Name: ________________________ Class: ___________________ Date: __________
ID: A
Unit IV.................................................Chapter 8....................................................Sections 8.1-8.4
Use the Vertical Line Test to determine if the graph
represents y as a function of x.
3. Which of the following relations is a function?
a.
1.
b.
2. Which relation is a function?
x 1 2 3 4
a.
y 3 6 9 12
b.
c.
d.
x
1
1
1
1
y
4
3
2
1
x
3
3
1
1
y
4
3
2
5
x
3
2
5
3
y
4
4
1
5
c.
d.
1
Name: ________________________
ID: A
Tell whether the graph represents a function. Write
Yes or No.
Complete the table, then sketch the graph of the
equation by plotting points.
8. −5x + y = − 2
x
–2
–1
y
?
?
4.
0
?
1
?
2
?
5.
9. An employee, who receives a weekly salary of
$300 and a 4% commission, is paid according to
the formula p = 0.04s + 300, where p represents the
total amount earned weekly and s represents the
total weekly sales. Find the earnings for a week
with $2916 in total sales.
Write the equation in function form. Then graph
the equation.
6. Which ordered pair is a solution of the equation
−2x − y = − 12?
a. ÁÊË 2, 5 ˜ˆ¯
b. ÊÁË 5, − 2 ˆ˜¯
c. ÊÁË −2, 5 ˆ˜¯
d. ÊÁË 5, 2 ˆ˜¯
10. 6x − 3y = 15
11. 2x − 3y = 0
Find the intercepts of the equation's graph.
12. x = − 7
13. y = − 7
y = − 3x + 3
a. x-intercept: 1, y-intercept: 3
b. x-intercept: 3, y-intercept: 1
c. x-intercept: 3, y-intercept: −3
d. x-intercept: −3, y-intercept: 3
15. −3x + 3y = 8
Find the value of a that makes the ordered pair a
solution of the equation.
14.
7. −x + 2y = 20; ÊÁË a, 6 ˆ˜¯
a. –8
b. –6
c. –11
d. –13
2
Name: ________________________
ID: A
16. y = 2.5x − 10.5
a. x-intercept: − 2.5, y-intercept: 10.5
b. x-intercept: 4.2, y-intercept: − 10.5
c. x-intercept: 10.5, y-intercept: 2.5
d. x-intercept: − 10.5, y-intercept: 4.2
5
2
34
17.
x− y=
9
3
9
Draw the graph of the line that passes through the
points. Then find the slope of the line.
20. ÊÁË −7, 1 ˆ˜¯ , ÊÁË 6, − 2 ˆ˜¯
Graph the equation using intercepts.
18. −x − 5y = 5
21. If a line passes through quadrants III, II, and I,
determine whether the slope of the line is positive,
negative, zero, or undefined. Explain.
22. If a line only passes through quadrants II and I,
determine whether the slope of the line is positive,
negative, zero, or undefined. Explain.
Find the slope of the line.
Find the slope and y-intercept of the line with the
given equation.
19.
23. y = −25
a. slope: − 25; y-intercept: 1
b. slope: − 25; y-intercept: none
c. slope: 0; y-intercept: − 25
d. slope: 1; y-intercept: − 25
5
24. y = − x + 7
3
b.
1
7
7
c.
−
a.
d.
1
7
−7
3
Name: ________________________
ID: A
Find the slope and y-intercept of the graph of the
equation. Then graph the equation.
25. y = 2x + 3
26. Your weight on Earth is multiplied by 0.378 to find
your approximate weight on Mars.
a. Write an equation for this rule. Tell what each
variable represents.
b. According to this rule, how much does an object
that weighs 34 pounds on Earth weigh on Mars?
4
ID: A
Unit IV.................................................Chapter 8....................................................Sections 8.1-8.4
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
Function
A
A
No
Yes
D
A
x
y
–2
–12
–1
–7
0
–2
1
3
2
8
9. $416.64
10. y = 2x − 5
11. y =
2
x
3
12. x-intercept: − 7, y-intercept: none
13. x-intercept: none, y-intercept: − 7
14. A
1
ID: A
8
8
15. x-intercept: − , y-intercept:
3
3
16. B
17
34
, y-intercept: −
17. x-intercept:
5
3
18.
19. A
20.
3
13
Answers may vary. Sample answer: The slope of the line is positive. For the line to pass through quadrants III, II,
and I, the line must rise from left to right.
Answers may vary. Sample answer: The slope of the line is zero. For a line to only pass through quadrants II and I,
the line cannot have a positive or negative slope. As a result, the difference in the y-coordinates of the slope is
zero, which results in the slope being zero.
C
5
slope: − ; y-intercept: 7
3
−
21.
22.
23.
24.
2
ID: A
25.
slope: 2; y-intercept: 3
26. a. M = 0.378E; M = weight on Mars, E = weight on Earth
b. 12.852 pounds
3