Question 1

Perform the indicated operation. Simplify your answers.
-$\begin{array} { r } 
3 \frac { 7 } { 9 } \\
14 \frac { 8 } { 9 } \\
+ \frac { 8 } { 9 }\\hline
\end{array}$

Accepted Answer

A)  $18 \frac { 5 } { 9 }$ 
B)  $19 \frac { 1 } { 2 }$ 
C)  $19 \frac { 5 } { 9 }$ 
D)  $20 \frac { 5 } { 9 }$ 
A)  $18 \frac { 5 } { 9 }$ 
B)  $19 \frac { 1 } { 2 }$ 
C)  $19 \frac { 5 } { 9 }$ 
D)  $20 \frac { 5 } { 9 }$ C

Question 2

Solve.
-A carpenter cuts a piece 2 34 feet long from a cedar plank that is 9 feet long. How long is the remaining piece?

Accepted Answer

A) 6 feet 
B) 6 12 feet 
C) 7 34 feet 
D) 6 14 feet 
A) 6 feet 
B) 6 12 feet 
C) 7 34 feet 
D) 6 14 feet D

Question 3

Subtract and simplify.
-$38 \frac { 2 } { 3 } - 25 \frac { 13 } { 16 }$

Accepted Answer

A)  $11 \frac { 41 } { 48 }$ 
B) 12 
C)  $13 \frac { 41 } { 48 }$ 
D)  $12 \frac { 41 } { 48 }$ 
A)  $11 \frac { 41 } { 48 }$ 
B) 12 
C)  $13 \frac { 41 } { 48 }$ 
D)  $12 \frac { 41 } { 48 }$ D

Question 4

Subtract and simplify.
-$\frac { 7 } { 21 } - \frac { 6 } { 21 }$

Accepted Answer

A)  $\frac { 1 } { 7 }$ 
B)  $\frac { 1 } { 21 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  $\frac { 1 } { 7 }$ 
B)  $\frac { 1 } { 21 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 3 }$

Question 5

Subtract and simplify.
-$\frac { 5 } { 6 } - \frac { 2 } { 5 }$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 10 }$ 
C)  $\frac { 13 } { 30 }$ 
D)  $\frac { 13 } { 6 }$ 
A)  $\frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 10 }$ 
C)  $\frac { 13 } { 30 }$ 
D)  $\frac { 13 } { 6 }$

Question 6

Find the least common multiple (LCM)of the list of numbers.
-60, 80, 50

Accepted Answer

A) 1200 
B) 400 
C) 600 
D) 240 
A) 1200 
B) 400 
C) 600 
D) 240

Question 7

Subtract and simplify.
-$\frac { 8 } { 25 } - \frac { 5 } { 25 }$

Accepted Answer

A)  $\frac { 13 } { 25 }$ 
B)  $\frac { 3 } { 25 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 13 } { 25 }$ 
B)  $\frac { 3 } { 25 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 1 } { 2 }$

Question 8

Subtract and simplify.
-$\begin{array} { r } 
13 \frac { 2 } { 15 } \\
- \quad 7 \frac { 2 } { 9 }
\end{array}$

Accepted Answer

A)  $4 \frac { 41 } { 45 }$ 
B) 5 
C)  $5 \frac { 41 } { 45 }$ 
D)  $6 \frac { 43 } { 45 }$ 
A)  $4 \frac { 41 } { 45 }$ 
B) 5 
C)  $5 \frac { 41 } { 45 }$ 
D)  $6 \frac { 43 } { 45 }$

Question 9

Perform the indicated operation. Simplify your answers.
-$\frac { 1 } { 7 } - \frac { 1 } { 11 }$

Accepted Answer

A)  $\frac { 4 } { 7 }$ 
B)  $\frac { 1 } { 77 }$ 
C)  $\frac { 4 } { 77 }$ 
D)  $\frac { 1 } { 7 }$ 
A)  $\frac { 4 } { 7 }$ 
B)  $\frac { 1 } { 77 }$ 
C)  $\frac { 4 } { 77 }$ 
D)  $\frac { 1 } { 7 }$

Question 10

The circle graph below shows us how an average consumer spends money. Use this information for Exercises 26 through
28.  
-What fraction of spending goes for education and housing combined?

