Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
1) 18x + 9 = 13
11
A)
9
1)
2
B)
9
2) 2(y + 3) = 3(y - 3)
A) {-15}
2
C) - 9
1
D)
6
2)
3) -9x + 4(-3x - 6) = -41 - 4x
13
A)
5
B) {3}
C) {-3}
D) {15}
B) {1}
C)
65
17
3 - 7x
B) y = 5
-3 - 7x
C) y = 5
3)
Solve the equation for y.
4) -7x + 5y = 3
3 + 7x
A) y = 5
D) {-1}
4)
D) y = 35x + 15
5) 9x + 4y = 3
5)
A) y = -36x + 12
B) y = 3 - 9x
4
C) y = 3 + 9x
4
D) y = -3 - 9x
4
Solve the problem.
6) Gloria collected 23 fantail and comet goldfish. There were 15 fewer fantails than comets. How
many comets did Gloria have?
A) 8 comets
B) 19 comets
C) 17 comets
D) 4 comets
7) In a recent school board election, the two candidates for president received 3122 votes. The loser
received 866 fewer votes than the winner. How many votes did the winner receive?
A) 1128 votes
B) 2256 votes
C) 1430 votes
D) 1994 votes
Write an inequality statement involving the letter x that describes the given graph or interval notation.
8)
-7 -6 -5 -4 -3 -2 -1 0
A) x ≤ 7
1
2
3
4
5
6
7
B) x < 7
C) x ≥ 7
C‐1
D) x > 7
6)
7)
8)
Solve the inequality. Give the solution set in both interval and graph forms.
9) -4x - 2 > -5x + 9
9)
A) (11, ∞)
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18
6
7
8
9
10 11 12 13 14 15 16 17 18
2
3
4
5
6
7
8
9
10 11 12 13 14
2
3
4
5
6
7
8
9
10 11 12 13 14
B) (-∞, 11)
4
5
C) (7, ∞)
0
1
D) (-∞, 7)
0
1
10) -13 < 3x + 2 ≤ -1
10)
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
A) (-5, -1]
B) [-5, -1]
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
C) [-5, -1)
D) (-5, -1)
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Solve the inequality and graph the solution set.
11) x > 6
-14 -12 -10 -8
-6
-4
-2
0
2
4
11)
6
8
10
12 14
A) (-∞, -6) ∪ (6, ∞)
-14 -12 -10 -8
-6
-4
-2
0
2
4
6
8
10 12 14
-6
-4
-2
0
2
4
6
8
10 12 14
-6
-4
-2
0
2
4
6
8
10 12 14
-6
-4
-2
0
2
4
6
8
10 12 14
B) (-6, ∞)
-14 -12 -10 -8
C) (6, ∞)
-14 -12 -10 -8
D) (-6, 6)
-14 -12 -10 -8
C‐2
Solve the equation.
12) x = 9
A) {9, -9}
12)
B) {-9}
C) {9}
Name the quadrant, if any, in which the point is located.
13) (6, -12)
A) I
B) IV
D) {81}
13)
C) III
D) II
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
14) (8, -6) and (2, 7)
14)
6
13
13
6
A) - ; falls
B)
; rises
C) - ; falls
D)
; rises
13
6
6
13
Find the slope and the y -intercept of the line.
15) 5x + 7y = 31
7
7
A) Slope - ; y-intercept 0, 31
5
15)
5
31
B) Slope - ; y-intercept 0, 7
7
5
31
C) Slope ; y-intercept 0, 7
7
7
7
D) Slope ; y-intercept 0, 5
31
Decide whether the pair of lines is parallel, perpendicular, or neither.
16) 3x - 4y = -18 and 8x + 6y = -16
A) Parallel
B) Perpendicular
17) y + 2 = -4x and 4y = 16x - 20
A) Parallel
16)
C) Neither
17)
B) Perpendicular
C) Neither
Find an equation of the line that satisfies the conditions. Write the equation in standard form.
