Review for Ch. 2 and 3 Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
1) 14x - 7 = 11
1) _______
A)
B)
C)
D)
2) 5(x + 5) = (5x + 25)
A) {All real numbers}
C) {50}
B) ∅
D) {0}
2) _______
3) 3m + 7 + 5(2m - 3) = 3(m + 3)
A)
B)
C)
D)
4) -[8x + (2x + 7)] = 1 - (9x + 3)
A)
B)
C)
D)
3) _______
4) _______
5)
5) _______
-5=1
A) {16}
B) {-24}
C) {24}
D) {-16}
6)
6) _______
- =4
A) {-120}
B) {60}
C) {120}
D) {-60}
7)
7) _______
=
A) {-4}
B) {4}
C) {3}
D) {-12}
8)
8) _______
+
=-
A)
B)
C)
D)
Solve the equation for the specified variable. Use the distributive property to factor as necessary.
9) 5s + 5p = tp - 5 for p
A)
B)
p=
or p =
C)
p=
or p =
p=
or p =
9) _______
D)
p=
or p =
10)
10) ______
w=
A)
for y
B)
y=
or y =
C)
y=
or y =
y=
or y =
D)
y=
or y =
Solve the equation for y.
11) 6x - 7y = 2
A)
11) ______
B)
y=
, or y =
y=
C)
, or y =
D)
y=
, or y =
y=
, or y =
Solve the problem.
12) Find the simple interest if $3800 is borrowed at 14.9% for 6 months
A) $28,310.00
B) $1132.40
C) $283.10
12) ______
D) $127.52
13) A printer priced at $581 is sold for $411. What was the percent of price reduction? Round to the
nearest tenth of a percent, if necessary.
A) 29.3%
B) 70.7%
C) 341.8%
D) 141.4%
Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
14) 66 greater than a number
A) 66x
B) x - 66
C) x + 66
D) 66
15) 58 less than a number
A) x + 58
B) 58x
C) 58 - x
D) x - 58
16) 4 times a number
A) 4x
B) 4 - x
C) 4 + x
D)
13) ______
14) ______
15) ______
16) ______
Solve the problem.
17) Find the length of a rectangular lot with a perimeter of 124 m if the length is 8 m more than the
width.
A) 62 m
B) 35 m
C) 27 m
D) 70 m
17) ______
18) A square plywood platform has a perimeter which is 11 times the length of a side, decreased by
21. Find the length of a side.
A) 3
B) 1
C) 7
D) 10
18) ______
19) Gloria collected 21 fantail and comet goldfish. There were 5 fewer fantails than comets. How
many comets did Gloria have?
A) 16 comets
B) 9 comets
C) 8 comets
D) 13 comets
19) ______
20) A biologist collected 267 fern and moss samples. There were 83 fewer ferns than moss samples.
How many fern samples did the biologist collect?
A) 129 fern samples
B) 92 fern samples
C) 184 fern samples
D) 175 fern samples
20) ______
Solve the percent problem.
21) If Gloria received a 8 percent raise and is now making $24,840 a year, what was her salary before
the raise?
A) $23,000
B) $22,840
C) $24,000
D) $23,840
22) At the end of the day, a storekeeper had $1030 in the cash register, counting both the sale of
goods and the sales tax of 3%. Find the amount that is the tax.
A) $35
B) $25
C) $20
D) $30
21) ______
22) ______
Write an inequality statement involving the letter x that describes the given graph or interval notation.
23) (4, ∞)
23) ______
A) x ≥ 4
B) x ≤ 4
C) x > 4
D) x < 4
24)
24) ______
A) x > 2
B) x < 2
C) x ≥ 2
D) x ≤ 2
25)
25) ______
A) x ≤ 7
26) (-∞, -2)
A) x > -2
27) (-2, 2)
A) -2 ≤ x < 2
B) x ≥ 7
C) x > 7
D) x < 7
26) ______
B) x < -2
C) x ≤ -2
D) x ≥ -2
27) ______
B) -2 ≤ x ≤ 2
C) -2 < x ≤ 2
D) -2 < x < 2
28)
28) ______
A) -5 < x ≤ -1
29) [-1, 3)
A) -1 < x ≤ 3
B) -5 ≤ x < -1
C) -5 ≤ x ≤ -1
D) -5 < x < -1
B) -1 < x < 3
C) -1 ≤ x < 3
D) -1 ≤ x ≤ 3
29) ______
Solve the inequality. Give the solution set in both interval and graph forms.
30) 20 a + 24 > 4(4 a + 8)
A) (-∞, 2)
B) (20, ∞)
C) (2, ∞)
D) (-∞, 20)
30) ______
31) -2(4 x + 10) < -10 x - 6
31) ______
A) (-∞, 7)
B) (-∞, -10)
C) (7, ∞)
D) (-10, ∞)
32) -7 < x + 1 ≤ 7
32) ______
A) [-6, 8)
B) (-8, 6]
C) [-8, 6)
D) (-6, 8]
33) -4 < 4 y ≤ 12
33) ______
A) [-1, 3]
B) (-1, 3]
C) [-1, 3)
D) (-1, 3)
34) -5 < 2 b + 5 ≤ 3
34) ______
A) (-5, -1)
B) [-5, -1)
C) [-5, -1]
D) (-5, -1]
Solve the equation.
