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First Quarter Exam Review
Name ______________________________
To which sets of numbers does the number belong?
1.
2.
3.
A.
B.
C.
D.
whole numbers, integers, rational numbers, real numbers
irrational numbers, real numbers
integers, rational numbers, real numbers
rational numbers, irrational numbers
A.
B.
C.
D.
whole numbers, integers, real numbers
rational numbers, real numbers
natural numbers, whole numbers, integers, rational numbers, real numbers
natural numbers, whole numbers, integers
A.
B.
C.
D.
integers, rational numbers, real numbers
rational numbers, real numbers
rational numbers, irrational numbers, real numbers
irrational numbers, real numbers
19

2
3
Graph the number on a number line.
4.
5.
Insert <, >, or = to make the sentence true.
6.
7.
9.
10.
11.
Simplify
8.
.
Evaluate the expression for the given value of the variable(s).
12.
When
A. 37
and
B. 13
.
C. –37
D. –13
17.42
3(3ℎ− 3)
13.
−4 + ℎ
A.
−
When h = 2.
19
2
B.
−
9
2
C.
14.
−
21
2
D.
−
21
4
When b = 3.
B. –38
A. 70
C. –62
D. –2
C. –13
D. 12
C. –19
D. –7
When x = –2.
15.
A. 17
B. 29
When x = –2.
16.
A. 14
B. 13
Simplify by combining like terms.
17.
18.
Solve the equation.
19.
A.
20.
x
2
y=
B.
1
𝑦= −
6
x
x
4
8
𝑥=
1
2
13
2
C. 𝑦 = 1
D.
y= 
2
13
+ + =7
A.
B.
x =1
C.
x=8
D.
7
D.
𝑥=−
21.
A.
𝑥=
7
4
B.
𝑥=
34
7
C.
x=
34
22.
A. x = 1 or x = 0
C. x = 1 or x = 2
B.
D.
x=
1
2
or x = 0
x = 1 or x =
1
2
x=
4
7
1
2
23.
A.
C.
x=
B.
22
3
or x = 8
x=
22
3
or x = −
14
3
x=
22
3
or x = 6
D.
x = 8 or x = 6
Solve the equation or formula for the indicated variable.
24.
, for t
A.
25.
B.
C.
D.
, for E
A.
𝐸 = 2𝑈 − 𝑇
B.
𝐸=
𝑇
2𝑈
C.
𝐸=
2𝑈
𝑇
D.
𝐸 = 2𝑇𝑈
Solve for x. State any restrictions on the variables.
26.
A.
B.
; a + b + 11≠ 0
; a ≠ 0 and b ≠ 0
C.
D.
;a+b≠0
;a+b≠0
27.
A.
B.
28.
29.
; -5 + 8a ≠ 0
; c + ab ≠ 0
C.
D.
; ab – c ≠ 0
c – ab ≠ 0
A rectangle is 5 times as long as it is wide. The perimeter is 100 cm. Find the dimensions of the rectangle.
Round to the nearest tenth if necessary.
A. 20 cm by 100 cm
C. 8.3 cm by 91.7 cm
B. 16.7 cm by 41.7 cm
D. 8.3 cm by 41.7 cm
The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is
24 cm?
A. 6 cm, 8 cm, and 10 cm
C. 5.1 cm, 6.9 cm, and 8.6 cm
B. 5 cm, 6 cm, and 7 cm
D. 2 cm, 6 cm, and 8.6 cm
Solve the inequality. Graph the solution set.
30.
4 + 5k  –1
A. k  –1
–8 –6 –4 –2
B.
k
0
2
4
6
D.
5
0
2
4
6
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
3
5
–8 –6 –4 –2
8
C.
1
r
0
2
4
6
–8 –6 –4 –2
8
B.
D.
19
4
r
–8 –6 –4 –2
19
4
r
4
–8 –6 –4 –2
0
2
4
6
1
r
4
–8 –6 –4 –2
8
–3k – 6  –12
A. k  6
–8 –6 –4 –2
C. k  2
0
2
4
6
–8 –6 –4 –2
–8 –6 –4 –2
8
B. k  6
33.
k
0
4r + 9  10
A.
32.
–8 –6 –4 –2
8
3
–8 –6 –4 –2
31.
C. k  –1
D. k  2
0
2
4
6
–8 –6 –4 –2
8
3(2y – 4)  12
A.
C.
y
8
3
–8 –6 –4 –2
y
0
2
4
6
8
B. y  4
–8 –6 –4 –2
8
3
–8 –6 –4 –2
