The document is a mid-term exam featuring multiple-choice questions covering various mathematical concepts such as absolute value, inequalities, properties of operations, graphing equations, and solving equations. It requires students to select the best answer from provided options for each statement, forming a comprehensive assessment of their understanding of algebra. The questions range from finding equations of lines to solving inequalities and identifying set elements.

1. 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

2. 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

3. 4)
Name the property illustrated by the statement.
5) (-10) + 10 = 0
A) associative property of addition B) additive identity property
C) commutative property of addition D) additive inverse
property
5)
Tell whether the statement is true or false.
6) Every rational number is an integer.
A) True B) False
6)
Add or subtract as indicated.
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
B) associative property of addition
C) commutative property of multiplication
D) associative property of multiplication
8)

4. 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, ∞)

5. -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 = P 1 + r
n
nt
to find the amount requested.
15) A principal of $12,000 is invested in an account paying an

6. 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 17 180 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

7. -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

8. -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.

9. 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

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

11. 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

12. 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

13. 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

14. 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

15. 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

16. 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

17. 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

18. 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

19. 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

20. 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

21. 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

22. 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)

23. 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

24. 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

25. -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

26. -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

27. -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

28. -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 = 7x2; (3, 147)
A) No B) Yes
25)
9