Name: ____________________________________________ Date: _____________________ Period: _______
Algebra Chapter 7 Race 2
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x.
2
5
a. y = x − 6
c. y = x − 6
5
2
2
1
5
b. y = 6x −
d. y = x −
5
6
2
Find the slope of the line that passes through the pair of points.
____
2. (3, 7), (8, –3)
a.
____
−2
b.
−
1
2
c.
1
2
d.
2
3.
Use the graph.
a. Which plant was the tallest at the beginning?
b. Which plant had the greatest rate of change over the 6 weeks?
a.
b.
plant 3; plant 2
plant 2; plant 3
c.
d.
plant 1; plant 1
plant 1; plant 3
Write an equation for the line that is parallel to the given line and that passes through the given point.
____
1
x – 10; (–6, –23)
2
a. y = −2x + 20
1
11
b. y = x +
2
2
4. y =
c.
d.
1
y = 2x – 20
1
y = x – 20
2
Write an equation of a line with the given slope and y-intercept.
____
2
5. m = − , b = −1
5
2
a. y = − x + 1
5
5
b. y = − x – 1
2
c.
d.
2
y=− x–1
5
2
y = −x –
5
Write the slope-intercept form of the equation for the line.
____
6.
a.
b.
y = 3x + 1
1
y=− x−1
3
c.
d.
y = 3x − 1
1
y= x−1
3
Find the x- and y-intercept of the line.
____
7. –3x – y = 15
a. x-intercept is –5; y-intercept is –15.
b. x-intercept is –1; y-intercept is –3.
c.
d.
2
x-intercept is –15; y-intercept is –5.
x-intercept is –3; y-intercept is –1.
State whether the slope is 0 or undefined.
____
____
8.
a.
undefined
b.
0
a.
0
b.
undefined
9.
3
Match the equation with its graph.
____ 10. –6x – 7y = 42
a.
c.
b.
d.
4
Graph the equation.
____ 11. y – 4 =
1
(x + 5)
8
a.
c.
b.
d.
5
____ 12. x = –1
a.
b.
c.
d.
6
____ 13. y = 2
a.
b.
c.
d.
3
x + 11 in standard form using integers.
8
–3x – 8y = 88
c. 8x – 3y = 88
–3x + 8y = 11
d. –3x + 8y = 88
____ 14. Write y =
a.
b.
____ 15. A line passes through (–5, –3) and (4, –1).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
2
a. y + 3 = (x – 5); –2x + 9y = –17
c. y + 3 =
9
2
b. y – 3 = (x + 5); –2x + 9y = 17
d. y + 5 =
9
7
2
(x + 5); –2x + 9y = –17
9
2
(x + 3); –2x + 9y = –39
9
Find the slope of the line.
____ 16.
a.
2
3
b.
−
3
2
c.
3
2
−
d.
____ 17. A student finds the slope of the line between (13, 6) and (4, 15). She writes
2
3
6 − 15
. What mistake did she
4 − 13
make?
a. She used y-values where she should have used x-values.
b. She should have added the values, not subtracted them.
c. She did not keep the order of the points the same in the numerator and the denominator.
d. She mixed up the x- and y-values.
Write the equation of a line that is perpendicular to the given line and that passes through the given
point.
____ 18. 2x + 11y = 8; (8, –8)
11
a. y = x – 52
2
2
b. y = x + 52
11
c.
d.
11
x – 52
2
2
y = x – 52
11
y=−
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
7
x + 11
8
16x + 14y = –6
a. parallel
____ 19. y =
b.
perpendicular
8
c.
neither
Find the slope and y-intercept of the line.
____ 20. 9x + 6y = 24
3
a.
; −4
2
2
b. − ; 4
3
c.
d.
3 1
− ;
2 4
3
− ;4
2
Is the relationship shown by the data linear? If so, model the data with an equation.
____ 21.
a.
b.
c.
d.
x
y
3
–2
8
0
13
2
18
4
The relationship is not linear.
2
(x – 3).
5
5
The relationship is linear; y – 3 = (x + 2).
2
5
The relationship is linear; y + 2 = − (x – 3).
2
The relationship is linear; y + 2 =
9
____ 22. Use the slope and y-intercept to graph the equation.
3
y=− x+2
4
a.
c.
b.
d.
Write an equation in point-slope form for the line through the given point with the given slope.
1
5
1
y + 5 = (x – 2)
5
1
y + 2 = (x – 5)
5
____ 23. (–5, 2); m =
a.
b.
c.
d.
10
1
y + 2 = (x + 5)
5
1
y – 2 = (x + 5)
5
Are the graphs of the lines in the pair parallel? Explain.
4
x + 15
7
–4x + 7y = –10
a. No, since the slopes are different.
b. Yes, since the slopes are the same and the y-intercepts are different.
c. No, since the y-intercepts are different.
d. Yes, since the slopes are the same and the y-intercepts are the same.
____ 24. y =
11
ID: A
Algebra Chapter 7 Race 2
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.
24.
A
A
D
D
C
D
A
B
B
B
A
A
A
D
C
B
C
A
B
D
B
B
D
B
1