Grade 10 Math: Chapter 6 Unit Test Review
____
____
Name:_______________
and y-intercept –3.
1. Write an equation for the graph of a linear function that has slope
a.
c.
b.
d.
2. Which graph represents the equation
?
a.
c.
y
–4
y
4
4
2
2
0
–2
2
4
–4
x
–2
0
–2
–2
–4
–4
b.
4
x
2
4
x
d.
y
–4
____
2
y
4
4
2
2
0
–2
2
4
–4
x
–2
0
–2
–2
–4
–4
3. Write an equation to describe this graph.
y
4
2
–4
–2
0
–2
–4
2
4
x
a.
c.
b.
d.
____ 4. For a service call, a plumber charges a $95 initial fee, plus $45 for each hour he works. Write an equation to represent
the total cost, C dollars, for t hours of work.
a.
c.
b.
d.
____
5. Determine the slope and y-intercept of this graph.
y
4
a.
2
b.
–4
0
–2
2
4
slope:
c.
; y-intercept: 1.5
d.
slope: 1.5; y-intercept:
slope:
; y-intercept: –1.5
slope:
; y-intercept: 1.5
slope:
; y-intercept: 1.5
slope:
; y-intercept: –1.5
x
–2
–4
____
6. Determine the slope and y-intercept of the graph of this equation:
a.
b.
____
slope:
c. slope:
; y-intercept: 10
d.
slope: 10; y-intercept:
7. Use the equation
slope:
; y-intercept: 3
to calculate the value of y when
a. –74
b. –31
____
; y-intercept: 2
.
c. 31
d. –39
8. Determine the slope and y-intercept of this graph.
y
a.
4
b.
slope:
slope:
; y-intercept: –1.5
; y-intercept: 1.5
c.
d.
2
–4
0
–2
2
4
x
–2
–4
a.
b.
____ 10. Which equations represent perpendicular lines?
a.
,
c.
____
9. Which equations represent parallel lines?
b.
,
d.
,
c.
d.
,
,
,
,
,
_ ___
11. Describe the graph of the linear function with this equation:
c. The graph is a line through ( , 8) with slope 4.
a. The graph is a line through (9, –8) with slope
.
b. The graph is a line through ( , 8) with slope
.
d. The graph is a line through (9, –8) with slope 4.
____ 12. Write an equation for the graph of a linear function that has slope
a.
b.
c.
and passes through S(–4, 5).
d.
____ 13. Which graph represents the equation
?
a.
c.
y
–4
–2
y
4
4
2
2
0
2
4
–4
x
–2
0
–2
–2
–4
–4
b.
2
4
x
2
4
x
d.
y
–4
–2
y
4
4
2
2
0
2
4
x
–4
–2
0
–2
–2
–4
–4
____ 14. Write this equation in slope-intercept form:
a.
c.
13
5
b.
d.
13
5
____ 15. Determine the y-intercept of the graph of this equation:
13
5
13
5
a. -13
b. 13
____ 16. Write an equation in slope-point form for the line that passes through A(1, 4) and B(6, 8).
a.
c.
b.
d.
c. -10
d. 3
17. Write an equation for the line that passes through U(3, –7) and is perpendicular to the line:
____
a.
b.
c.
d.
____ 18. Determine the slope of the line that passes through G(3, –3) and H(–5, 9).
a. 3
2
b. 2

3
____ 19. Determine the slope of this line segment.
y
c. 2
3
d. 3

2
8
a. 3
13
b. 7
2
A
4
–8
0
–4
4
8
c. 2
7
d. 13
3
x
–4
B –8
____ 20. Is the slope of this line segment positive,
negative, zero, or not defined?
`____ 21. Is the slope of this line segment positive,
negative, zero, or not defined?
y
y
8
8
S
4
4
–8
0
–4
4
8
x
–8
–4
R
–8
a. CD & EF
B
b. EF & GH
D
2
c. AB & CD
d. AB & EF
–2
0
F
2
4
x
23. The slope of a line is
3
a. -
2
b. -
2
3
c.
3
2
d.
30
20
Short Answer
24. The total cost for a cheese of the month club is a flat fee of
$15, plus $9.50 per month. Write an equation to represent the
total cost, C dollars, for m months of membership.
–2
C
H
–4
E
c. zero
d. not defined
2
. What is the
3
slope of a line that perpendicular to this line?
____
y
–4
x
S
a. positive
b. negative
____ 22. Which of these line segments are parallel?
A
8
–8
c. not defined
d. negative
4
4
–4
T
a. zero
b. positive
0
–4
G
25. Write an equation for the line that passes through E(–3, –7)
and F(2, 10). Write the equation in slope-point form and in
slope-intercept form.
Grade 10 Math: Chapter 6 Unit Test Review
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
B
A
C
A
A
D
A
D
B
B
D
C
A
B
C
C
D
B
C
C
D
A
SHORT ANSWER
24. ANS:
25. ANS:
or