Secondary I Chapter 2 Test Review
Name ________________________ Period ______
Use each scenario to complete the table of values and calculate the unit rate of change.
1. Jimmy is riding his skateboard to soccer practice at a rate of 8 miles per hour.
a.
Independent
Quantity
y
Dependent
Quantity
14
13
12
11
10
9
8
7
6
5
4
3
2
1
Quantity
Units
Expression
0
0.5
1
1.5
2
–1–1
–2
1
2
3
4
5
6
7
8
9
x
b. Write the equation of the function ______________________________.
c. What is the rate of change for the function? ___________________
d. What is the y-intercept for the function? ______________________
c. Use the table to graph the function.
.
d. Use the function OR graph to determine Jimmy’s distance if he rides for 5 hours. ______________________
Identify the input value, the output value, the y-intercept, and the rate of change for each function.
2. A backyard pool contains 700 gallons of water. It is filled with additional water at a rate of 8 gallons per minute.
The function 𝑓(𝑡) = 8𝑡 + 700 represents the volume of water in the pool as it is filled.
Input ______________________
Output ______________________________
Y-intercept _________________
Rate of Change or Slope ________________
3. A submarine is diving from the surface of the water at a rate of 20 feet per minute. The function 𝑓(𝑡) = −20𝑡
represents the depth of the submarine as it dives.
Input _________________________
Output _________________________
y-intercept _____________________
Rate of change or Slope _____________
4. Evaluate the function 𝑓(𝑥) = −8𝑥 + 2 at each of these values.
a.
___________________
b.
_____________________
c.
___________________
d.
___________________
Solve each function for the given input value. The function 𝐴(𝑡) = 7.5𝑡 represents the
total amount of money in dollars Carmen earns babysitting as a function of time in hours.
5.
__________
6.
__________
7.
____________
8. Determine the value of t which results in the given function value.
a.
𝑓(𝑡) = −27𝑡 + 1140 𝑤ℎ𝑒𝑛 𝑓(𝑡) = 200
______________________
b.
𝑓(𝑡) = 5𝑥 − 22 𝑤ℎ𝑒𝑛 𝑓(𝑡) = 41
______________________
c.
𝑓(𝑥) = −10𝑥 + 2.5 𝑤ℎ𝑒𝑛 𝑓(𝑥) = 4
______________________
d.
𝑓(𝑥) = −7𝑥 𝑤ℎ𝑒𝑛 𝑓(𝑥) = −22
______________________
9.
Which choice shows the intersection of the lines?
a.
𝑓(𝑥) = −2𝑥 + 5 𝑤ℎ𝑒𝑛 𝑓(𝑥) = −7
c.
𝑓(𝑥) = −2𝑥 − 5 𝑤ℎ𝑒𝑛 𝑓(𝑥) = −7
b.
𝑓(𝑥) = −2𝑥 + 5 𝑤ℎ𝑒𝑛 𝑓(𝑥) = 7
d.
𝑓(𝑥) = −2𝑥 − 5 𝑤ℎ𝑒𝑛 𝑓(𝑥) = 7
Use the graph to determine the input value for each given output value. The function
total distance traveled in miles as a function of time in hours. (Hint: Draw a horizontal line.)
10.
D(t) = 80
____________
11.
D(t) = 360
____________
12.
D(t) = 200
_____________
13. Solve each inequality, and graph the solution on the number line.
represents the
a.
𝑥
5
+ 2 ≥ 20
𝒃. −5(𝑥 − 4) < 30
Solve each compound inequality. Circle your answer.
−14 < 6𝑥 − 2 ≤ 16
14.
.
𝑥 − 10 ≥ 14 or
15.
.
2
18 ≤ 3 𝑥 < 24
16.
.
Write an inequality for each graph.
17.
.
18.
.
19. A number is less than 25 or greater than 30. Write a compound inequality that represents the possible values of
the number. Then graph the compound inequality on the number line.
Inequality _______________________
20
21
22
23
24
25
26
27
28
29
30
31
32
33
20. Represent the solution to each compound inequality on the number line shown.
a.
b.
x < -2 or x < 4
x < 3 and x > 0
21. The graph represents the temperature range in a city
over 20 hours. Luke hates extreme cold and decides he
will only go outside when the temperature is 35° or
greater. Draw a circle on the graph to represent when
Luke will go outside.
22. Alex saved $80. He has already spent $15. He plans to spend $8 on a movie ticket each month. Which inequality
represents the number of movie tickets he can buy?
a.
8𝑡 − 15 ≤ 80
b.
8𝑡 + 15 ≤ 80
c.
−8𝑡 + 15 ≤ 80 d.
−8𝑡 + 15 ≤ 80
23. Which compound inequality has no solution?
a. 𝑥 < 10 𝑎𝑛𝑑 𝑥 > 100
b. x > 5 or x < 2
c. x > -2 and x < 5
d. x < 10 or x < 100
Write a compound inequality for each situation.
24. The flowers in the garden are 10 inches or taller or shorter than 3 inches. ___________________________
25. The plants in the garden are more than 6 feet tall or less than 1 foot tall. _________________________