Question 1

Add and simplify.
-$\frac { 7 } { 17 } + \frac { 5 } { 17 }$

Accepted Answer

A)  $\frac { 12 } { 17 }$ 
B)  $\frac { 11 } { 16 }$ 
C)  $\frac { 13 } { 18 }$ 
D)  $\frac { 11 } { 17 }$ 
A)  $\frac { 12 } { 17 }$ 
B)  $\frac { 11 } { 16 }$ 
C)  $\frac { 13 } { 18 }$ 
D)  $\frac { 11 } { 17 }$

Question 2

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

Accepted Answer

A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 37 } { 9 }$ 
C)  $\frac { 35 } { 9 }$ 
D)  $\frac { 5 } { 9 }$ 
A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 37 } { 9 }$ 
C)  $\frac { 35 } { 9 }$ 
D)  $\frac { 5 } { 9 }$

Question 3

Solve.
-Kim decided to do some spring cleaning. She spentent $3 \frac { 3 } { 8 }$ hours cleaning her garage on Saturday. The next day she spennt $3 \frac { 5 } { 8 }$ hours cleaning her basement. What was the total amount of time she spent cleaning that weekend?

Accepted Answer

A)  $5 \frac { 3 } { 8 }$ hour hours 
B)  $7 \frac { 3 } { 8 }$ hour hours 
C) 6 hours 
D) 7 hours 
A)  $5 \frac { 3 } { 8 }$ hour hours 
B)  $7 \frac { 3 } { 8 }$ hour hours 
C) 6 hours 
D) 7 hours

Question 4

Solve.
-Find the area and perimeter of the figure:

Accepted Answer

A)  $\text { area: } \frac { 2 } { 11 } \mathrm { ft } ^ { 2 } \text {; perimeter: } 1 \frac { 4 } { 99 } \mathrm { ft }$ 
B)  $\text { area: } \frac { 2 } { 11 } \mathrm { ft } ^ { 2 } \text {; perimeter: } 2 \frac { 8 } { 99 } \mathrm { ft }$ 
C)  $\text { area: } \frac { 2 } { 11 } \text { in } ^ { 2 } \text {; perimeter: } 2 \frac { 8 } { 99 } \text { in }$ 
D)  $\text { area: } \frac { 4 } { 81 } \mathrm { ft } ^ { 2 } \text {; perimeter: } 2 \frac { 8 } { 99 } \mathrm { ft }$ 
A)  $\text { area: } \frac { 2 } { 11 } \mathrm { ft } ^ { 2 } \text {; perimeter: } 1 \frac { 4 } { 99 } \mathrm { ft }$ 
B)  $\text { area: } \frac { 2 } { 11 } \mathrm { ft } ^ { 2 } \text {; perimeter: } 2 \frac { 8 } { 99 } \mathrm { ft }$ 
C)  $\text { area: } \frac { 2 } { 11 } \text { in } ^ { 2 } \text {; perimeter: } 2 \frac { 8 } { 99 } \text { in }$ 
D)  $\text { area: } \frac { 4 } { 81 } \mathrm { ft } ^ { 2 } \text {; perimeter: } 2 \frac { 8 } { 99 } \mathrm { ft }$

Question 5

Perform the indicated operation. Simplify your answers.
-Find the average off $\frac { 1 } { 6 } , \frac { 3 } { 7 } , \text { and } \frac { 4 } { 3 }$

Accepted Answer

A)  $\frac { 81 } { 14 }$ 
B)  $\frac { 9 } { 14 }$ 
C)  $\frac { 27 } { 14 }$ 
D)  $\frac { 27 } { 28 }$ 
A)  $\frac { 81 } { 14 }$ 
B)  $\frac { 9 } { 14 }$ 
C)  $\frac { 27 } { 14 }$ 
D)  $\frac { 27 } { 28 }$

Question 6

Perform the indicated operation.
-$\frac { 1 } { 6 } + \frac { 1 } { 12 }$

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 1 } { 9 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 19 } { 72 }$ 
A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 1 } { 9 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 19 } { 72 }$

Question 7

Find the least common multiple (LCM)of the list of numbers.
-3, 30

Accepted Answer

A) 3 
B) 90 
C) 30 
D) 33 
A) 3 
B) 90 
C) 30 
D) 33

Question 8

Perform the indicated operation. Simplify your answers.
-$\frac { 7 } { 9 } - \frac { 1 } { 12 }$

Accepted Answer

A)  $\frac { 25 } { 36 }$ 
B)  $\frac { 13 } { 18 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 2 } { 3 }$ 
A)  $\frac { 25 } { 36 }$ 
B)  $\frac { 13 } { 18 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 2 } { 3 }$

Question 9

Subtract and simplify.
-$\frac { 7 } { 8 } - \frac { 3 } { 8 }$

Accepted Answer

A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 5 } { 8 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 5 } { 8 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 2 }$

Question 10

Find the least common multiple (LCM)of the list of numbers.
-56, 48

Accepted Answer

A) 336 
B) 168 
C) 672 
D) 112 
A) 336 
B) 168 
C) 672 
D) 112

Question 11

Solve. Write the answer in simplest form.
-Find the perimeter of the parallelogram.