2
18) Through (0, 5); m = 3
A) 3x - 2y = -15
B) 2x - 3y = -15
C) 2x + 3y = -15
18)
D) 2x - 3y = 15
Find an equation of the line passing through the two points. Write the equation in standard form.
19) (-6, 0) and (0, 5)
A) 6x + 5y = -25
B) -6x - 5y = -25
C) -5x - 6y = -30
D) 5x - 6y = -30
19)
Decide whether the relation is a function.
20) {(-1, 1), (3, 1), (4, -8), (7, 5), (10, -6)}
A) Function
20)
B) Not a function
21) {(-9, 3), (-9, 5), (2, -9), (6, 9), (9, -6)}
A) Not a function
21)
B) Function
Decide whether the ordered pair is a solution of the given system.
22) x + y = -10
x - y = -2 ; (-6, -4)
A) No
B) Yes
C‐3
22)
Find the x- and y-intercepts. Then graph the equation.
23) 6x - 12y = 12
23)
y
10
5
-10
-5
5
10
x
-5
-10
A) (-1, 0); (0, 2)
B) (2, 0); (0, -1)
y
-10
y
10
10
5
5
-5
5
10
x
-10
-5
-5
-5
-10
-10
C) (-2, 0); (0, 1)
10
x
5
10
x
D) (1, 0); (0, -2)
y
-10
5
y
10
10
5
5
-5
5
10
x
-10
-5
-5
-5
-10
-10
Decide whether the ordered pair is a solution of the given system.
24) 4x + y = 23
3x + 4y = 14 ; (6, -1)
A) No
B) Yes
C‐4
24)
Find the slope of the line and sketch the graph.
25) 2x + 3y = 13
25)
y
10
5
-10
-5
5
10
x
-5
-10
A) Slope: 3
2
B) Slope: - 2
3
y
-10
C) Slope: y
10
10
5
5
-5
5
10
x
-10
-5
5
-5
-5
-10
-10
2
3
D) Slope: - y
10
x
3
2
y
10
15
5
10
-10
-5
5
10
x
5
-5
5
-10
C‐5
10
15
x
Decide whether the relation is a function, and give the domain and range.
26)
26)
y
10
5
-10
-5
5
x
10
-5
-10
A) Not a function; domain: (-∞, ∞) ; range: (-∞, ∞)
B) Function; domain: (-∞, -2] ; range: (-∞, ∞)
C) Function; domain: (-∞, ∞) ; range: (-∞, ∞)
D) Not a function; domain: (-∞, -2] ; range: (-∞, ∞)
Graph the linear function. Give the domain and range.
27) h(x) = 1
6
27)
y
4
2
-6
-4
-2
2
4
6 x
-2
-4
-6
A) Domain: (-∞, ∞)
Range: {1}
B) Domain: {1}
Range: (-∞, ∞)
y
-6
-4
y
6
6
4
4
2
2
-2
2
4
6
x
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
C‐6
4
6
x
Solve the system by graphing.
28) 2x + y = -13
x + 4y = -10
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
A) {(-6, -7)}
28)
y
1 2 3 4 5 6 7 x
B) {(-6, -1)}
C) {(6, -1)}
D) {(-7, 1)}
Solve the system by substitution. If the system is inconsistent or has dependent equations, say so.
29) 3y - 3 = -x
7x - 4y = -4
A) {(1, 1)}
B) {(1, 0)}
C) {(0, 1)}
D) {(0, 0)}
30) 5x - 2y = -1
x + 4y = 35
A) {(3, 8)}
29)
30)
B) {(3, 9)}
C) {(2, 9)}
C‐7
D) {(2, 8)}
Answer Key
Testname: MATH 0312
1) B
2) D
3) B
4) A
5) B
6) B
7) D
8) C
9) A
10) A
11) A
12) A
13) B
14) C
15) B
16) B
17) C
18) B
19) D
20) A
21) A
22) B
23) B
24) B
25) B
26) D
27) A
28) B
29) C
30) A
C‐8