Question 1

Convert to a mixed numeral.
-$\frac{60}{7}$

Accepted Answer

A)  $\frac{7}{60}$ 
B)  $60 \frac{60}{7}$ 
C)  $8 \frac{4}{7}$ 
D)  $60 \frac{7}{60}$ 
A)  $\frac{7}{60}$ 
B)  $60 \frac{60}{7}$ 
C)  $8 \frac{4}{7}$ 
D)  $60 \frac{7}{60}$ C

Question 2

Estimate the value as a whole number or as a mixed numeral where the fractional part is $\frac{1}{2}$.
-$17 \frac{13}{14}$

Accepted Answer

A)  $17 \frac{1}{2}$ 
B)  18 
C)  17 
D)  $18 \frac{1}{2}$ 
A)  $17 \frac{1}{2}$ 
B)  18 
C)  17 
D)  $18 \frac{1}{2}$ B

Question 3

Solve and simplify.
-$\frac{1}{14}+x=\frac{5}{14}$

Accepted Answer

A)  $x=\frac{2}{7}$ 
B)  $x=\frac{4}{0}$ 
C)  $x=\frac{4}{28}$ 
D)  $x=\frac{4}{14}$ 
A)  $x=\frac{2}{7}$ 
B)  $x=\frac{4}{0}$ 
C)  $x=\frac{4}{28}$ 
D)  $x=\frac{4}{14}$ A

Question 4

Multiply and simplify.
-$\frac{13}{2} \cdot \frac{2}{13}$

Accepted Answer

A)  $\frac{4}{169}$ 
B)  1 
C)  0 
D)  $\frac{169}{4}$ 
A)  $\frac{4}{169}$ 
B)  1 
C)  0 
D)  $\frac{169}{4}$

Question 5

Divide. Write a mixed numeral for the answer.
-$5 \frac{6}{7} \div 4 \frac{3}{7}$

Accepted Answer

A)  $2 \frac{10}{31}$ 
B)  $1 \frac{10}{31}$ 
C)  $1 \frac{10}{30}$ 
D)  $1 \frac{11}{31}$ 
A)  $2 \frac{10}{31}$ 
B)  $1 \frac{10}{31}$ 
C)  $1 \frac{10}{30}$ 
D)  $1 \frac{11}{31}$

Question 6

Simplify.
-$\frac{2}{3}-\frac{1}{6} \div\left(\frac{4}{5}-\frac{1}{2}\right)$

Accepted Answer

A)  $\frac{1}{9}$ 
B)  $\frac{5}{3}$ 
C)  $\frac{1}{24}$ 
D)  $\frac{1}{8}$ 
A)  $\frac{1}{9}$ 
B)  $\frac{5}{3}$ 
C)  $\frac{1}{24}$ 
D)  $\frac{1}{8}$

Question 7

Subtract and simplify.
-$\frac{9}{10}-\frac{7}{10}$

Accepted Answer

A)  $\frac{1}{5}$ 
B)  $\frac{2}{0}$ 
C)  $\frac{2}{20}$ 
D)  $\frac{2}{10}$ 
A)  $\frac{1}{5}$ 
B)  $\frac{2}{0}$ 
C)  $\frac{2}{20}$ 
D)  $\frac{2}{10}$

Question 8

Multiply.
-$\frac{2}{9} \cdot 41$

Accepted Answer

A)  $\frac{82}{9}$ 
B)  $\frac{2}{369}$ 
C)  $\frac{43}{9}$ 
D)  $\frac{82}{369}$ 
A)  $\frac{82}{9}$ 
B)  $\frac{2}{369}$ 
C)  $\frac{43}{9}$ 
D)  $\frac{82}{369}$

Question 9

Add and simplify.
-$\frac{1}{2}+\frac{7}{8}+\frac{2}{4}$

Accepted Answer

A)  $\frac{11}{2}$ 
B)  $\frac{5}{4}$ 
C)  $\frac{15}{4}$ 
D)  $\frac{15}{8}$ 
A)  $\frac{11}{2}$ 
B)  $\frac{5}{4}$ 
C)  $\frac{15}{4}$ 
D)  $\frac{15}{8}$

Question 10

Solve. Write a mixed numeral for the answer.
-A square piece of paper has a side length of $s=7 \frac{5}{8}$ inches. A square of side length $\frac{1}{2} \cdot s$ is cut from one corner of the piece of paper. Find the area of the piece of paper that remains.

Accepted Answer

A)  $43 \frac{155}{256} \mathrm{in.}^{2}$ 
B)  $39 \frac{13}{16}$ in. $^{2}$ 
C)  $41 \frac{125}{256}$ in. $^{2}$ 
D)  $54 \frac{21}{64}$ in. $^{2}$ 
A)  $43 \frac{155}{256} \mathrm{in.}^{2}$ 
B)  $39 \frac{13}{16}$ in. $^{2}$ 
C)  $41 \frac{125}{256}$ in. $^{2}$ 
D)  $54 \frac{21}{64}$ in. $^{2}$

Question 11

Solve.
-A worker has readings that take $\frac{2}{3}$ minute each to read and record. How many readings can be completed in 54 minutes?

