Download Questions # 1- 53 Provide review for the Mid

Central Carolina Technical College
MAT 031 - Developmental Mathematics Basics Exam Review
Questions # 1- 53 Provide review for the Mid-Term
Questions # 1-106 Provide review for the Final
SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.
Subtract. Check by adding.
6) 9858 - 354
Objective: (1.4) Subtract Whole Numbers
Determine the place value of the digit 3 in the whole number.
1) 403,681,295
Objective: (1.2) Find the Place Value of a Digit in a Whole
Number
7) 70,000 - 24,917
Objective: (1.4) Subtract Whole Numbers
Solve.
Write the whole number in words.
2) Paul has the number 24,730,208 showing on his
calculator display.
Objective: (1.2) Write a Whole Number in Words and in
Standard Form
Add.
Objective: (1.4) Solve Problems by Subtracting Whole
Numbers
3) 6940 + 945 + 24 + 7198
Objective: (1.3) Add Whole Numbers
Find the perimeter.
4)
Round the whole number to the given place value.
9) 34,323 to the nearest thousand
89 inches
97 inches
Objective: (1.5) Round Whole Numbers
79 inches
Round the following to the nearest ten, nearest hundred, and
nearest thousand.
10) 78,680
147 inches
Objective: (1.3) Find the Perimeter of a Polygon
Solve.
8) Paula has a total of $2600 in her checking account.
If she writes a check for each of the items below,
how much money will be left in her account?
phone
$ 48
rent
$750
car
$429
Objective: (1.5) Round Whole Numbers
5) Jesse is installing an invisible fence in his back yard
which measures 114 feet by 68 feet by 86 feet by 96
feet. How many feet of wiring is needed to enclose
his yard?
Use the distributive property to rewrite the expression.
11) 26(37 + 40)
Objective: (1.3) Solve Problems by Adding Whole
Numbers
Objective: (1.6) Use the Properties of Multiplication
1
Multiply.
12)
Solve.
9939
× 3
18) If the area of a rectangle is 6 square inches and its
length is 3 inches, what is its width?
Objective: (1.7) Solve Problems That Require Dividing by
Whole Numbers
Objective: (1.6) Multiply Whole Numbers
13)
Find the average of the list of numbers.
19) 205, 164, 186, 193, 202
318
× 41
Objective: (1.7) Find the Average of a List of Numbers
Objective: (1.6) Multiply Whole Numbers
Solve.
20) A 16-ounce can of tomato soup is priced at $1.92.
What is the unit price per ounce?
Objective: (1.8) Solve Problems by Adding, Subtracting,
Multiplying, or Dividing Whole Numbers
14) 40 · 700
Objective: (1.6) Multiply by Whole Numbers Ending in
Zero(s)
21) A store orders 16 cases of candy bars. Each case
contains 94 candy bars. How many candy bars did
the store order?
Solve.
Objective: (1.8) Solve Problems by Adding, Subtracting,
Multiplying, or Dividing Whole Numbers
15) The textbook for a history class costs $98. There are
32 students in the class. Find the total cost of the
history books for the class.
Find the square root.
22) 121
Objective: (1.6) Solve Problems by Multiplying Whole
Numbers
Objective: (1.9) Evaluate the Square Root of a Perfect
Square
Divide.
Write using exponential notation.
23) 11 · 11 · 11 · 11 · 11
16) 5 5215
Objective: (1.9) Write Repeated Factors Using Exponential
Notation
Objective: (1.7) Perform Long Division
Simplify.
24) 8 · 9 + {21 ÷ [8 - (3 + 2)]}
17) 3130 ÷ 46
Objective: (1.9) Use the Order of Operations
Objective: (1.7) Perform Long Division
2
25)
26(17 - 14) - 12
32 - 3
Evaluate the expression for the given replacement values.
x+y
for x = 64, y = 16
28)
8
Objective: (1.9) Use the Order of Operations
Objective: (2.1) Evaluate Algebraic Expressions Given
Replacement Values
29) (x + 3y)2
Find the perimeter and the area of the figure.
