Unit 4B Test
Name: _____________________________ Date: ____________ Block: ______
Find the slope, m, for each representation. (#1 – 4)
1. (−3, 4) and (2, 1) m = ________
5. What is the zero in question #3? _________
___________________________________________
6. Sketch a line with zero slope.
_________________________________________________________________________________________
2.
m = ________
7. Given the equation 8x + 4y = −16:
x
−1
1
3
5
a) find the x-intercept ___________
y
−2
4
10
16
b) find the y-intercept ___________
c) use the intercepts to graph the line
______________________________________________ d) tell whether the slope is positive, negative,
zero, or undefined _______________
3. m = _________
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
__________________________________________________________________________________________
4. Identify the slope and y-intercept of the line
8. The parent linear function is y = x.
with the given equation. Then graph the line.
y
a) Describe how the graph of y = x + 3 will
compare with the parent function.
5
4
3
2
1
–5
–4
–3
–2
–1
–1
_____________________________________
1
2
3
4
5
x
m = __________
–2
–3
–4
–5
b = _________
b) Describe how the graph of y = 3x – 1 will
compare with the parent function.
9. a) If the y-intercept of
equation.
is decreased by 4, describe the effects on its graph and write the new
b) If the slope of y = 5x + 1 is doubled, write the new equation. How will the graph of the new equation
compare with the original equation?
_________________________________________________________________________________________
10. In what two ways do the following equations differ?
Equation A:
Equation B:
a) y-intercept and slant direction
b) steepness and y-intercept
c) slant direction and steepness
d) none of these
__________________________________________________________________________________________
Graph each inequality.
11.
12.
13.
_________________________________________________________________________________________
14. Which coordinate pair is in the solution set
for y < 1 – 6x?
15. Which of the following has a y-intercept of 3
and an x-intercept of 3?
A. (1, 0)
A. 3x – 3y = 3
B. (1, −1)
B. –x + y = 3
C. (0, 1)
C. x + y = 3
D. (−1, 1)
D. x – y = 3
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16. If the graph of y = 9x + 4 is translated 4 units up, which equation describes the new graph?
A. y = 9x + 8
B. y = 13x + 4
C. y = 13x + 8
D. y = 4x + 4
17. A table of values for a linear function is shown below. What is the x-intercept?
x
y
−2
3
0
2
2
1
4
0
A. 3
B. 2
C. 4
D. 1
__________________________________________________________________________________________
18. The graph below represents Billy Bob’s money supply while he is on vacation.
What does the x intercept in this situation represent?
A.
B.
C.
D.
The amount of money Billy starts with on his vacation.
The amount of money Billy loses each day on his vacation.
The amount of money Billy has to spend each day.
The amount of money Billy has left after 6 days on vacation.
_________________________________________________________________________________________
19. The graph below shows the water level in a tank being drained at a constant rate.
If the rate at which the tank is drained is changed to 3 inches per hour
and the initial water level stays the same, how would the time it takes
to empty the tank be affected?
A. It would take 4 fewer hours
C. It would take 2 fewer hours
B. It would take 1.5 more hours
D. It would take 2 more hours
__________________________________________________________________________________________
20. Which of the following inequalities are represented by the graph?
I.
II.
III.
IV.
A. II and IV
B. I and III
C. II and III
D. I and IV
21. The slope and y-intercept of the graph of f were changed to make the graph of g, as shown below.
Which statement describes the changes that were made to the graph
of f to make the graph of g?
A. The slope was multiplied by 2 and the y-intercept was decreased
by 5 to make the graph of g
B. The slope was multiplied by
and the y-intercept was
increased by 5 to make the graph of g
C. The slope was multiplied by −2 and the y-intercept was decreased
by 5 to make the graph of g
D. The slope was multiplied by and the y-intercept was increased
by 5 to make the graph of g
__________________________________________________________________________________________
22. The graph below shows a line segment representing the altitude of an airplane on its descent to land. The
time is measured is from when its wheels were lowered to the time it touches the ground. Use this situation to
answer the following questions.
a) What is the y-intercept? ___________
What does it represent in this situation?
__________________________________________________________________________________________
b) What is the x-intercept? ___________ What does it represent in this situation?
__________________________________________________________________________________________
c) What is the slope? ____________ What does it represent in this situation?