Chapter test 6-4 to 6-7 Multiple Choice A
Name:_______________________Period:____
1. Which graph shows the best trend line for the following data?
a.
c.
Violin Competition
60
54
54
48
48
42
42
36
36
Score
Score
Violin Competition
60
30
30
24
24
18
18
12
12
6
6
2
4
6
8
10
12
14
16
18
2
20
4
d.
54
54
48
48
42
42
36
36
30
24
18
18
12
12
6
6
6
8
10
12
14
12
14
16
18
20
16
18
20
30
24
4
10
Violin Competition
60
Score
Score
Violin Competition
60
2
8
Practice (weeks)
Practice (weeks)
b.
6
16
18
20
2
Practice (weeks)
4
6
8
10
12
14
Practice (weeks)
Find the x- and y-intercept of the line.
2. 2x + 3y = –18
a. x-intercept is 18;
b. x-intercept is –6;
y-intercept is 18.
y-intercept is –9.
c. x-intercept is 2; y-intercept is 3.
d. x-intercept is –9; y-intercept is –6.
Are the graphs of the lines in the pair parallel? Explain.
3. y =
1
x+8
6
–2x + 12y = –11
a.
b.
c.
d.
Yes, since the slopes are the same and the y-intercepts are the same.
No, since the y-intercepts are different.
Yes, since the slopes are the same and the y-intercepts are different.
No, since the slopes are different.
4. Match the equation with it’s graph:
y
a.
–5
–4
–3
–2
x = –4
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
d.
y
–4
–5
–2
b.
–5
y
c.
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
2
3
4
5
x
1
2
3
4
5
x
y
5
–1
–1
1
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
Write an equation in point-slope form for the line through the given point with the given slope.
5. (4, –6);
m=
a.
c.
b.
d.
6. (10, –9); m = 2
a. y – 10 = 2(x + 9)
b. y – 9 = 2(x + 10)
c. y – 9 = 2(x – 10)
d. y + 9 = 2(x – 10)
7. A line passes through (1, –5) and (–3, 7). Write the equation for the line.
a.
c.
1
16
y  x
y = 3x + 8
3
b.
1
8
y  x
3
3
d.
y = –3x – 2
3
8. Match the equation with it’s graph: y = –3
y
a.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
d.
y
–4
–5
–2
b.
–5
y
c.
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
2
3
4
5
x
1
2
3
4
5
x
y
5
–1
–1
1
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
In problem 9, write an equation for the line that is parallel to the given line and that passes through the
given point.
(Hint: Write in point-slope form then solve for y)
9. y = –5x + 3; (–6, 3)
a. y = –5x + 27
b. y = –5x – 27
10. Write y =
c. y = 5x – 9
d. y = –5x + 9
1
x + 6 in standard form using integers. (Extra Credit – 1 point)
3
a. –x – 3y = 18
b. –x + 3y = 6
c. –x + 3y = 18
d. 3x – y = 18
For problem 11, write the equation of a line that is perpendicular to the given line and that passes through
the given point.
(Hint: Write in point-slope form then solve for y)
11. 4x – 12y = 2; (10, –1)
a. y = 3x + 29
b.
1
y =  x + 29
c. y = 3x + 29
d.
1
y= x+7
3
3
12. Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted
from the account. Model the situation with a linear function and a graph.
b
a.
280
560
240
480
200
160
400
320
120
240
80
160
40
80
1
2
3
4
5
6
7
Athletic Club Account
640
Balance ($)
Balance ($)
b
c.
Athletic Club Account
320
8
9
x
1
2
3
Number of Visits
b = 210 – 15x
b.
Athletic Club Account
6
7
8
9
x
8
9
x
b
Athletic Club Account
320
360
280
320
240
Balance ($)
280
Balance ($)
5
b = 195 + 15x
d.
b
400
4
Number of Visits
240
200
160
200
160
120
120
80
80
40
40
1
2
3
4
5
6
7
8
9
x
1
2
Number of Visits
b = 210 + 15x
3
4
5
6
7
Number of Visits
b = 195 – 15x
13.
A balloon is released from the top of a building. The graph shows the height of the balloon over time. What does
the slope and y-intercept tell you about the situation?
Height of a Balloon
4
3.5
Height (1000 ft)
3
2.5
2
1.5
1
0.5
10
20
30
40
50
60
Time (s)
a. The balloon starts at a height of 0.5 ft, and rises at a rate of 2 ft
b. The balloon starts at a height of 500 ft, and rises at a rate of 100 ft
c.
The balloon starts at a height of 100 ft, and rises at a rate of 500 ft
d. The balloon starts at a height of 0.5 ft, and rises at a rate of 10 ft
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. (Hint: What form do
the equations have to be in to see slope??)
14. 7x – 4y = 4
x – 4y = 3
a. perpendicular
b. parallel
c.
neither
b. perpendicular
c.
parallel
1
2
15. y =  x – 11
16x – 8y = –8
a. neither