26)
42 inches
for x = 4, y = 2
Objective: (2.1) Evaluate Algebraic Expressions Given
Replacement Values
14 inches
30) 6x2 + 2y
Objective: (1.11) Chapter Test
Solve.
Write the phrase as a variable expression. Use x to represent "a
number."
31) 3 more than 5 times a number
27) Seven swimming pools for a major hotel chain
have the shape and dimensions shown below. One
supplier is providing a tile border for all of the
pools. He needs to know the perimeter of all seven
pools to get a cost estimate. Find the total
perimeter.
40 feet
Objective: (2.1) Translate Phrases into Variable
Expressions
32) The quotient of 23 and a number
Objective: (2.1) Translate Phrases into Variable
Expressions
45 feet
55 feet
?
for x = 10, y = 4
Objective: (2.1) Evaluate Algebraic Expressions Given
Replacement Values
33) 9 less than 5 times a number
Objective: (2.1) Translate Phrases into Variable
Expressions
50 ft.
Graph the numbers on the number line.
34) -3, -1, 1, 3
40 feet
Objective: (2.2) Graph Integers on a Number Line
45 feet
Objective: (1.9) Use the Order of Operations
3
Insert < or > to make the statement true.
35) 0 _____ -8
Translate the phrase; then simplify.
42) Find the difference of -30 and -4.
Objective: (2.2) Compare Integers
Objective: (2.4) Subtract Integers
Simplify.
36) -|-7|
Add or subtract as indicated.
43) -18 - 8 + 1
Objective: (2.2) Combine Concepts
Objective: (2.4) Add and Subtract Integers
Find the opposite of the integer.
37) -18
Simplify.
44) |-20| - |-39|
Objective: (2.2) Find the Opposite of a Number
Add.
Objective: (2.4) Combine Concepts
38) -100 + (-95)
Multiply.
45) -6(-6)(-6)
Objective: (2.3) Add Integers
Objective: (2.5) Multiply Integers
39) 12 + (-1) + (-15)
Objective: (2.3) Add Integers
Evaluate.
46) -5 2
Solve.
Objective: (2.5) Multiply Integers
40) The Neighborhood Lemonade Stand, Inc. reported
net incomes of -$382, -$474, and -$413 for the past
three years. What was its total net income for these
three years?
Objective: (2.3) Solve Problems by Adding Integers
47) (-6)4
Objective: (2.5) Multiply Integers
Subtract.
41) -15 - (-15)
Objective: (2.4) Subtract Integers
4
Find the quotient.
-45
48)
-3
Evaluate the expression for x = -2, y = 3, z = -4.
53) -6x + 6y + 8z
Objective: (2.6) Evaluate an Algebraic Expression
Objective: (2.5) Divide Integers
Solve.
Write the fraction.
54) According to a recent study, 4 out of 10 visits to a
hospital emergency room were for an injury. What
fraction of emergency room visits were
injury-related?
49) A checking account had a beginning balance of $
1432. A deposit was made in the amount of $1470.
Every month for 14 months $35 was withdrawn.
How much money was left in the account at the
end of the 14 months?
Objective: (3.1) Write a Fraction to Represent Parts of
Figures or Real-Life Data
Objective: (2.5) Solve Problems by Multiplying or
Dividing Integers
Graph the fraction on a number line.
11
55)
4
Objective: (3.1) Graph Fractions on a Number Line
Simplify.
50) 2(-3)(8 - 4) - 14
Objective: (2.6) Simplify Expressions by Using the Order
of Operations
Write the prime factorization of the number.
56) 80
Objective: (3.2) Write a Number as a Product of Prime
Numbers
51) [6 + (-2)]2
Objective: (2.6) Simplify Expressions by Using the Order
of Operations
Write the fraction in simplest form.
