# Math 012 mid-term exam | Mathematics homework help

Mid-Term Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Fill in the blank with one of the words or phrases listed below.
distributive real reciprocals absolute value opposite associative
inequality commutative whole algebraic expression exponent variable
1)The   of a number is the distance between the number and 0 on the number line.
A)opposite B)whole
C)absolute value D)exponent
1)
Find an equation of the line. Write the equation using function notation.
2)Through (1, -3); perpendicular to f(x) = -4x – 3
A)f(x) =
1
4
x -13
4
B)f(x) = -1
4
x -13
4
C)f(x) = -4x -13
4
D)f(x) = 4x -13
4
2)
Multiply or divide as indicated.
3)
60
-5
A)-22 B)12 C)-1
12
D)-12
3)
Write the sentence using mathematical symbols.
4)Two subtracted from x is 55.
A)2 + x = 55 B)2 – x = 55 C)x – 2 = 55 D)55 – 2 = x
4)
Name the property illustrated by the statement.
5)(-10) + 10 = 0
5)
Tell whether the statement is true or false.
6)Every rational number is an integer.
A)True B)False
6)
7)-5 – 12
A)7 B)-17 C)17 D)-7
7)
1
Name the property illustrated by the statement.
8)(1 + 8) + 6 = 1 + (8 + 6)
A)distributive property
C)commutative property of multiplication
D)associative property of multiplication
8)
Simplify the expression.
9)-(10v – 6) + 10(2v + 10)
A)30v + 16 B)-10v + 94 C)10v + 106 D)30v + 4
9)
Solve the equation.
10)5(x + 3) = 3[14 – 2(3 – x) + 10]
A)-39 B)3 C)-13 D)39
10)
List the elements of the set.
11)If A = {x|x is an odd integer} and B = {35, 37, 38, 40}, list the elements of A ∩ B.
A){35, 37}
B){x|x is an odd integer}
C){x|x is an odd integer or x = 38 or x = 40}
D){ }
11)
Solve the inequality. Graph the solution set.
12)|x| ≥ 4
A)(-∞, -4] ∪ [4, ∞)
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
B)[-4, 4]
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
C)[4, ∞)
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
D)(-∞, -4) ∪ (4, ∞)
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
12)
Solve.
13)The sum of three consecutive even integers is 336. Find the integers.
A)108, 110, 112 B)110, 112, 114 C)112, 114, 116 D)111, 112, 113
13)
2
Solve the inequality. Write your solution in interval notation.
14)x ≥ 4 or x ≥ -2
A)(-∞, ∞) B)[4, ∞)
C)[-2, ∞) D)(-∞, -2] ∪ [4, ∞)
14)
Use the formula A = P1 +
r
n
nt
to find the amount requested.
15)A principal of \$12,000 is invested in an account paying an annual interest rate of 4%. Find the
amount in the account after 3 years if the account is compounded quarterly.
A)\$1521.9 B)\$13,388.02 C)\$13,498.37 D)\$13,521.90
15)
Graph the solution set of the inequality and write it in interval notation.
16)
4
5
x ≥ 7
A)
28
5
, ∞
-2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
B)
35
4
, ∞
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
C)-∞,
4
35
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
D)-∞,
5
28
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
16)
Solve the inequality. Write your solution in interval notation.
17)|x – 8| – 4 < 5
A)(-1, 17) B)[-1, 17] C)∅ D)(-1, 5)
17)
3
Find the domain and the range of the relation. Use the vertical line test to determine whether the graph is the graph of
a function.
18)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
A)domain: [-6, ∞)
range: (-∞, ∞)
not a function
B)domain: (-∞, ∞)
range: [-6, ∞)
function
C)domain: (-∞, ∞)
range: [-6, ∞)
not a function
D)domain: [-6, ∞)
range: (-∞, ∞)
function
18)
4
Graph the equation.
19)-2x + 3y = 12
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
A)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
B)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
C)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
D)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
19)
Solve.
5
20)Arlice exercises between 1 and 7 hours each week and volunteers at most 5 hours per week. Let x
represent the hours exercising and y represent the hours volunteering. Write two inequalities
that model this situation and graph their intersection.
x -10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
x -10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
A)1 < x < 7; 0 ≤ y ≤ 5
x -10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
x -10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
B)1 < x < 7; 0 ≤ y ≤ 5
x -10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
x -10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
C)0 ≤ x ≤ 5; 1 < y < 7
x -10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
x -10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
D)0 ≤ x ≤ 5; 1 < y < 7
x -10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
x -10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
20)
6
Find the domain and the range of the relation. Use the vertical line test to determine whether the graph is the graph of
a function.
21)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
A)domain: (-∞, ∞)
range: (-∞, -4] ∪ [4, ∞)
not a function
B)domain: (-∞, -4] ∪ [4, ∞)
range: (-∞, ∞)
function
C)domain: (-∞, -4] ∪ [4, ∞)
range: (-∞, ∞)
not a function
D)domain: (-∞, ∞)
range: (-∞, -4] ∪ [4, ∞)
function
21)
Graph the function.
22)f(x) =  x + 4 + 1
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
A)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
B)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
22)
7
C)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
D)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
8
Graph the inequality.
23)The intersection of -x + 3y < -6 and x ≥ -4
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
A)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
B)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
C)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
D)
x -10 -5 5 10
y
10
5
-5
-10
x -10 -5 5 10
y
10
5
-5
-10
23)
Find the slope of the line that goes through the given points.
24)(6, 2), (-2, 2)
A)0 B)undefined C)-1
2
D)1
24)
Determine whether the ordered pair is a solution of the given equation.
25)y = 7x
2
; (3, 147)
A)No B)Yes
25)
9