Algebra Unit 3 Test Review (not worth points)
Section 3.1 Evaluate Functions
1. If h(x) 
2
x  6 , what is the value of h(–7)?
7
Name: ________________________
2.
Use the graph to find:
f(5) = _____
3. If g(x) = 4x2 – 6, find g(–2)
Section 3.2 Maps, Tables, and Graphs
Express each relation as a graph, a mapping, and a table. Then state the domain and range and determine
whether it is a function.
4. Ordered Pairs: {(3, 4) (–3, –2) (–1, 2) (4, –2)}
x
Domain:
y
Range:
Find the slope that pass through each set of points.
8. (–4, 2) and (1, 3)
9. (–2, 4) and (4, 1).
Slope = ______
y
Function?
Section 3.3 Slope and Rate of Change
Find the slope of each graph.
5. slope = ______
6. slope = ______
Slope = _____
x
Write the equation of the line.
7. y = _____ x + _____
10.
X
Y
1
–
5
–
9
–
2
5
Slope = _____
8
11. If a slide has a drop of 60 inches and a run of 84 inches, what is the slope of the slide?
12. When a weight of 2 oz is attached to a spring, the length of the spring is 3 in. When a weight of 10
oz is attached, the length of the spring is 8.5 in. Find the rate of change in inches per ounce.
Remember to label your answer.
13. The following graph shows Raquel’s distance from
home as she drives to college.
a) Determine the slope of this linear relationship
using the slope formula and the two points given.
b) What is the rate of change? (include labels)
14. Alison is trying to raise money for her soccer team by selling raffle tickets. She has already
sold fifteen tickets. She estimates that she can sell an average of three tickets per day.
a) Variables: d = number of __________
b) write an expression: ________________
c) Complete the table:
Days
d) Graph
Tickets
0
3
6
15. Name the ordered pair at point A and EXPLAIN
what it represents.
Section 3.4 Graphing by Intercepts and Standard Form
16. 4x + 8y = –24
17. 4x – 6y = 12
x-int = ____
x-int = ____
y-int = ____
y-int = ____
Section 3.5 Graphing in Slope-Intercept Form
18. y =
1
x+2
2
slope = ____
19. y + 2x = 5
y-intercept = ____
y = ____________
20. 2y = 6x + 8
y = ____________
Section 3.6 Linear Transformations
Name the transformation(s) in each function from f(x) = x.
21. g(x) = x + 1
22. g(x) = x – 7
23. g(x) = –x + 3
24. Which line is steeper?
a) g(x) = x – 10
b) f(x) =
1
x+5
2
Section 3.7 Graphing Inequalities
Graph and SHADE each inequality. (Solid or Dotted?)
25.
y >
1
x + 2
4
slope = ____
y-int. = ____
26.
y
y – 3x < –1
___________
27. x < 3
slope = ___
< >
Section 3.8 Qualitative Graphs
28. David starts to walk his dog and builds up to a constant speed. He slows down and stops to give
the dog a drink. However, the dog runs off when he sees a squirrel. Choose the best graph.
29. Luke’s walks his dog. Then he lets the dog off the leash and it runs
around the yard. Then they go into the house and the dog stands,
eating from his dog dish and drinking from his water bowl. Graph time on
the horizontal axis and the dog’s speed on the vertical axis.
Answers: Section 3.1 Evaluate Functions: 1. –8
Section 3.2 Maps, Tables, and Graphs:
4.
2. –3
3. 10
6. –2
Section 3.3 Slope and Rate of Change: 5. Und
12. 0.6875 in per oz 13a) 55
14a) days 14b) 3d + 15
7. y = 1 x + 1 8. 1
3
5
9.  1
2
10.  3
4
11.  5
7
13b) 55 miles per hour
15. (2, 5) Simon will earn $5 if he sells 2 candles.
Section 3.4 Graphing by Intercepts and Standard Form:
Section 3.5 Graphing in Slope-Intercept Form:
Section 3.6 Linear Transformations: 21. Up 1
Section 3.7 Graphing Inequalities: 25.
22. Down 7
Section 3.8 Qualitative Graphs: 28. Graph 1 29.
23. Up 3, reflect over the x-axis
24. A