Accepted Answer

A)  $\frac { 43 } { 56 } \mathrm {~cm}$ 
B)  $\frac { 43 } { 28 } \mathrm {~cm}$ 
C)  $\frac { 5 } { 56 } \mathrm {~cm}$ 
D)  $\frac { 2 } { 5 } \mathrm {~cm}$ 
A)  $\frac { 43 } { 56 } \mathrm {~cm}$ 
B)  $\frac { 43 } { 28 } \mathrm {~cm}$ 
C)  $\frac { 5 } { 56 } \mathrm {~cm}$ 
D)  $\frac { 2 } { 5 } \mathrm {~cm}$

Question 12

Solve. Write the answer in simplest form.
-Find the perimeter of the triangle.

Accepted Answer

A)  $\frac { 8 } { 65 } \mathrm { mi }$ 
B)  $\frac { 1 } { 11375 } \mathrm { mi }$ 
C)  $\frac { 24 } { 5 } \mathrm { mi }$ 
D)  $\frac { 2039 } { 5460 } \mathrm { mi }$ 
A)  $\frac { 8 } { 65 } \mathrm { mi }$ 
B)  $\frac { 1 } { 11375 } \mathrm { mi }$ 
C)  $\frac { 24 } { 5 } \mathrm { mi }$ 
D)  $\frac { 2039 } { 5460 } \mathrm { mi }$

Question 13

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { equivalent } & \text { least common multiple } & > \
\text { mixed number } & \text { least common denominator } & < \
\text { unlike } & \text { like } & \text { exponent }
\end{array}$$
-The_________  is the smallest number that is a multiple of all numbers in a list of numbers.

Accepted Answer

A) least common denominator 
B) equivalent 
C) mixed number 
D) least common multiple 
A) least common denominator 
B) equivalent 
C) mixed number 
D) least common multiple

Question 14

Perform the indicated operation. Simplify your answers.
-$\begin{array} { r } 
11 \frac { 4 } { 7 } \
- \quad \frac { 6 } { 7 }\\hline
\end{array}$

Accepted Answer

A) 10 $10 \frac { 5 } { 7 }$ 
B)  $10 \frac { 4 } { 7 }$ 
C)  $11 \frac { 5 } { 7 }$ 
D)  $9 \frac { 5 } { 7 }$ 
A) 10 $10 \frac { 5 } { 7 }$ 
B)  $10 \frac { 4 } { 7 }$ 
C)  $11 \frac { 5 } { 7 }$ 
D)  $9 \frac { 5 } { 7 }$

Question 15

Perform the indicated operation. Simplify your answers.
-$\begin{array} { r } 
17 \frac { 2 } { 9 } \\
13 \frac { 7 } { 9 } \\
+ 4 \frac { 4 } { 9 }\\hline
\end{array}$

Accepted Answer

A) 35 
B)  $34 \frac { 4 } { 9 }$ 
C)  $35 \frac { 4 } { 9 }$ 
D)  $36 \frac { 4 } { 9 }$ 
A) 35 
B)  $34 \frac { 4 } { 9 }$ 
C)  $35 \frac { 4 } { 9 }$ 
D)  $36 \frac { 4 } { 9 }$

Question 16

Find the perimeter of each figure. For Exercise 29, find the area also.
-Find the perimeter of the triangle.

Accepted Answer

A) 23 feet 
B)  $19 \frac { 2 } { 5 } \text { feet }$ 
C)  $19 \frac { 5 } { 6 } \text { feet }$ 
D)  $19 \frac { 1 } { 3 } \text { feet }$ 
A) 23 feet 
B)  $19 \frac { 2 } { 5 } \text { feet }$ 
C)  $19 \frac { 5 } { 6 } \text { feet }$ 
D)  $19 \frac { 1 } { 3 } \text { feet }$

Question 17

Solve.
-Jeffery has two packages. One weighsghs $2 \frac { 2 } { 3 }$ ounces, and the other weighsweighs $\frac { 3 } { 10 }$ ounces. ounces. What is the total weight of the two packages?