Accepted Answer

A)  $\frac { 11 } { 15 }$ 
B)  $\frac { 9 } { 10 }$ 
C)  $\frac { 13 } { 20 }$ 
D)  $\frac { 2 } { 5 }$ 
A)  $\frac { 11 } { 15 }$ 
B)  $\frac { 9 } { 10 }$ 
C)  $\frac { 13 } { 20 }$ 
D)  $\frac { 2 } { 5 }$

Question 11

Solve.
-A recipe for brownies calls for $4 \frac { 1 } { 2 }$ cups of cups of brown sugar. If you are only making a half-batch, how much brown sugar would you need?

Accepted Answer

A)  $4 \frac { 1 } { 4 } \text { cups }$ 
B) 9 cups 
C)  $2 \frac { 1 } { 4 } \text { cups }$ 
D)  $2 \frac { 1 } { 2 } \text { cups }$ 
A)  $4 \frac { 1 } { 4 } \text { cups }$ 
B) 9 cups 
C)  $2 \frac { 1 } { 4 } \text { cups }$ 
D)  $2 \frac { 1 } { 2 } \text { cups }$

Question 12

Subtract and simplify.
-$\begin{array} { r } 
17 \frac { 7 } { 25 } \\
- \quad 9 \frac { 7 } { 20 }
\end{array}$

Accepted Answer

A)  $7 \frac { 93 } { 100 }$ 
B) 7 
C)  $6 \frac { 95 } { 100 }$ 
D)  $8 \frac { 93 } { 100 }$ 
A)  $7 \frac { 93 } { 100 }$ 
B) 7 
C)  $6 \frac { 95 } { 100 }$ 
D)  $8 \frac { 93 } { 100 }$

Question 13

Subtract and simplify.
-$10 \frac { 1 } { 9 } - 2 \frac { 4 } { 9 }$

Accepted Answer

A)  $7 \frac { 1 } { 3 }$ 
B)  $7 \frac { 2 } { 3 }$ 
C)  $11 \frac { 2 } { 3 }$ 
D)  $12 \frac { 2 } { 3 }$ 
A)  $7 \frac { 1 } { 3 }$ 
B)  $7 \frac { 2 } { 3 }$ 
C)  $11 \frac { 2 } { 3 }$ 
D)  $12 \frac { 2 } { 3 }$

Question 14

Use the order of operations to simplify the expression.
-$\frac { 1 } { 3 } \cdot \left( 7 - \frac { 1 } { 2 } \right) + 9$

Accepted Answer

A)  $\frac { 65 } { 6 }$ 
B)  $\frac { 31 } { 2 }$ 
C)  $\frac { 11 } { 3 }$ 
D)  $\frac { 67 } { 6 }$ 
A)  $\frac { 65 } { 6 }$ 
B)  $\frac { 31 } { 2 }$ 
C)  $\frac { 11 } { 3 }$ 
D)  $\frac { 67 } { 6 }$

Question 15

Perform the indicated operation. Simplify your answers.
-$\left( \frac { 4 } { 5 } \right) ^ { 2 } + \left( \frac { 1 } { 3 } \right) ^ { 3 }$

Accepted Answer

A)  $\frac { 169 } { 225 }$ 
B)  $\frac { 457 } { 675 }$ 
C)  $\frac { 701 } { 675 }$ 
D)  $\frac { 433 } { 675 }$ 
A)  $\frac { 169 } { 225 }$ 
B)  $\frac { 457 } { 675 }$ 
C)  $\frac { 701 } { 675 }$ 
D)  $\frac { 433 } { 675 }$

Question 16

The circle graph below shows us how an average consumer spends money. Use this information for Exercises 26 through
28.  
-What fraction of spending goes for education, housing, and other?

Accepted Answer

A)  $\frac { 3 } { 10 }$ 
B)  $\frac { 23 } { 100 }$ 
C) 1 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 3 } { 10 }$ 
B)  $\frac { 23 } { 100 }$ 
C) 1 
D)  $\frac { 1 } { 2 }$

Question 17

Solve. Write the answer in simplest form.
-Sophie readd $\frac { 1 } { 12 }$ of her book on Monday, $\frac { 4 } { 12 }$ of her of herbook on Tuesday, andnd $\frac { 2 } { 12 }$ of he of hr book on Wednesday. What part of her book has she read?

