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Math 100
Exam 1 Review
Name___________________________________
_____________________________________________________________________________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Answer the question as instructed.
1) Which of the following statements is false?
A) 14 14
B) 14 14
1)
C) 14 < 14
D) 14 = 14
Objective: (1.1) *Know Concepts: Exponents/Inequalities
Decide if the given number is a solution to the given equation.
2) 6m + 3 = 29; 4
A) No
B) Yes
2)
Objective: (1.2) Determine Whether Given Number is Solution of Equation
Decide if the statement is true or false.
3) - -5 - -7
A) False
3)
B) True
Objective: (1.3) Determine Truth of Inequality
Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property.
7 4
=1
4)
4)
4 7
A) Associative
B) Commutative
C) Inverse
D) Identity
C) Distributive
D) Associative
C) Associative
D) Identity
C) Identity
D) Inverse
Objective: (1.6) Identify Property of Real Numbers
5) (6 · 9) · 3 = 6 · (9 · 3)
A) Identity
B) Commutative
5)
Objective: (1.6) Identify Property of Real Numbers
6) (1 + 4) + 2 = (4 + 1) + 2
A) Distributive
B) Commutative
6)
Objective: (1.6) Identify Property of Real Numbers
7) 8 · 1 = 8
A) Commutative
B) Distributive
7)
Objective: (1.6) Identify Property of Real Numbers
Evaluate the expression, given x = -2, y = 3, and a = -4.
1
3
1
8) x + y - a
6
8
6
A) -
1
6
B)
19
6
Objective: (1.5) Evaluate Signed Number Expressions
8)
C)
19
36
D)
35
36
Find the difference.
1 1
4
- - -6
9) - 3 3
3
9)
A) - 8
B) 4
C) -
16
3
D)
20
3
Objective: (1.4) Subtract Real Numbers (Fractions)
Find the measure of each marked angle.
10)
(x + 2)°
10)
(4x - 142)°
A) 64° and 116°
B) 68° and 112°
C) 66° and 114°
D) 66° and 24°
Objective: (2.5) Find Measure of Angle
Find the value of the expression.
2 8
9
+
·
11)
3 9 11
A)
23
99
11)
B)
126
11
C)
14
11
D)
23
29
Objective: (1.1) Use Order of Operations (Grouping)
Graph the numbers on a number line.
2
2
12) - 5 , -3, -1, 1
3
3
12)
A)
B)
C)
D)
Objective: (1.3) Graph Numbers on Number Line
List the numbers from the set that are of the type indicated.
13) {10, 8, -10, 0, 0.24}
Irrational numbers
A) 8, 0.24
B) 8, 0, 0.24
13)
C)
8
D)
8, -10
Objective: (1.3) List Numbers in Specified Subset of Real Numbers
Provide an appropriate response.
14) Tell whether you would use the addition or multiplication property of equality to solve the
equation: 2a = -10.
A) Multiplication property
B) Addition property
Objective: (2.2) *Know Concepts: Multiplication Property of Equality
14)
15) The cube of a negative number is negative.
A) True
15)
B) False
Objective: (1.5) *Know Concepts: Multiplication
Simplify the expression.
16) -2(4y + 2) - (2y + 8) - 3y + 10
A) -13y + 6
B) 13y + 10
C) -13y - 2
D) -9y + 14
16)
Objective: (1.7) Simplify Expression By Combining Like Terms II
17) -
4
1
(z - 14) - z
3
6
A)
3
56
z+
2
3
17)
B) -
3
56
z+
2
3
C)
7
z + 14
6
D)
3
56
z2
3
Objective: (1.7) Simplify Expression By Combining Like Terms II
Solve the equation.