Accepted Answer

A)  $\frac { 11 } { 13 } \mathrm { oz }$ 
B)  $\frac { 4 } { 5 } \mathrm { oz }$ 
C)  $2 \frac { 29 } { 30 } \mathrm { oz }$ 
D)  $5 \frac { 6 } { 13 } \mathrm { oz }$ 
A)  $\frac { 11 } { 13 } \mathrm { oz }$ 
B)  $\frac { 4 } { 5 } \mathrm { oz }$ 
C)  $2 \frac { 29 } { 30 } \mathrm { oz }$ 
D)  $5 \frac { 6 } { 13 } \mathrm { oz }$

Question 18

Use the order of operations to simplify the expression.
-$\left( \frac { 3 } { 4 } \right) ^ { 2 } \div \left( \frac { 3 } { 4 } - \frac { 1 } { 12 } \right)$

Accepted Answer

A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 27 } { 32 }$ 
C)  $\frac { 27 } { 8 }$ 
D)  $\frac { 3 } { 8 }$ 
A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 27 } { 32 }$ 
C)  $\frac { 27 } { 8 }$ 
D)  $\frac { 3 } { 8 }$

Question 19

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { equivalent } & \text { least common multiple } & > \
\text { mixed number } & \text { least common denominator } & < \
\text { unlike } & \text { like } & \text { exponent }
\end{array}$$
-The LCM of the denominators in a list of fractions is called the_________  .

Accepted Answer

A) mixed number 
B) least common denominator 
C) equivalent 
D) least common multiple 
A) mixed number 
B) least common denominator 
C) equivalent 
D) least common multiple

Question 20

Insertnsert \) to form a true statement.
-$\frac { 22 } { 49 } \quad \frac { 3 } { 7 }$

Accepted Answer

A)  
A)

Add and simplify. - $\frac { 7 } { 17 } + \frac { 5 } { 17 }$

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

Solve. -Kim decided to do some spring cleaning. She spentent $3 \frac { 3 } { 8 }$ hours cleaning her garage on Saturday. The next day she spennt $3 \frac { 5 } { 8 }$ hours cleaning her basement. What was the total amount of time she spent cleaning that weekend?

Solve. -Find the area and perimeter of the figure:

Perform the indicated operation. Simplify your answers. -Find the average off $\frac { 1 } { 6 } , \frac { 3 } { 7 } , \text { and } \frac { 4 } { 3 }$

Perform the indicated operation. - $\frac { 1 } { 6 } + \frac { 1 } { 12 }$

Find the least common multiple (LCM)of the list of numbers. -3, 30

Perform the indicated operation. Simplify your answers. - $\frac { 7 } { 9 } - \frac { 1 } { 12 }$

Subtract and simplify. - $\frac { 7 } { 8 } - \frac { 3 } { 8 }$

Find the least common multiple (LCM)of the list of numbers. -56, 48

Solve. Write the answer in simplest form. -Find the perimeter of the parallelogram.

Solve. Write the answer in simplest form. -Find the perimeter of the triangle.

Fill in the blank with one of the words or phrases listed below. equivalent least common multiple > mixed number least common denominator < unlike like exponent -The_________ is the smallest number that is a multiple of all numbers in a list of numbers.

Perform the indicated operation. Simplify your answers. - 11 -

Perform the indicated operation. Simplify your answers. - 17 13 +4

Find the perimeter of each figure. For Exercise 29, find the area also. -Find the perimeter of the triangle.

Solve. -Jeffery has two packages. One weighsghs $2 \frac { 2 } { 3 }$ ounces, and the other weighsweighs $\frac { 3 } { 10 }$ ounces. ounces. What is the total weight of the two packages?

Use the order of operations to simplify the expression. - $\left( \frac { 3 } { 4 } \right) ^ { 2 } \div \left( \frac { 3 } { 4 } - \frac { 1 } { 12 } \right)$

Fill in the blank with one of the words or phrases listed below. equivalent least common multiple > mixed number least common denominator < unlike like exponent -The LCM of the denominators in a list of fractions is called the_________ .

Insertnsert < or $>$ to form a true statement. - $\frac { 22 } { 49 } \quad \frac { 3 } { 7 }$

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

Add and simplify. - 717+517\frac { 7 } { 17 } + \frac { 5 } { 17 }177​+175​

Use the order of operations to simplify the expression. - 22−(13)22 ^ { 2 } - \left( \frac { 1 } { 3 } \right) ^ { 2 }22−(31​)2

Solve. -Kim decided to do some spring cleaning. She spentent 3383 \frac { 3 } { 8 }383​ hours cleaning her garage on Saturday. The next day she spennt 3583 \frac { 5 } { 8 }385​ hours cleaning her basement. What was the total amount of time she spent cleaning that weekend?