7thPAP Unit 5Review: Representing Linear Functions

8.5I
1. Write an equation in slope intercept form to represent the relationship shown in the table.
x / –2 / –1 / 0 / 1
y / 4 / 6 / 8 / 10
/ 8.5I
3. What is the equation for a line passing through the points (–4, –4) and (1, 6)?
8.4B
2.Graph the relationship between the number of cookie recipes and the numberof cups of flour required if 2 recipes require 7 cups. Identify the slope, unit rate, the y-intercept and the equation.

Slope______
Unit Rate ______
Y-intercept ______
Equation ______ / 8.5B
4. Graph the following equations using the slope and y-intercept.

a)y = -x + 2

b) y = x – 4

c) y = -x + 5
8.4C
5. Look at the table of values for a linear function shown below.

What is the slope and y-intercept of the function?
Slope ______
Y-intercept ______ / 7.3B
8. The teacher spent $241.35 on supplies. He bought expo markers for $107.90, pencils for $95.45, and some notebooks for $4.75 each. How many notebooks did he buy?
8.5F
6. The table below shows values of x and y in a direct proportional relationship.

What will be the value of y when x is 40? / 8.5I
9. An online sports ticketselling company charges a service charge of $5 to buy tickets. Each ticket costs $62 for a basketball game. Write an equation to represent the cost of buying tickets through the company.
8.5I
7. Parallel lines have the same slope. What is the slope of a line parallel to 8y = 32x + 8?
Record your answer and fill in the grid. Be sure to use the correct place value.
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10. Find the values of x and y that simultaneously satisfy the two equations by graphing.
y =-2x - 8 and y = x + 4

8.5I
11. Write an equation to represent the data in the table.
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13. The number of nickels in a coin collection is 6 less than 4 times the number of dimes. If x represents the number of dimes, which equation represents the relationship between the number of nickels and number of dimes in the collection?

8.4B
12. The graph below shows the relationship between the number of minutes read and the number of pages read.

Based on the information in the graph, what is the unit rate in pages per minute? / 8.4C
14. The graph shows the amount of money Julia saved over a 6-week period. What do the slope and y-intercept mean?

F The slope of 40 means that the initial amount Julia had was $60. The y-intercept of 60 means that Leslie saved $60 each week.
G The slope of 40 means that the initial amount Julia had was $40. The y-intercept of 60 means that Julia saved $60 each week.
H The slope of 60 means that Julia saved $60 each week. The y-intercept of 40 means that the initial amount Julia had was $40.
J The slope of 40 means that Julia saved $40 each week. The y-intercept of 60 means that the initial amount Julia had was $60.
8.9A
15.A gardener is filling one tank with water, while emptying another. The first tank is empty and is being filled at a rate of 6 gallons per minute. The second tank is full and is being drained at a rate of 2 gallons per minute. If both tanks hold 48 gallons of water, how many minutes will it take for the two tanks to have the same amount of water?
/ 8.4B
17. Use the graph below to find the slope of each line listed below?

Line g ______
Line h ______
Line r ______
Line s ______
8.4A
16. On the graph provided, draw an example of following lines and label each one:
Zero slope
Undefined slope / 8.9A
18. Graph y = and y = x + 1 on the grid below.

What values of x and y simultaneously satisfy the two equations?
7.4D
19. Joel is charged $25 at the car wash for the deluxe wash. He leaves a 5 dollar tip. What percent tip did he leave? / 8.5A
22.Which equation does NOT represent a linear proportional relationship?
F y = - 1
G y = 3x
H y = 2x
J y = 5x
8.5B
20. Which statement is true about the non-proportional linear relationship defined by y = 6x + 10?
F The graph is a line containing the point (10, 0).
G The table of values for the relationship could contain x = −2 and y = −2.
H The graph is a line with a slope of 10.
J The graph is a line with a y-intercept of 6. / 8.5G
23. If f = is a function, which of the following could represent (a, b)?
A (3, 4)
B (2, -2)
C (-3, -1)
D (4, 6)
8.5I
21. What is the equation for the values in the table?
x / –10 / –6 / 6 / 10
y / –3 / –1 / 5 / 7
A y = x – 1
B y = x + 1
C y = x + 1
D y = x + / 8.8C
24. Solve for x and record the value in the grid.
4x + 10 – 2x = 2(4x + 3)
8.5I
25. Ms. Wilson bought two 60-cent stamps and x number of 48 cent stamps. Which equation shows the relationship between the total cost of the stamps and the number of 48 cent stamps she bought?
A C = 60 + 48x
B C = 120 + 48x
C C = 60x + 48
D C = 60(x + 48) / 8.4C
27. Which line described below has the least positive slope?
F A line containing the points (4, 6) and (6, 8)
G A line containing the points (−2, 8) and (2, 9)
H A line containing the points (0, −5) and (30, −2)
J A line containing the points (9, 11) and (4, 4)
8.5I
26. Parallel lines have the same slope. What is the slope of a line parallel to
6y = -24x + 12?
Record your answer and fill in the. Be sure to use the correct place value.
/ 8.5B
28 Rhonda made a list of the things she thought would be true about a non-proportional linear relationship. Her list included the following:
a. The graph will be a line that contains the origin.
b. The graph will have a constant slope.
c. The equation will be of the form y = mx + b, b 0
Which of Rhonda’s statements is true about any non-proportional linear relationship?
F b and c only
G a and b only
H None of the above
J All of the above