Name:____________________________
Date:_________________
Pd:__________
Show work for each question on a separate paper!
1. The ordered pairs (0, 5), (1, 6), (2, 9), (3, 14), (4, 21) and (5, 30) represent a function. What is a rule
that represents this function?
a.
y  x5
c.
b.
y  2x  5
d. y  2 x  5
y  x2  5
2. A sunflower in Barb’s garden was 7 inches tall when it was first planted. Since then, it has grown
approximately 0.75 inches per day. What rule describes this function?
a. h(d )  7d  0.75
b.
d
h( d ) 
7
0.75
c. h(d )  0.75d
d. h(d )  0.75d  7
3. The function c(b)  44b represents the number of cans c(b) that are needed for b boxes. How
many cans are needed for 8 boxes?
4. What is the slope of the line that passes through the pair of points (-3, 2), (1, 5)?
1
5. What are the x- and y-intercept of the line y   x  5 .
3
6. The table shows the cost of a party package including a given number of pizza. If the rate of change
is constant, find the rate of change. Explain what the rate of change means for the situation.
7. Write the slope-intercept form of the equation for the line?
Pizza
Cost
2
$ 16
3
$ 24
4
$ 32
5
$ 40
8. What equation in slope intercept form represents the line that passes through the two points
5
4


  3 ,  and 1,   ?
3
3


9. Graph the function rule y  2x - 5 .
3
10. Write an equation in slope-intercept form for the line that is parallel to y   x  6 and passes
2
through (2, –1).
11. Graph the equation 6 x  5 y  20 .
9
12. Write the equation of a line that is perpendicular to y  5  ( x  6) and passes through (1, –2).
4
13. Graph the inequality 2 x  3 y  1
14. Which of the following points is NOT a solution to the
inequality x  3 ? (use the graph  )
15. Jerry has $200 in his savings account and he adds $30 per month to the account. The total can be
represented by the linear function T  30x  200 . His goal is to have a total of $460 in four more
months. What should he change in the function to reach his goal?
a.
b.
c.
d.
Change the y-intercept of the linear function to $260.
Change the y-intercept of the linear function to $65.
Change the amount he adds to $35.
Change the amount he adds each month to $65.
Open-Ended
16.
Stephanie has 100 tiles left over from tiling her kitchen floor and she would like to use them to tile
the laundry room of her house. Each tile has an area of 25 in. . The function A(t )  25t
represents the area A(t ) , in square inches, that t tiles cover.
A) If Stephanie plans on using at least half of the tiles, what domain and range are reasonable
for the function A(t ) ?
A(t)
5000
B) What is the graph of the function? A(t )  25t
4000
C) If the dimensions of the laundry room floor are
3000
7 feet by 10 feet, how many more tiles would
Stephanie have to purchase in order to have enough
tiles to complete the project? Show your work and
explain how you arrived at your answer.
2000
1000
20
40
60
80
100 t
Name:____________________________
Date:_________________
Pd:__________
Show work for each question on a separate paper!
Additional Unit 4 Review Questions
1. The scatter plot below shows the average yearly consumption of bottled water by people in the United
States starting in 1990.
Using the line of best fit, predict the average consumption of bottled water in the year 2000?
A) 20 gallons
B) 18 gallons
C) 20 gallons
D)
19 gallons
2. Given the graph of 𝑦1 = −2𝑥 − 3 is represented by the line 𝑦1 , which equation could be represented
by line 𝑦2 ?
y
a) 𝑦2 = 2𝑥 − 3
b) 𝑦2 = 2𝑥 − 2
x
1
c) 𝑦2 = 7 𝑥 − 3
d) 𝑦2 = 8𝑥 − 3
𝑦2
𝑦1
3. You have 11 bottles of water. It takes 1 bottle of water to make 24 ice pops . The function c(f) = 24f
represents the number of ice pops, c, that can be made with f bottles of water. What domain and range are
reasonable for the function? What is the graph of the function?
a. The domain is
The range is
c. The domain is
The range is
.
.
c(f)
.
.
c(f)
240
240
180
180
120
120
60
60
4
8
b. The domain is
The range is
12
f
4
8
d. The domain is
The range is
.
.
c(f)
12
f
.
.
c(f)
240
240
180
180
120
120
60
60
4
8
12
f
4
8
12
f