4r - 3 r
=
18)
9
8
A)
8
23
18)
B)
23
24
C)
24
23
D)
1
2
Objective: (2.6) Solve Proportion
19) 0.39(x + 60) + 0.38(x + 50) = -42.3
A) {110}
B) {10}
C) {-110}
D) {-10}
19)
Objective: (2.3) Solve Equations (Combinations)
20)
1
1
(10x - 15) = (9x - 6)
5
3
A)
1
5
20)
B) {-5}
C) {-1}
D) {1}
Objective: (2.3) Solve Equations (Combinations)
21) 5(x + 3) - (5x + 15) = 0
A) {0}
C) { }
21)
B) {all real numbers}
D) {3}
Objective: (2.3) Solve Equations (Multi-Step/Parentheses)
22) 10b - 7 = 9 + 5b
15
A)
2
16
B)
5
5
C) 16
5
D)
16
C) {30}
1
D)
5
22)
Objective: (2.3) Solve Equations (Multi-Step/Parentheses)
23) 4x - 2x + 3x = 35
A) {7}
1
B)
7
Objective: (2.2) Solve Equation (Collect Terms First)
23)
24) -
1
a = -1
7
A) {7}
24)
B) {-9}
C) {-8}
D) {0}
Objective: (2.2) Solve Equation Using the Multiplication Property
25) x - 4 = 9
A) {-13}
B) {-5}
C) {5}
25)
D) {13}
Objective: (2.1) Solve Equation Using the Addition Property
Solve the equation. First simplify the expression by combining like terms.
26) 3(k - 6) - (2k - 5) = 7
A) {20}
B) {- 20}
C) {- 8}
D) {- 6}
26)
Objective: (2.1) Solve Equation (Simplify Both Sides First)
Solve the formula for the specified variable.
nE
for n
27) I =
nr + R
A) n = IR(Ir - E)
B) n =
27)
-IR
Ir - E
C) n =
-R
Ir - E
D) n =
IR
Ir + E
Objective: (2.5) Solve Formula for Variable
Solve the inequality. Write the solution set in interval notation and graph it.
28) -10r + 6 -2(4r - 11)
A) (- , -8]
B) (- , -8)
C) (-8, )
D) [-8, )
Objective: (2.8) Solve and Graph Inequality (Multi-Step)
28)
29) -8n - 5 > -9n - 17
29)
A) (-12, )
B) (
, -22]
C) (
, -12)
D) [-22, )
Objective: (2.8) Solve Inequality and Graph (Addition Property)
Solve the problem.
30) Carla works for $5 an hour. A total of 27% of her salary is deducted for taxes and insurance. How
many hours must she work to take home $1095?
A) 280 hr
B) 300 hr
C) 400 hr
D) 350 hr
30)
Objective: (2.7) Solve Apps: Linear Equations
31) From a point on a straight road, two cars are driven in opposite directions, one at 60 miles per hour
and the other at 58 miles per hour. In how many hours will they be 472 miles apart?
A) 3 hours
B) 5 hours
C) 4 hours
D) Not enough information
31)
Objective: (2.7) Solve Apps: d = rt
32) In a chemistry class, 3 liters of a 4% silver iodide solution must be mixed with a 10% solution to get
a 6% solution. How many liters of the 10% solution are needed?
A) 2.5 L
B) 0.5 L
C) 3.0 L
D) 1.5 L
32)
Objective: (2.7) Solve Apps: Mixtures
33) Find the missing length in the similar triangles.
A) x = 12
B) x = 11
33)
C) x = 16
D) x = 4
Objective: (2.6) Solve Apps: Similar Triangles
34) The ratio of the distances a pitching wedge and an 8-iron will drive a golf ball is 4 to 5. If a golfer
averages 92 yards with a pitching wedge, how far should she average with an 8-iron?
A) 115 yd
B) 83 yd
C) 101 yd
D) 74 yd
Objective: (2.6) Solve Apps: Proportion
34)
35) Find the measure of an angle whose supplement is 6 times the measure of its complement.
A) 36°
B) 15°
C) 72°
D) 30°
35)
Objective: (2.4) Solve Apps: Angles
Solve the problem. Be sure to define a variable, write an equation, and then solve the equation.
36) On August 10, the Eblin family received 19 pieces of mail, consisting of magazines, bills, letters,
and ads. If they received the same number of magazines as letters, three more bills than letters, and
five more ads than bills, how many magazines did they receive?
A) 10 magazines
B) 5 magazines
C) 2 magazines
D) 3 magazines
36)
Objective: (2.4) Solve Apps: General
Solve the problem.
37) The stock market gained 49 points on Tuesday and lost 29 points on Wednesday. Find the
difference between these changes.