Accepted Answer

A)  $\frac { 7 } { 12 }$ 
B)  $\frac { 5 } { 12 }$ 
C)  $\frac { 12 } { 5 }$ 
D)  $\frac { 12 } { 7 }$ 
A)  $\frac { 7 } { 12 }$ 
B)  $\frac { 5 } { 12 }$ 
C)  $\frac { 12 } { 5 }$ 
D)  $\frac { 12 } { 7 }$

Question 18

Subtract and simplify.
-$\frac { 3 } { 8 } - \frac { 2 } { 8 }$

Accepted Answer

A)  $\frac { 3 } { 16 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $\frac { 3 } { 16 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 1 } { 4 }$

Question 19

Subtract and simplify.
-$\begin{array} { r } 
18 \frac { 3 } { 4 } \\
- 8 \frac { 1 } { 8 }\\hline
\end{array}$

Accepted Answer

A)  $26 \frac { 5 } { 8 }$ 
B)  $10 \frac { 7 } { 8 }$ 
C)  $10 \frac { 5 } { 8 }$ 
D)  $26 \frac { 7 } { 8 }$ 
A)  $26 \frac { 5 } { 8 }$ 
B)  $10 \frac { 7 } { 8 }$ 
C)  $10 \frac { 5 } { 8 }$ 
D)  $26 \frac { 7 } { 8 }$

Question 20

Write the fraction as an equivalent fraction with the given denominator.
-$\frac { 6 } { 11 } = \frac { } { 55 }$

Accepted Answer

A)  $\frac { 6 } { 55 }$ 
B)  $\frac { 5 } { 55 }$ 
C)  $\frac { 66 } { 55 }$ 
D)  $\frac { 30 } { 55 }$ 
A)  $\frac { 6 } { 55 }$ 
B)  $\frac { 5 } { 55 }$ 
C)  $\frac { 66 } { 55 }$ 
D)  $\frac { 30 } { 55 }$

Perform the indicated operation. Simplify your answers. - 3 14 +

Solve. -A carpenter cuts a piece 2 34 feet long from a cedar plank that is 9 feet long. How long is the remaining piece?

Subtract and simplify. - $38 \frac { 2 } { 3 } - 25 \frac { 13 } { 16 }$

Subtract and simplify. - $\frac { 7 } { 21 } - \frac { 6 } { 21 }$

Subtract and simplify. - $\frac { 5 } { 6 } - \frac { 2 } { 5 }$

Find the least common multiple (LCM)of the list of numbers. -60, 80, 50

Subtract and simplify. - $\frac { 8 } { 25 } - \frac { 5 } { 25 }$

Subtract and simplify. - 13 -7

Perform the indicated operation. Simplify your answers. - $\frac { 1 } { 7 } - \frac { 1 } { 11 }$

Solve. -A recipe for brownies calls for $4 \frac { 1 } { 2 }$ cups of cups of brown sugar. If you are only making a half-batch, how much brown sugar would you need?

Subtract and simplify. - 17 -9

Subtract and simplify. - $10 \frac { 1 } { 9 } - 2 \frac { 4 } { 9 }$

Use the order of operations to simplify the expression. - $\frac { 1 } { 3 } \cdot \left( 7 - \frac { 1 } { 2 } \right) + 9$

Perform the indicated operation. Simplify your answers. - $\left( \frac { 4 } { 5 } \right) ^ { 2 } + \left( \frac { 1 } { 3 } \right) ^ { 3 }$

Solve. Write the answer in simplest form. -Sophie readd $\frac { 1 } { 12 }$ of her book on Monday, $\frac { 4 } { 12 }$ of her of herbook on Tuesday, andnd $\frac { 2 } { 12 }$ of he of hr book on Wednesday. What part of her book has she read?

Subtract and simplify. - $\frac { 3 } { 8 } - \frac { 2 } { 8 }$

Subtract and simplify. - 18 -8

Write the fraction as an equivalent fraction with the given denominator. - $\frac { 6 } { 11 } = \frac { } { 55 }$

The Whole Numbers

Multiplying and Dividing Fractions

Decimals

Ratio, Proportion, and Percent

Geometry

Statistics and Probability

Real Numbers and Introduction to Algebra

Equations, Inequalities, and Problem Solving

Graphing Equations and Inequalities

Systems of Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Roots and Radicals

Quadratic Equations and Nonlinear Graphs

Algebraic Equations and Inequalities

Filters

Exam 3: Adding and Subtracting Fractions