22
57)
33
Objective: (3.2) Write a Fraction in Simplest Form
52) 7 · 4 - 9 · 3 + (-20)
Objective: (2.6) Simplify Expressions by Using the Order
of Operations
5
Solve. Write the fraction in simplest form.
58) As part of her fitness training, Alice plans to cycle
28 miles today. So far, she has cycled 24 miles.
What fraction of the total miles for the day is
represented by 24 miles?
62) -
5 2 1
·
3
5
Objective: (3.3) Evaluate Exponential Expressions with
Fractional Bases
Objective: (3.2) Solve Problems by Writing Fractions in
Simplest Form
Divide and simplify.
3
5
63) - ÷ 5
9
59) There are 10,500 employees at a company. If 10,000
are females, what fraction of the employees are
males?
Objective: (3.3) Divide Fractions
Objective: (3.2) Solve Problems by Writing Fractions in
Simplest Form
64)
Multiply. Write the answer in simplest form.
2
1
60) · 7
6
8 1
÷
3 9
Objective: (3.3) Divide Fractions
Objective: (3.3) Multiply Fractions
Perform the indicated operations. Write the answer in simplest
form.
4 3
·
65) 1 ÷
9 4
Evaluate.
61) -
6 2
5
Objective: (3.3) Multiply and Divide Given Fractional
Replacement Values
Objective: (3.3) Evaluate Exponential Expressions with
Fractional Bases
Evaluate the expression for the given replacement values.
Write the answer in simplest form.
2
5
for x = ,y=
66) x ÷ y
14
17
Objective: (3.3) Multiply and Divide Given Fractional
Replacement Values
6
Solve. Write the fraction in simplest form.
67) A storehouse stores 2700 different inventory items.
2
of these items are perishable. How many of the
25
71)
56
63
49
120 120 120
Objective: (3.4) Add or Subtract Like Fractions
inventory items are perishable?
Objective: (3.3) Solve Applications That Require
Multiplication of Fractions
72)
1
4
+
10 9
Objective: (3.5) Add or Subtract Unlike Fractions
68) A recipe calls for
1
of a pound of sausage. How
2
much sausage should be used if only
1
of the
3
recipe is being made?
Objective: (3.3) Solve Applications That Require
Multiplication of Fractions
73)
9
7
20 30
Objective: (3.5) Add or Subtract Unlike Fractions
Add or subtract as indicated. Write the answer in simplest
form.
2
8
+
69)
11 11
74) -
Objective: (3.5) Add or Subtract Unlike Fractions
Objective: (3.4) Add or Subtract Like Fractions
70) -
13 14
+
55 25
Insert < or > to form a true sentence.
7
1
75) 12
5
9
4
+ 15
15
Objective: (3.4) Add or Subtract Like Fractions
Objective: (3.5) Write Fractions in Order
7
Write the mixed number as an improper fraction.
5
76) 6
8
81)
10
- 4
Objective: (3.6) Write Mixed Numbers as Improper
Fractions
1
7
Objective: (3.7) Add or Subtract Mixed Numbers
Graph the list of numbers on the given number line.
1
1
1
77) -6, - 5 , - 3 , - 2 , 0
2
6
10
82) 42
1
1
- 47
8
8
Objective: (3.7) Perform Operations on Negative Mixed
Numbers
Objective: (3.7) Graph Positive and Negative Fractions
and Mixed Numbers
Perform the indicated operation. Write the answer in simplest
form. If the answer is an improper fraction, write it as a mixed
number.
1
1
78) 7 · 3
2
3
Solve. Write the answer as a mixed number in simplest form.
83) A patient in rehabilitation walked on a treadmill 6
1
miles over 4 days. How many miles is this per
9
Objective: (3.7) Multiply or Divide Mixed or Whole
Numbers
day?
Objective: (3.7) Solve Problems Containing Mixed
Numbers
79) 6
Write the decimal as a fraction or mixed number in lowest
terms.