A) 78 points
B) 20 points
C) -20 points
D) -78 points
37)
Objective: (1.4) Solve Apps: Real Numbers
Tell whether the statement is true or false.
38) The absolute value of any number is positive.
A) True
B) False
38)
Objective: (1.3) Judge Truth of Real Number Statements
39) Every whole number is a real number.
A) True
B) False
39)
Objective: (1.3) Judge Truth of Real Number Statements
Use a formula to solve the problem.
40) A rectangular Persian carpet has a perimeter of 216 inches. The length of the carpet is 18 inches
more than the width. What are the dimensions of the carpet?
A) 45 inches by 63 inches
B) 63 inches by 81 inches
C) 90 inches by 108 inches
D) 99 inches by 117 inches
40)
Objective: (2.5) Solve Apps: Geometry Formulas
Write a numerical expression for the phrase and simplify it.
41) 17 less than the difference between 8 and -3
A) [8 - (-3)] - 17; -6
C) (8 - 3) - 17; -12
B) 17 - [8 - (-3)]; 6
D) [8 - (-3)] - 17; -12
41)
Objective: (1.4) Convert Phrase to Numerical Expression and Simplify
Write the phrase as a mathematical expression. Use x to represent the number. Combine like terms if possible.
42) A number multiplied by -6, subtracted from the sum of 16 and eight times the number
42)
A) 6x - (16 + 8x); -2x - 16
B) (16 + 8x) + (-6)x; 16 + 2x
C) (16 + 8x) - (-6)x; 16 + 14x
D) 6x - 24
Objective: (1.7) Convert Phrase into Mathematical Expression
Write the statement in symbols, using x as the variable, and find the solution by guessing or by using trial and error. All
solutions come from the list of integers between -12 and 12 inclusive.
43) The quotient of a number and 3 is -4.
43)
x
x
1
1
-12
= 3; -12
= 3; -4
A)
B) = -4; -12
C) 3x = - ; D)
3
4
12
x
-4
Objective: (1.5) Write Statement In Symbols and Solve
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
x(y + 9)
x = 3, y = 2
44)
11(x - y)
44)
Objective: (1.2) Evaluate Two-Variable Expression
Find the average of the numbers.
45) 11, 6, 1, 8, 9
45)
Objective: (1.5) Find Average of a Group of Numbers
Find the opposite (additive inverse) of the number.
46) -21
46)
Objective: (1.3) Find Opposite (Additive Inverse) of Number
Find the product.
47) 25 · (-2) · 71 · 2
47)
Objective: (1.6) Simplify Product Using Properties of Real Numbers
48) -5 · 4 · 67 · (-5)
48)
Objective: (1.6) Simplify Product Using Properties of Real Numbers
Find the sum.
49) 1334 + 1216 + (-34) + (-16)
49)
Objective: (1.6) Simplify Sum Using Properties of Real Numbers
50) 24 + [(-14) + (-7)]
50)
Objective: (1.4) Add Three or More Real Numbers
Find the value of the expression.
51) 2[4 + 8(22 )]
51)
Objective: (1.1) Use Order of Operations (Grouping)
Give a number that satisfies the given condition.
52) An integer greater than -6.3 and less than -5.3
52)
Objective: (1.3) Find a Number Satisfying Conditions
Simplify by finding the absolute value.
53) - -19
Objective: (1.3) Evaluate Absolute Value Expression
53)
Simplify.
54) 6 3 ÷ 9 - 7
54)
Objective: (1.1) Use Order of Operations
Solve the problem.
55) 39% of what number is 68?
55)
Objective: (2.6) Solve Apps: Percent
56) If the first and third of three consecutive odd integers are added, the result is 69 less than
five times the second integer. Find the third integer.
56)
Objective: (2.4) Solve Apps: Consecutive Integers
Solve the problem. Be sure to define a variable, write an equation, and then solve the equation.
57) One half of a number is 3 more than one-sixth the same number. What is the number?
57)
Objective: (2.4) Solve Apps: Numbers
Use order of operations to simplify the expression.
58) -2 - 8 + (-4) + (-6)
Objective: (1.4) Use Order of Operations
58)