of purchasing songs online
where y is the cost and x is the number of songs. Determine which of the following
statements is true about the rate of change of buying songs online.
A. The one time fee to buy songs is $5.
B. Each song costs $1.15.
C. You pay $1.15 for 5 songs.
D. The first 5 songs cost $1.15 each.
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15. Describe how you know how to graph the equation y = -2 and then graph it on the grid
below to the left. Also give the slope and y-intercept of the graph.
________________________________________________________________________________________________________
________________________________________________________________________________________________________
________________________________________________________________________________________________________
a. graph y = -2
b. graph x = 3
slope: _____________
slope: ________________
y-intercept: __________
y-intercept: ___________
16a. Is the graph of y = -2 a function? Explain
16b. Is the graph x=3 a function?
Explain.________________________________________________________________________________________________
16c. Is this statement true or false, “A relation, is a function IF each member of the
domain (input) corresponds to exactly one member of range (output).” ___________
16d. Is this statement true or false of a function? A relation, is a function IF each member
of the range (output) corresponds to exactly one member of domain (input). ________
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17. Which of the following is not a correct description of the graph of the linear equation
y = -23 x + 6?
A
The graph of the function contains the point (-3, 8).
B
The graph of the function is a line that passes through (0, 6) with a slope of
C
The graph of the function contains the point (-6, -2).
D
-2
3
.
On the graph of the linear equation when the x-value increases by 3 units the y value
decreases by 2 units.
18. Write the equation of the line that passes through the points graphed below.
A


B
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19 Which statement is true about the Equations represented below.
Equations A
Equations B
y = 32 x + 5
x
2
5
8
11
y
-3
-1
1
3
3
A. The slopes of both lines are 2 .
B. The slope of Equation A is positive and the slope of Equation B is negative.
C. The slopes of both lines are positive.
D. The slopes of both lines are negative.
20. . Determine if the following equations have a proportional relationship.
Equation A
Equation B
y = 3x +1
Equation C
x
0
1
2
3
y
7
5
3
1
__________________________________________________________________________________________
_________________________________________________________________________________________
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22. Miles made an error when finding the slope between the points (3, -1) and (-5, -5).
Identify and explain his error. Then correct his work. Show your work!
m
 5  (1)  4  1


3  (5)
8
4
Error: _____________________________________________________________________________________________
_________________________________________________________________________________________________
Corrected Work:
23. Mark and Ben each planted a Tree in the park. The height of each tree, h, after each
year, t, is shown below using a linear representation.
“Equation 1”
Mark’s Tree
Equation 2
Ben’s Tree
h = 2t + 7
Whose tree is growing faster? Explain.
_________________________________________________________________________________________________________
For the values of the slope and the y-intercept of the two linear equations shown above,
indicate if the value of equation 1 is greater than, equal to, or less than the corresponding
value for equation 2 by checking the appropriate box in the table below.
The value for
equation 1 is greater
than the value for
equation 2
The value for equation
1 is equal to
the value for equation 2
The value for equation
1 is less than
the value for equation 2
Slope
y-intercept
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Directions: Which of the graphs below represent a function of x? Select all of the answers
that apply.
24.
25.
Function ____________________
Function ____________________
Linear or Non-Linear ________________
Linear or Non-Linear ________________
26.
10.
Function ____________________
Linear or Non-Linear ________________
Function ____________________
Linear or Non-Linear ________________
27.
Function
____________________
Linear or Non-Linear
___________________
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The table below shows the price of albums at Bargain Music Den
Number of Albums
4
7
10
13
Price
$37.00
$64.75
$97.25
$120.25
The price of the same Albums at Dukan Music Store can be determined by the equation
y = 9.15x, where y is the price, in dollars , for x albums.
What is the unit price for an album at Bargain Music Den_______________________
Explain, how you figured this out. _________________________________________________________
_______________________________________________________________________________________________
What is the unit price for an album at Dukan Music Store_______________________
Explain, how you figured this out. _________________________________________________________
_______________________________________________________________________________________________
Where would you shop if you were buying albums and why? _________________________
______________________________________________________________________________________________
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