84) 0.616
3
7
÷1
4
8
Objective: (4.1) Write Decimals as Fractions
Objective: (3.7) Multiply or Divide Mixed or Whole
Numbers
80) 2
Round the decimal to the given place value.
85) 8.64083, nearest thousandth
7
1
+1
10
4
Objective: (4.1) Round Decimals to Given Place Values
Objective: (3.7) Add or Subtract Mixed Numbers
8
Add.
Solve.
86) 255.2 + 0.5 + 76.01 + 45.8
Objective: (4.2) Add Decimals
91) In one week, Sunil worked 31.5 hours
cleaning yards and earned $256.50, including tips.
How much did Sunil earn per hour? (Round to the
nearest cent if necessary.)
Objective: (4.4) Solve Problems by Dividing Decimals
Subtract and check.
87) -7.4 - 2.3
Objective: (4.2) Subtract Decimals
Divide.
92) 0.07 3.15
Multiply.
88)
Objective: (4.4) Divide Decimals
0.303
× 0.7
Objective: (4.3) Multiply Decimals
Arrange the list of numbers in order from smallest to largest.
5
4
93) 6.25, 6 , 6.52, 6
8
9
Find the circumference of the circle. Then use the
approximation 3.14 for and approximate the circumference.
89)
Objective: (4.5) Compare Fractions and Decimals
Write the fraction as a decimal. If necessary, use repeating
decimal notation.
51
94)
16
10.5 yd
Objective: (4.5) Write Fractions as Decimals
Objective: (4.3) Find the Circumference of a Circle
Simplify the expression.
-2 + 0.2
95)
0.6
Divide.
90) 1.21 ÷ 0.5
Objective: (4.5) Simplify Expressions Containing Decimals
and Fractions Using Order of Operations
Objective: (4.4) Divide Decimals
9
Find the ratio described as a fraction in simplest form.
96) Use the graph below to find the ratio of Medical
miles to total miles.
For the proportion, find the unknown number n.
4
20
=
102)
2
n
5
Objective: (5.2) Find an Unknown Number in a
Proportion
103)
0.16
n
=
18
0.9
Objective: (5.2) Find an Unknown Number in a
Proportion
Solve.
104) The ratio of a basketball player's completed free
throws to attempted free throws is 6 to 7. If she
completed 24 free throws, find how many free
throws she attempted. Round to the nearest whole
number if necessary.
Objective: (5.1) Write Ratios as Fractions
97) According to an organization's membership list, it
has 1600 members who have cable TV and
1800 members who don't have cable. What is the
ratio of members who don't have cable to the total
number of members?
Objective: (5.3) Solve Problems by Writing Proportions
105) Yearly homeowner property taxes are figured at a
rate of $2.05 tax for every $100 of home value. Find
the property taxes on a condominium valued at $
273,000.
Objective: (5.1) Write Ratios as Fractions
Objective: (5.3) Solve Problems by Writing Proportions
Write the rate as a fraction in simplest form.
98) 875 miles in 42 hours
106) One pound of a product yields 3
Objective: (5.1) Write Rates as Fractions
2
cups. How
3
many pounds of this product will be required by a
recipe that calls for 8 cups of the product?
Write the rate as a unit rate.
99) An animal can move at 1440 feet per minute. Write
this rate in feet per second.
Objective: (5.3) Solve Problems by Writing Proportions
Objective: (5.1) Find Unit Rates
Find the unit price.
100) Find which is the better buy (lower cost per ounce)
by finding each unit price rounded to three
decimal places if necessary. Assume that different
sizes of the same brand are being compared.
Cream Rinse:
$0.79 for 13 ounces
$1.56 for 23 ounces
Objective: (5.1) Find Unit Prices
Write the sentence as a proportion.
1
2
101) 3 cups of chocolate chips is to 24 cupcakes as 6
5
5
cups of chocolate chips is to 48 cupcakes.
Objective: (5.2) Write Sentences as Proportions
10