Download Unit 6 Linear Functions ASSIGNMENT

Unit 6 Linear Functions ASSIGNMENT
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which line segment has slope
7
?
4
i)
ii)
y
4
y
4
A
2
2
A
–4
–2
0
2
4
–4
x
–2
–2
0
2
4
x
2
4
x
–2
B
B
–4
–4
iii)
iv)
y
y
A
4
4
2
2
B
–4
–2
0
2
4
–4
x
–2
B
____
0
–2
A
–4
a. iii
b. ii
–2
–4
c. i
d. iv
2. Determine the slope of the line that passes through G(3, –3) and H(–5, 9).
a.
3
2
b.

2
3
c.
2
3
d.

3
2
____
3. A line has x-intercept 2 and y-intercept 6? Determine the slope of the line.
a. 1
c. 3
3
b. 3
d.
1

3
____
4. Which of these line segments are parallel?
y
4
B
D
2
A
–4
–2
0
2
F
4
x
–2
C
H
–4
E
G
a. CD and EF
b. EF and GH
____
c. AB and CD
d. AB and EF
5. Determine the slope of the line that is perpendicular to this line segment.
y
4
2
–4
–2
0
B
2
4
x
–2
A –4
____
a. 3
c.
1
3
b. –3
d.
–
1
3
6. A line has x-intercept 4 and y-intercept –5. Determine the slope of a line perpendicular to this line.
a.
c. 5
4

5
4
b.
d. 4
5

4
5
____
7. Predict what will be common about the graphs of these equations.
i) y = 3x + 6
iii) y = 3x – 6
ii) y = 3x – 5
iv) y = 3x + 5
a. All the graphs will have the same slope.
c. All the graphs will have the same
y-intercept.
b. All the graphs will have the same
d. None of the above.
x-intercept.
____
8. The slope of this line is
8
. What is the equation of the line?
y
6
4
2
–4
–2
0
2
4
x
–2
–4
–6
–8
a.
c.
b.
d.
____
9. 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
____ 10. To join a tennis club, Josephine pays a start-up fee of $130, plus a monthly fee of $24. Write an equation to
represent the total cost, C dollars, for t months of membership.
a.
c.
b.
d.
____ 11. Describe the graph of the linear function with this equation:
a. The graph is a line through (8, –7) with slope .
b. The graph is a line through ( , 7) with slope .
c. The graph is a line through ( , 7) with slope 5.
d. The graph is a line through (8, –7) with slope 5.
____ 12. Determine the y-intercept of the graph of this equation:
a.
c.
b. 13
d. 3
____ 13. Write this equation in general form:
a.
b.
c.
d.
____ 14. 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
–4
x
–2
0
–2
–2
–4
–4
____ 15. Write this equation in slope-intercept form:
a.
10
4
y=
x+
3
3
b.
10
4
y=– x+
3
3
c.
10
4
x–
3
3
d.
10
y=– x–4
3
y=
____ 16. Jon has x egg cartons that hold 12 eggs and y egg cartons that hold 18 eggs. He uses these cartons to store 72
eggs. Which equation represents the relation?
a.
c.
b.
d.
Short Answer: Answer these questions on a separate piece of paper.
17. (2marks) Graph the line with y-intercept 3 and slope –2.
18. (2marks) Write an equation in slope-point form for this line.
16
y
12
8
(–4, 7)
4
–16
–12
–8
–4
0
4
8
12
x
–4
–8
–12
–16
19. a) (2marks) Determine the x- and y-intercepts of the graph of this equation:
b) (2marks) Graph the equation.