Accepted Answer

A)  55 readings 
B)  36 readings 
C)  81 readings 
D)  20 readings 
A)  55 readings 
B)  36 readings 
C)  81 readings 
D)  20 readings

Question 12

Solve.
-There are 70 students in Jose's class. $\frac{2}{5}$ of the students are science majors. How many students are science majors?

Accepted Answer

A)  140 students 
B)  42 students 
C)  28 students 
D)  26 students 
A)  140 students 
B)  42 students 
C)  28 students 
D)  26 students

Question 13

Solve. Write a mixed numeral for the answer.
-Mr. Meredith is building a table. The top will have a piece of marble $23 \frac{1}{2}$ inches by 10 inches, bordered by $1 \frac{1}{4}$ inches of wood on all four sides. Give the overall dimensions of the table top.

Accepted Answer

A)  $24 \frac{1}{2}$ in. by $11 \frac{1}{2} \mathrm{in}$. 
B)  26 in. by $12 \frac{1}{2}$ in. 
C)  $26 \frac{1}{2}$ in. by $12 \frac{1}{2} \mathrm{in}$. 
D)  26 in. by 12 in. 
A)  $24 \frac{1}{2}$ in. by $11 \frac{1}{2} \mathrm{in}$. 
B)  26 in. by $12 \frac{1}{2}$ in. 
C)  $26 \frac{1}{2}$ in. by $12 \frac{1}{2} \mathrm{in}$. 
D)  26 in. by 12 in.

Question 14

Multiply and simplify.
-$\frac{13}{5} \cdot \frac{15}{14}$

Accepted Answer

A)  $\frac{39}{14}$ 
B)  $\frac{14}{15}$ 
C)  $\frac{195}{70}$ 
D)  $\frac{28}{19}$ 
A)  $\frac{39}{14}$ 
B)  $\frac{14}{15}$ 
C)  $\frac{195}{70}$ 
D)  $\frac{28}{19}$

Question 15

Solve and simplify.
-$x+\frac{2}{7}=\frac{5}{14}$

Accepted Answer

A)  $x=-\frac{1}{14}$ 
B)  $x=\frac{9}{14}$ 
C)  $x=\frac{1}{7}$ 
D)  $x=\frac{1}{14}$ 
A)  $x=-\frac{1}{14}$ 
B)  $x=\frac{9}{14}$ 
C)  $x=\frac{1}{7}$ 
D)  $x=\frac{1}{14}$

Question 16

Find another name for the given number, but with the denominator indicated.
-$\frac{15}{9}=\frac{?}{18}$

Accepted Answer

A)  $\frac{135}{18}$ 
B)  $\frac{270}{162}$ 
C)  $\frac{30}{18}$ 
D)  $\frac{15}{18}$ 
A)  $\frac{135}{18}$ 
B)  $\frac{270}{162}$ 
C)  $\frac{30}{18}$ 
D)  $\frac{15}{18}$

Question 17

Add. Write a mixed numeral for the answer.
-$4 \frac{1}{4}+8 \frac{2}{3}$

Accepted Answer

A)  $12 \frac{11}{12}$ 
B)  $13 \frac{11}{12}$ 
C)  $4 \frac{11}{12}$ 
D)  $11 \frac{11}{12}$ 
A)  $12 \frac{11}{12}$ 
B)  $13 \frac{11}{12}$ 
C)  $4 \frac{11}{12}$ 
D)  $11 \frac{11}{12}$

Question 18

What part of the object or set of objects is shaded?
-

Accepted Answer

A)  $\frac{3}{4}$ 
B)  $\frac{7}{8}$ 
C)  $\frac{1}{7}$ 
D)  $\frac{7}{4}$ 
A)  $\frac{3}{4}$ 
B)  $\frac{7}{8}$ 
C)  $\frac{1}{7}$ 
D)  $\frac{7}{4}$

Question 19

Estimate the value as a whole number or as a mixed numeral where the fractional part is $\frac{1}{2}$.
-$47 \frac{26}{27} \div 8 \frac{3}{199}$

Accepted Answer

A)  $5 \frac{1}{2}$ 
B)  5 
C)  6 
D)  $6 \frac{1}{2}$ 
A)  $5 \frac{1}{2}$ 
B)  5 
C)  6 
D)  $6 \frac{1}{2}$

Question 20

Find the average of the set of numbers.
-$\frac{1}{6}, \frac{2}{8}$, and $\frac{3}{4}$

Accepted Answer

A)  $\frac{7}{18}$ 
B)  $1 \frac{1}{6}$ 
C)  $\frac{1}{32}$ 
D)  $\frac{7}{12}$ 
A)  $\frac{7}{18}$ 
B)  $1 \frac{1}{6}$ 
C)  $\frac{1}{32}$ 
D)  $\frac{7}{12}$

