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Practice Exam 4
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the slope of the line going through the given pair of points.
1) (1, 5) and (8, 9)
1
7
A)
B)
C) 4
4
4
2) (-2, -7) and (-2, -6)
D)
4
7
2)
B) - 5
1
C) 5
D) 1
A) 8
B) 5
1
C) 5
1
D)
5
4) 3x - 5y = -42
5
A) 3
3
B)
5
42
C)
5
3
D) 5
A) Undefined
Find the slope of the line.
3) y = 5x + 8
Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
5) 3x - 6y = -2
18x + 9y = -2
A) Perpendicular
B) Neither
C) Parallel
6) 6x + 2y = 8
12x + 4y = 17
A) Perpendicular
1)
3)
4)
5)
6)
B) Neither
C) Parallel
Graph the equation by using the slope and y-intercept.
7) y = 4x - 4
7)
1
A)
B)
C)
D)
2
8) 2x + y = -4
8)
A)
B)
C)
D)
Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.
4
9) (3, 2); m = 9)
9
A) y = -
9
3
x4
10
B) y = -
4
3
x+
9
10
C) y = -
10) (3, 3); m = - 6
A) y = -6x - 21
4
10
x+
9
3
1
C) y = - x + 21
6
B) y = -6x + 21
3
D) y = -
4
10
x9
3
1
D) y = -6x +
21
10)
Write the slope-intercept form of the equation for the line passing through the given pair of points.
11) (-3, 0) and (0, -7)
7
3
7
3
A) y = x - 7
B) y = - x - 7
C) y = - x - 7
D) y = x - 7
3
7
3
7
12) (-6, 0) and (-2, 7)
7
21
A) y = x +
4
2
13) (-2, -6) and (9, 2)
4
22
A) y = x 7
7
B) y = -
2
25
x+
3
3
C) y = -
8
50
xB) y = 11
11
7
21
x+
4
2
8
50
xC) y =
11
11
4
D) y =
2
25
x+
3
3
4
22
D) y = - x 7
7
11)
12)
13)
Graph the linear inequality.
14) 4x + y 6
14)
A)
B)
C)
D)
5
15) x + 3y -3
15)
A)
B)
C)
D)
Decide whether or not the ordered pair is a solution of the system.
16) (-4, -6)
x + y = -10
x-y=2
A) No
B) Yes
17) (4, -2)
x + y = -6
x - y = -2
A) No
16)
17)
B) Yes
6
Solve the system by graphing.
18) 5x + y = -14
x + 6y = 32
A) {(4, 6)}
18)
B) {(-4, 6)}
C) {(-2, -4)}
D) {(-4, -5)}
19) 3x - 2y = 11
2x + 3y = 16
A) {(3, 10)}
19)
B) {(2, 5)}
C) {(5, 2)}
D)
Does the system have one solution, no solution, or an infinite number of solutions?
20) x + y = 6
x+ y=3
A) One
B) No Solution
C) Infinite number
21) 3x - 9y = 6
1
2
y= x3
3
A) One
22) 2x - y = 3
x + 5y = 18
A) Infinite number
Solve by the substitution method.
23) x - 7y = 51
5x - 8y = 66
A) {(-2, -6)}
20)
21)
B) Infinite number
C) No Solution
22)
B) One
C) No Solution
23)
B) {(2, -7)}
C) {(1, -6)}
7
D)
24) x - 5y = -5
-2x - 4y = -4
A) {(1, 0)}
24)
B) {(0, 1)}
C) {(-1, 0)}
Solve the system by the elimination method.
25) x + 7y = 62
6x + 6y = 48
A) {(-2, 10)}
B) {(-1, 9)}
26) x - 5y = -10
-7x - 4y = -8
A) {(1, 1)}
27) x + 8y = -2
6x + 9y = -12
A) {(-1, -2)}
D)
25)
C) {(1, 10)}
D)
26)
B) {(-2, 0)}
C) {(0, 2)}
D)
27)
B) {(-1, -1)}
C) {(-2, 0)}
8
D)
Answer Key
Testname: MAT1033_PE3
1)
2)
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D
A
B
B
A
C
D
B
C
B
C
A
C
D
A
B
A
B
C
B
B
B
B
B
B
C
C
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