7th Unit 4REVIEW: Intro to Functions
8.5F1. Decide if the following are Proportional or Non proportional relationships?
y +7 = 3x + 7 ______
y = 1/2x -12 ______
y = -12x ______
y = 1.5x + 1 ______ / 8.8 C
4. A number decreased by 8 is the same as twice the number increased by 12. What is the number?
A 20
B 18
C −20
D 4
8.5F
2. It costs $2.50 a minute to use the Internet at a hotel. Which statement is true?
F This is a non-proportional situation which is represented by the equation
C =2.5m + 5.
G This is a non-proportional situation which is represented by the equation
C = 5 + 2.5m.
H This is a non-proportional situation which is represented by the equation
C=$5 + 2.5(m-20).
J This is a proportional situation which is represented by the equation C =2.5m. / 8.5G
5. Decide if each relation is a function or not a function?
______{(−2, 0), (−1, 0), (−1, 1), (0, 2)}
______{(0, 1), (1, 3), (2, 5), (0, 7)}
______{(−1, 4), (−1, 6), (0, 4), (1, 8)}
______{(1, 5), (9, 5), (11, 5), (11, 5)}
______{(2, 5), (3, 12), (-3, 17), (-2, 5)}
8.8 C
3. What is the solution to the equation
2x +4+ 2x = -2(4x + 10)?
8.5G
7. Four sets of ordered pairs are shown below.
a. {(2, -4), (-3, -5), (-3, 3), (-2, 6)}
b. {(5, 2), (3, 2), (-1, 2), (3, 4)}
c. {(-6, -4), (3, -4), (-2, -4), (5, -4)}
d. {(3, 2), (-3, -2), (3, 6), (8, 2)}
Which set(s) of ordered pairs do NOT describe a function?
A a only
B a and c only
C a, b, and d only
D All of the above / 8.8B
6. Which situation can be represented by
3x - 25 2x + 7 ?
F Three times a number increased by 25 is greater than twice the number decreased by 7.
G Three times a number increased by 25 is greater than twice the number increased by 7.
H Three times a number increased by 25 is less than twice the number decreased by 7.
J Three times a number decreased by 25 is greater than twice the number increased by 7.
8.5H
10. Determine if each relationship is describing a proportional or non-proportional relationship.
______total distance traveled and number of hours traveled, if Carson drove his car at a constant rate of 70 miles per hour for 2 hours
______total earnings and number of hours spent babysitting, if Peyton babysat for 6hours at a rate of $10 per hour
______total savings and number of weeks spent saving, if Jeremy was given $100 and then saved $10 each week for 6 weeks
______a rental company charges $100 per day and a one-time fee of $50
______a taxi ride costs $4 each mile
______a gym membership costs $30 per month and an additional annual registration fee of $75
______Brynlee earns $250 a week
8.5E
8. The amount of money Debbie earns varies directly with the number of hours she works. If she earns $600 when she works 40 hours, how much will she earn for working 85 hours? / 8.5G
11. For which value of m is the data in the table make a function?
F 16
G 7
H 4
J 12
8.5E
9. Distance from lightning varies directly with the time it takes to hear thunder. When thunder is heard 21 seconds after seeing lightning, the distance is 3 miles. What is the value of the constant k in this situation? / 8.5G
12. Create a mapping for the values below that does NOT describe a function.
X Y
0 5
3 8
6 11
9 14
8.5G
13. Which domain value causes the relation in the list of ordered pairs to not be a function?
(5, 7), (-6, 4), (-5, 3), (-6, 4) / TEK 8.5G
16.If f = is a function, which of the following could represent (a, b)?
F (3, -4)
G (0, -2)
H (-3, -1)
J (4, 6)
8.85E
14. It takes Morgan4 minutes to solve 8 math problems. If this relationship represents a direct variation, how many math problems can Morgan solve in 48 minutes? / 8.5H
17. Which equation represents a
non-proportional linear function?
F y + 3 = x + 3
G y + 4 = 3x+4
H y = x - 4
J y + 3 = -2x + 3
8.5F
15. Which table does NOT show a proportional relationship?
A
B
C
D / 8.5G
18. Draw an example of a graph that is a function.
19. Draw an example of a graph that is not a function.
20. Jet Ski Jeds charges $25 deposit plus $10.50 per hour to rent a jet ski. Wacky Water charges $20.50 per hour. For what number of hours will it cost the same amount to rent a jet ski from each place?