Convert to a mixed numeral. - $\frac{60}{7}$

Estimate the value as a whole number or as a mixed numeral where the fractional part is $\frac{1}{2}$ . - $17 \frac{13}{14}$

Solve and simplify. - $\frac{1}{14}+x=\frac{5}{14}$

Multiply and simplify. - $\frac{13}{2} \cdot \frac{2}{13}$

Divide. Write a mixed numeral for the answer. - $5 \frac{6}{7} \div 4 \frac{3}{7}$

Simplify. - $\frac{2}{3}-\frac{1}{6} \div\left(\frac{4}{5}-\frac{1}{2}\right)$

Subtract and simplify. - $\frac{9}{10}-\frac{7}{10}$

Multiply. - $\frac{2}{9} \cdot 41$

Add and simplify. - $\frac{1}{2}+\frac{7}{8}+\frac{2}{4}$

Solve. Write a mixed numeral for the answer. -A square piece of paper has a side length of $s=7 \frac{5}{8}$ inches. A square of side length $\frac{1}{2} \cdot s$ is cut from one corner of the piece of paper. Find the area of the piece of paper that remains.

Solve. -A worker has readings that take $\frac{2}{3}$ minute each to read and record. How many readings can be completed in 54 minutes?

Solve. -There are 70 students in Jose's class. $\frac{2}{5}$ of the students are science majors. How many students are science majors?

Solve. Write a mixed numeral for the answer. -Mr. Meredith is building a table. The top will have a piece of marble $23 \frac{1}{2}$ inches by 10 inches, bordered by $1 \frac{1}{4}$ inches of wood on all four sides. Give the overall dimensions of the table top.

Multiply and simplify. - $\frac{13}{5} \cdot \frac{15}{14}$

Solve and simplify. - $x+\frac{2}{7}=\frac{5}{14}$

Find another name for the given number, but with the denominator indicated. - $\frac{15}{9}=\frac{?}{18}$

Add. Write a mixed numeral for the answer. - $4 \frac{1}{4}+8 \frac{2}{3}$

What part of the object or set of objects is shaded? -

Estimate the value as a whole number or as a mixed numeral where the fractional part is $\frac{1}{2}$ . - $47 \frac{26}{27} \div 8 \frac{3}{199}$

Find the average of the set of numbers. - $\frac{1}{6}, \frac{2}{8}$ , and $\frac{3}{4}$

Whole Numbers

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 2: Fraction Notation

Convert to a mixed numeral. - 607\frac{60}{7}760​

Estimate the value as a whole number or as a mixed numeral where the fractional part is 12\frac{1}{2}21​ . - 17131417 \frac{13}{14}171413​

Solve and simplify. - 114+x=514\frac{1}{14}+x=\frac{5}{14}141​+x=145​

Multiply and simplify. - 132⋅213\frac{13}{2} \cdot \frac{2}{13}213​⋅132​

Divide. Write a mixed numeral for the answer. - 567÷4375 \frac{6}{7} \div 4 \frac{3}{7}576​÷473​

Simplify. - 23−16÷(45−12)\frac{2}{3}-\frac{1}{6} \div\left(\frac{4}{5}-\frac{1}{2}\right)32​−61​÷(54​−21​)

Subtract and simplify. - 910−710\frac{9}{10}-\frac{7}{10}109​−107​

Multiply. - 29⋅41\frac{2}{9} \cdot 4192​⋅41

Add and simplify. - 12+78+24\frac{1}{2}+\frac{7}{8}+\frac{2}{4}21​+87​+42​

Solve. Write a mixed numeral for the answer. -A square piece of paper has a side length of s=758s=7 \frac{5}{8}s=785​ inches. A square of side length 12⋅s\frac{1}{2} \cdot s21​⋅s is cut from one corner of the piece of paper. Find the area of the piece of paper that remains.

Solve. -A worker has readings that take 23\frac{2}{3}32​ minute each to read and record. How many readings can be completed in 54 minutes?

Solve. -There are 70 students in Jose's class. 25\frac{2}{5}52​ of the students are science majors. How many students are science majors?

Solve. Write a mixed numeral for the answer. -Mr. Meredith is building a table. The top will have a piece of marble 231223 \frac{1}{2}2321​ inches by 10 inches, bordered by 1141 \frac{1}{4}141​ inches of wood on all four sides. Give the overall dimensions of the table top.

Multiply and simplify. - 135⋅1514\frac{13}{5} \cdot \frac{15}{14}513​⋅1415​

Solve and simplify. - x+27=514x+\frac{2}{7}=\frac{5}{14}x+72​=145​

Find another name for the given number, but with the denominator indicated. - 159=?18\frac{15}{9}=\frac{?}{18}915​=18?​

Add. Write a mixed numeral for the answer. - 414+8234 \frac{1}{4}+8 \frac{2}{3}441​+832​