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.
Quantity
Units
Expression
Independent
Quantity
Time
Minutes
t
0
0.5
1
1.5
2
Dependent
Quantity
Distance
Miles
8t
0
4
8
12
16
y
14
13
12
11
10
9
8
7
6
5
4
3
2
1
–1–1
–2
1
2
3
4
5
6
7
8
9
x
b. Write the equation of the function _________f(t)= 8t_________________.
c. What is the rate of change for the function? ___8________________
d. What is the y-intercept for the function? __________0____________
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. ______40 miles_________
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 __________t____________
Output _____________f(t) or 8t + 700_________
Y-intercept _______700_______
Rate of Change or Slope _______8_________
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 ___________t_____________
Output ___________f(t) or -20t________
y-intercept ________0____________
Rate of change or Slope ____-20_______
4. Evaluate the function 𝑓(𝑥) = −8𝑥 + 2 at each of these values.
a.
______-158__________
b.
______-20.4___________
c.
________-1598_______
d.
_________32________
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.
___22.5____
6.
___33.75___
7.
_____45_____
8. Determine the value of t which results in the given function value.
a.
𝑓(𝑡) = −27𝑡 + 1140 𝑤ℎ𝑒𝑛 𝑓(𝑡) = 200
_______34.81__________
b.
𝑓(𝑡) = 5𝑥 − 22 𝑤ℎ𝑒𝑛 𝑓(𝑡) = 41
_______12.6___________
c.
𝑓(𝑥) = −10𝑥 + 2.5 𝑤ℎ𝑒𝑛 𝑓(𝑥) = 4
________-0.15_________
d.
𝑓(𝑥) = −7𝑥 𝑤ℎ𝑒𝑛 𝑓(𝑥) = −22
________3.14__________
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
___t = 2_____
11.
D(t) = 360
___t = 9_____
12.
D(t) = 200
____t = 5_____
represents the
13. Solve each inequality, and graph the solution on the number line.
𝑥
a.
+ 2 ≥ 20
5
x ≥ 90
90
𝒃. −5(𝑥 − 4) < 30
x > -2
-2
0
Solve each compound inequality. Circle your answer.
−14 < 6𝑥 − 2 ≤ 16
14.
-2 < x ≤ 3
𝑥 − 10 ≥ 14 or
15.
x ≥ 24 or x < 3
2
18 ≤ 3 𝑥 < 24
16.
27 ≤ x < 36
Write an inequality for each graph.
17.
7 < x < 25
18.
.
-2 < x ≤ 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 _____x < 25 or x > 30_________
20
21
22
23
24
25
26
27
28
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
29
30
31
32
33
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. ___x < 3 or x ≥ 10__________
25. The plants in the garden are more than 6 feet tall or less than 1 foot tall. ______x < 1 or x > 6__________
Solve the Absolute Value Equation.
26. |2𝑥 + 5| = 13
2𝑥 + 5 = 13 − (2𝑥 + 5) = 13
2𝑥 = 8
2𝑥 + 5 = −13
𝑥=4
2𝑥 = −18
𝑥 = −9
27. −3|𝑥 − 8| + 5 = 26
−3|𝑥 − 8| = 21
|𝑥 − 8| = −7
Not Possible
Solve the Absolute Value Inequality. Graph on the number line.
29. |2𝑑 − 9| ≥ 5
𝑑 ≥ 7 𝑜𝑟 𝑑 ≤ 2
0 1 2 34 5 6 7
30. −3|𝑥 + 2| > 15
|𝑥 + 2| < −5
Not Possible – No Solution
28. 4|𝑥 − 1| = 44
|𝑥 − 1| = 11
𝑥 − 1 = 11
− (𝑥 − 1) = 11
𝑥 = 12
𝑥 − 1 = −11
𝑥 = −10
31. 5|3𝑚| − 1 > 29
𝑚 > 2 𝑜𝑟 𝑚 < −2
-2 -1 0 1 2