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Name: ________________________ Class: ___________________ Date: __________
Chapter 5 Test
Solve the system by graphing.
____
ÔÏÔÔ −3x − y = 7
1. ÔÌÔ
ÔÔÔ 3x − 2y = −4
Ó
a.
c.
(–1, –2)
b.
(–2, 1)
d.
(1, –2)
(–2, –1)
1
ID: A
Name: ________________________
____
ÔÏÔÔ y = −x − 9
2. ÔÌÔ
ÔÔÔ 3x − y = −11
Ó
a.
ID: A
c.
(–5, –4)
b.
(–4, –5)
d.
(–10, –19)
(–1, –8)
2
Name: ________________________
____
ÔÏÔÔ −x + y + 6 = 0
3. ÔÌÔ
ÔÔÔ −2x + 2y = 5
Ó
a.
ID: A
c.
no solutions
b.
infinite solutions
d.
(4, 0)
(4, –2)
3
Name: ________________________
ID: A
Solve the system of inequalities by graphing.
____
ÏÔÔ
Ô y ≤ −4x + 1
4. ÔÌÔ
ÔÔÔ y > 2x − 3
Ó
a.
b.
c.
d.
4
Name: ________________________
____
ÔÏÔÔ x ≥ −2
5. ÔÌÔ
ÔÔÔ y > 3
Ó
a.
b.
ID: A
c.
d.
5
Name: ________________________
____
ÔÏÔÔ y ≥ −3x + 1
ÔÔÔ
6. ÔÌÔ
ÔÔ y ≤ 1 x + 3
ÔÔÔ
3
Ó
a.
b.
ID: A
c.
d.
6
Name: ________________________
ID: A
Find the slope of the line.
____
7.
a.
1
4
b.
−4
c.
4
1
4
d.
−
d.
−
d.
5
;6
6
Find the slope of the line that passes through the pair of points.
____
8. (5, 6), (9, 0)
3
a.
2
b.
2
3
2
3
c.
−
c.
–6;
3
2
Find the slope and y-intercept of the line.
____
9.
6
y= x–6
5
6
a.
; –6
5
b.
6;
6
5
6
5
Write an equation of a line with the given slope and y-intercept.
____ 10. m = 4, b = 5
a. y = 4x – 5
b. y = 4x + 5
c.
d.
y = 5x + 4
y = –4x + 5
c.
d.
x-intercept is 2; y-intercept is 3.
x-intercept is –9; y-intercept is –6.
Find the x- and y-intercept of the line.
____ 11. 2x + 3y = –18
a. x-intercept is 18; y-intercept is 18.
b. x-intercept is –6; y-intercept is –9.
7
Name: ________________________
ID: A
Write an equation in point-slope form for the line through the given point with the given slope.
3
5
3
y+6= x−4
5
3
y − 6 = (x + 4)
5
c.
3
2
3
y + 1 = − (x – 4)
2
3
y – 4 = − (x + 1)
2
c.
____ 12. (4, –6); m =
a.
b.
d.
3
(x − 4)
5
3
y − 4 = (x + 6)
5
y+6=
____ 13. (–1, 4); m = −
a.
b.
d.
3
y + 4 = − (x – 1)
2
3
y + 4 = − (x + 1)
2
Write an equation for the line that is parallel to the given line and that passes through the given point.
____ 14. y = –5x + 3; (–6, 3)
a. y = –5x + 27
b. y = –5x – 27
c.
d.
y = 5x – 9
y = –5x + 9
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
____ 15. 7x – 4y = 4
x – 4y = 3
a. perpendicular
1
x–4
4
24x + 6y = –9
a. parallel
b.
parallel
c.
neither
b.
neither
c.
perpendicular
____ 16. y =
Simplify the difference.
____ 17. (–7x – 5x4 + 5) – (–7x4 – 5 – 9x)
a. 2x4 + 2x + 8
b. –14x4 + 10x + 10
c.
d.
–14x4 – 10x + 10
2x4 + 2x + 10
____ 18. (3w2 – 8w – 7) – (5w2 + 5w – 2)
a. –2w2 – 3w – 9
b. 8w2 + 13w + 5
c.
d.
8w2 – 3w – 9
–2w2 – 13w – 5
c.
d.
8u3 + 2u2 – 5u + 16
16 – 5u + 2u2 + 8 u3
____ 19. Simplify the sum.
(3u3 + 2u2 + 8) + (5u3 – 5u + 8)
a.
b.
–2u3 – 5u2 + 2u – 16
–2u3 + 2u2 – 5u + 16
8
Name: ________________________
ID: A
Simplify the product.
____ 20. 5a2(3a4 + 3b)
a. 8a4 + 8ab
b. 15a8 + 3b
c.
d.
9
15a6 + 15a2b
8a6 + 15a2b
ID: A
Chapter 5 Test
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
D
A
A
B
A
B
D
D
A
B
D
C
B
B
C
C
D
D
C
C
1
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