D. y  4
0
2
4
6
8
–8 –6 –4 –2
34.
2(3m – 4) + 6  –38
A.
C.
m −
20
3
m −
–8 –6 –4 –2
0
2
4
6
0
2
4
6
–8 –6 –4 –2
8
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
2(2b – 5) < –21 + 4b
A.
C.
b>
11
−8
b <−
–8 –6 –4 –2
0
2
4
6
11
8
–8 –6 –4 –2
8
B. no solutions
D. all real numbers
–8 –6 –4 –2
36.
0
D. m  –6
–8 –6 –4 –2
35.
–8 –6 –4 –2
8
B. m  –6
20
3
0
2
4
6
–8 –6 –4 –2
8
27 + 16b  4(4b + 4)
A. no solutions
C.
–8 –6 –4 –2
0
2
4
6
b
11
32
8
–8 –6 –4 –2
B.
b
D. all real numbers
11
32
–8 –6 –4 –2
–8 –6 –4 –2
0
2
4
6
8
Solve the compound inequality. Graph the solution set.
37.
9x + 14  41 and 4x – 11  5
C. x  3 and x  4
A.
x
55
9
or x  4
–8 –6 –4 –2
–8 –6 –4 –2
0
2
4
6
8
B.
D.
3
x  3 and x  − 2
–8 –6 –4 –2
x
0
2
4
6
8
55
9
3
or x  − 2
–8 –6 –4 –2
38.
6x – 2 < 4 or 10x + 13 > 63
A.
x<
1
3
or x >
C. x < 1 or x > 5
38
5
–8 –6 –4 –2
–8 –6 –4 –2
0
2
4
6
D.
3
−2
–8 –6 –4 –2
0
2
4
6
2
4
6
8
0
2
4
6
8
0
2
4
6
8
–8 –6 –4 –2
0
2
4
6
8
–20 –15 –10 –5
0
5
10 15 20
8
B.
x < 1 or x >
0
x<
1
3
or x > 5
–8 –6 –4 –2
8
39.
A. x ≥ -10 and x < 0
–8 –6 –4 –2
C. x ≥ -4 and x < 1
0
2
4
6
B. x ≥ -4 and x < 5
–8 –6 –4 –2
–8 –6 –4 –2
8
D. x ≥ -2 and x < 7
0
2
4
6
8
Solve the equation. Check for extraneous solutions.
40.
5|6 – 5x| = 15x – 35
Solve the inequality. Graph the solution.
41.
A.
C.
–20 –15 –10 –5
0
5
10 15 20
B.
D.
–20 –15 –10 –5
0
5
10 15 20
–40 –30 –20 –10 0
10 20 30 40
42.
A. x < -13 and x > 4
–20 –15 –10 –5
C.
0
5
–20 –15 –10 –5
10 15 20
B. x > -26 and x < 8
0
5
10 15 20
0
5
10 15 20
D. x > -13 and x < 4
–40 –30 –20 –10 0
–20 –15 –10 –5
10 20 30 40
43.
A.
x>
−
–6
B.
x< 
–6
5
9
and x <
–4
5
9
–2
or x >
–4
5
C.
4
9
0
x < − 3 or x > 0
2
4
6
–4
–2
0
2
4
6
0
2
4
6
D.
5
9
–2
–6
x>
0
2
4
6
−
–6
4
3
and x < 0
–4
–2
44.
Write the ordered pairs for the relation. Find the domain and range.
45.
Graph the relation. Find the domain and range.
46.
Make a mapping diagram for the relation.
{(–3, –1), (0, 6), (3, 3), (4, 0)}
Range
Domain
47.
48.
Use the vertical-line test to determine which graph represents a function.
A.
C.
B.
D.
For
A. 4
49.
,
.
B. 7
Suppose
Find the value of
A. 2
and
C. –1
D. –7
C.
D. 2
.
.
B. 6

2
3
50.
Graph the equation
52.
Graph the equation
.
.
51.
Graph the equation
.
53.
Graph the equation
.
54.
56.
Graph the equation
finding the intercepts.
Graph the equation
by
55.
by finding the intercepts.
Graph the equation
finding the intercepts.
by
57.
59.
1
Graph the equation y – 2 = (x – 1) by
2
finding the slope and a point on the line.
58.
Graph the equation y – 1 = -2(x + 7) by
finding the slope and a point on the line.
Graph the equation y + 1 = -3(x + 3) by finding the slope and a point on the line.
Find the slope of the line through the pair of points.
60.
𝐱𝟐 −𝐱𝟏
(–11, 1) and (–1, –4)
A. 2
B. 1
C.
2
61.
𝐲𝟐 −𝐲𝟏
𝐦=

1

5
D. 2
2
1 3
1
( , ) and (0 , )
4 5
2
A. 5
B. 2
2
5
C.
2
D.

2
5