MAT0018: Test 2 Review Section 3.1: Introduction to Fractions and ...

MAT0018: Test 2 Review
Section 3.1: Introduction to Fractions and Mixed Numbers
1. Graph each fraction on the number line.
a.
b.
2. Simplify by dividing.
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.
3. What fraction of an hour does 19 minutes represent
MAT0018 T2 Review, Sections 3.1-3.6, Number Worksheet Page 1 of 12

4. An art dealer is taking inventory. His shop contains a total of 37 pieces, which are all
sculptures, watercolor paintings, or oil paintings. If there are 15 watercolor paintings
and 17 oil paintings, answer each question.
a. What fraction of the inventory is watercolor paintings
b. What fraction of the inventory is oil paintings
c. How many sculptures are there
d. What fraction of the inventory are sculptures
Section 3.2: Factors and Simplest Form
1. Write the prime factorization of each number.
a. 64 b. 504 c. 75
2. Write each fraction in simplest form.
MAT0018 T2 Review, Sections 3.1-3.6, Number Worksheet Page 2 of 12

a.
b.
3. Determine whether each pair of fractions is equivalent.
a.
and
b.
and
4. Katy Biagini just bought a brand-new Toyota Camry hybrid for $28,000. Her old car
was traded in for $12,000.
a. How much of her purchase price was not covered by her trade-in
b. What fraction (in simplest form) of the purchase price was not covered by the
trade-in
Section 3.3: Multiplying and Dividing Fractions
1. Multiply. Write the product in simplest form.
MAT0018 T2 Review, Sections 3.1-3.6, Number Worksheet Page 3 of 12

a. 14
15 6 7 b. 6 7 11 12
c. 4 3 15 8 d.
∙
e. 7 12 5 8 16 25 f.
∙ ∙
g. h.
∙
2. Divide. Write all quotients in simplest form.
a. 0
b.
0
MAT0018 T2 Review, Sections 3.1-3.6, Number Worksheet Page 4 of 12

c. d.
e.
6 f.
3. Find of 32.
4. Each turn of a screw sinks it
deep the screw is after 8 turns.
of an inch deeper into a piece of wood. Find how
MAT0018 T2 Review, Sections 3.1-3.6, Number Worksheet Page 5 of 12

Section 3.4: Adding and Subtracting Like Fractions, Least Common Denominator, and
Equivalent Fractions
1. Perform the indicated operation and simplify your answer.
a.
b.
c.
d.
e.
f.
MAT0018 T2 Review, Sections 3.1-3.6, Number Worksheet Page 6 of 12

2. Find the LCD of each list of fractions.
a. ,
b.
,
,
3. Write each fraction as an equivalent fraction with the given denominator.
a.
b.
Section 3.5: Adding and Subtracting Unlike Fractions
1. Perform the indicated operation and simplify your answer.
a.
b.
MAT0018 T2 Review, Sections 3.1-3.6, Number Worksheet Page 7 of 12

c.
d.
1
e.
f.
2. Insert or to form a true sentence.
a.
b.
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3. Evaluate each expression if and
a. b.
c. d.
4. One evening Mark did of his homework before baseball practice, another after
baseball practice, and another after supper. What fractional portion of Mark’s
homework still needs to be completed
MAT0018 T2 Review, Sections 3.1-3.6, Number Worksheet Page 9 of 12

Section 3.6: Complex Fractions, Order of Operations, and Mixed Numbers
1. Simplify each complex fraction.
a.
b.
2. Use the order of operations to simplify each expression.
a.
∙ ∙
b.
∙
MAT0018 T2 Review, Sections 3.1-3.6, Number Worksheet Page 10 of 12

c. 2∙
d. ∙
3. Write each mixed number as an improper fraction.
a. 2
b. 7
4. Write each improper fraction as a mixed number.
MAT0018 T2 Review, Sections 3.1-3.6, Number Worksheet Page 11 of 12

a.
b.
Number Worksheet Review
1. Identify the class of number for the following examples by marking the appropriate
column. If it fits more than one class make multiple marks.
Counting/ Natural
Number
Whole Number Integer Rational Number
21
3
8
10
1.52
1 5
0
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