35)
=4
A) {4, -4}
36)
37)
C) {16}
D) {-4}
36) ______
= 16
A) {2}
=0
A) {9}
38)
35) ______
B) {4}
B) {- 2, 0}
C) {- 2, 2}
B) (-∞, -9] ∪ [9, ∞)
C) ∅
D) {0, 2}
37) ______
D) {-9}
38) ______
=6
A)
B)
Solve the inequality and graph the solution set.
39)
<4
C)
D) ∅
39) ______
A) (-1, -7)
B) (-1, 7)
C) (1, 7)
D) ∅
40)
>1
A) (-1, ∞)
B) (-∞, -1) ∪ (1, ∞)
C) (1, ∞)
D) (-1, 1)
40) ______
41)
41) ______
≤ 10
A) (-∞, -10]
B) (-∞, 10]
C) (-∞, -10] ∪ [10, ∞)
D) [-10, 10]
42)
42) ______
>3
A) (1, 7)
B) (-∞, 1) ∪ (7, ∞)
C) ∅
D) (7, ∞)
43)
43) ______
<4
A)
∪
B) (-∞, 9)
C)
D)
44)
44) ______
≥7
A)
∪
B)
C)
D)
∪
Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an
inequality is given, then write the solution set in interval notation.
45)
45) ______
+ 3 = 15
46)
A) {- 12, 12}
B) {- 15}
C) {12}
D) {- 15, 15}
-5=8
A) {12, 15}
B) {13, -13}
C) {10}
D) {10, -16}
47)
46) ______
47) ______
+ 7 < 12
A) ∅
B)
C)
D)
∪
Solve the inequality and graph the solution set.
48)
≥8
A) [-4, ∞)
B) [-4, 12]
C) (-∞, -4] ∪ [12, ∞)
48) ______
D) [12, ∞)
Name the quadrant, if any, in which the point is located.
49) (-7, 9)
A) III
B) II
50) (-6, 0)
A) II
49) ______
C) I
D) None
50) ______
B) III
C) None
D) IV
Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer.
51) (0, 2)
A) C
B) B
C) K
D) F
51) ______
52) (-5, -4)
A) L
B) G
C) A
D) I
53) (3, 5)
A) K
B) I
C) D
D) L
52) ______
53) ______
Complete the table for the equation.
54) x + y = 8
A) 5; 8; 0
54) ______
B) 15; 0; 8
C) 3; 2; 8
D) 3; 0; 8
55) y = -x - 11
A) -5; 0; -11
55) ______
B) -8; 0; -11
C) -5; -8; -11
D) -8; 0; 0
56) 3x + y = 22
A) 7; -44; 22
56) ______
B) 22; 22; 22
C) 22; -44; -44
D) 7; -44; -44
57) -2x - 3y = -9
A) 0; 3; 5
57) ______
B) 0; -5; 3
C) 0; -3; -5
D) 0; 5; 3
Graph the equation by determining the missing values needed to plot the ordered pairs.
58) y - x = 1; (3, ), ( , 8), (4, )
A)
C)
B)
58) ______
D)
59) x + 2y = 4; (0, ), (
A)
C)
, 0), (1,
), (
, 1)
59) ______
B)
D)
60) 5x + 4y = 20; (0, ), (
A)
C)
, 0), (3,
), (
, 1)
60) ______
B)
D)
Find the x- and y-intercepts. Then graph the equation.
61) 8y - 2x = -4
A)
61) ______
B)
; (0, 2)
C)
(2, 0);
(-2, 0);
D)
;
(0,
-2)
62) y = -1
A) (-1, 0); none
C) None; (0, -1)
62) ______
B) None; (0, -1)
D)
(1,
0);
no
ne
Find the midpoint of the segment with the given endpoints.
63) (5, 3) and (2, 7)
A)
B)
C)
64) (7, -8) and (-8, 6)
A)
65) (-6, 9) and (7, 4)
A)
63) ______
D)
64) ______
B)
C)
D)
65) ______
B)
C)
D)
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.
66) (-9, -8) and (4, 9)
66) ______
A)
B)
C)
D)
-
; falls
67) (-8, -5) and (6, -7)
A)
-
; falls
68) (6, -9) and (6, 9)
A) Undefined; vertical
C) -18; falls
; rises
-
; falls
; rises
67) ______
B) 7; rises
C)
D) - 7; falls
; rises
68) ______
B) 0; horizontal
D) 18; rises
Provide an appropriate response.
69) Identify whether the slope is positive, negative, zero, or undefined.
69)
A) Zero
___
___
B) Undefined
C) Positive
D) Negative
70) Identify whether the slope is positive, negative, zero, or undefined.
A) Positive
B) Undefined
C) Zero
70) ______
D) Negative
71) Identify whether the slope is positive, negative, zero, or undefined.
A) Undefined
B) Positive
C) Negative
72) Identify whether the slope is positive, negative, zero, or undefined.
71) ______
D) Zero
72)
A) Undefined
___
___
B) Negative
C) Zero
D) Positive
Find the slope of the line.
73)
A) 2
73) ______
B)
C) - 2
D)
74)
74) ______
A) 1
75)
B) -1
C) -2
D) 2
75)
A)
___
___
B) 4
C) - 4
D)
-
76)
76) ______
A) Undefined
B) 1
C) 0
D)
77)
77) ______
A) 2
B) 0
Find the slope of the line and sketch the graph.
78) y + 2 = 0
C) -2
D) Undefined
78)
___
___
A)
B) Slope: -2
Slope: -
C) Slope: 0
79) y = 2x
D) Slope: Undefined
79)
___
___
A) Slope: -2
B) Slope: 0
C)
D) Slope: 2
Slope: