Question 1

Use the order of operations to simplify the expression.
-$\frac { 3 } { 4 } \cdot \left( 1 + \frac { 1 } { 3 } \right)$

Accepted Answer

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

Question 2

Write the fraction as an equivalent fraction with the given denominator.
-$\frac { 7 } { 8 } = \frac { } { 16 }$

Accepted Answer

A)  $\frac { 2 } { 16 }$ 
B)  $\frac { 56 } { 16 }$ 
C)  $\frac { 14 } { 16 }$ 
D)  $\frac { 7 } { 16 }$ 
A)  $\frac { 2 } { 16 }$ 
B)  $\frac { 56 } { 16 }$ 
C)  $\frac { 14 } { 16 }$ 
D)  $\frac { 7 } { 16 }$

Question 3

Find the least common multiple (LCM)of the list of numbers.
-8, 10

Accepted Answer

A) 40 
B) 2 
C) 80 
D) 160 
A) 40 
B) 2 
C) 80 
D) 160

Question 4

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

Accepted Answer

A)  $\frac { 9 } { 16 }$ 
B)  $\frac { 16 } { 9 }$ 
C)  $\frac { 9 } { 4 }$ 
D)  $2 \frac { 3 } { 4 }$ 
A)  $\frac { 9 } { 16 }$ 
B)  $\frac { 16 } { 9 }$ 
C)  $\frac { 9 } { 4 }$ 
D)  $2 \frac { 3 } { 4 }$

Question 5

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

Accepted Answer

A)  $\text { area: } 14 \frac { 25 } { 36 } \mathrm {~m} ^ { 2 } \text {; perimeter: } 15 \frac { 1 } { 3 } \mathrm {~m}$ 
B)  $\text { area: } 7 \frac { 2 } { 3 } \mathrm {~m} ^ { 2 } \text {; perimeter: } 12 \frac { 5 } { 6 } \mathrm {~m}$ 
C)  $\text { area: } 9 \frac { 25 } { 36 } \mathrm {~m} ^ { 2 } \text {; perimeter: } 15 \frac { 1 } { 3 } \mathrm {~m}$ 
D)  $\text { area: } 9 \frac { 25 } { 36 } \mathrm {~m} ^ { 2 } \text {; perimeter: } 12 \frac { 5 } { 6 } \mathrm {~m}$ 
A)  $\text { area: } 14 \frac { 25 } { 36 } \mathrm {~m} ^ { 2 } \text {; perimeter: } 15 \frac { 1 } { 3 } \mathrm {~m}$ 
B)  $\text { area: } 7 \frac { 2 } { 3 } \mathrm {~m} ^ { 2 } \text {; perimeter: } 12 \frac { 5 } { 6 } \mathrm {~m}$ 
C)  $\text { area: } 9 \frac { 25 } { 36 } \mathrm {~m} ^ { 2 } \text {; perimeter: } 15 \frac { 1 } { 3 } \mathrm {~m}$ 
D)  $\text { area: } 9 \frac { 25 } { 36 } \mathrm {~m} ^ { 2 } \text {; perimeter: } 12 \frac { 5 } { 6 } \mathrm {~m}$

Question 6

Solve. Write the answer in simplest form.
-A construction crew replacednstruction crew replaced $\frac { 1 } { 5 }$ mi mile of sewer line in the process of updating a section of a road. Another crew replacedced $\frac { 53 } { 220 }$ mile of sewer line wh mile of sewer line while working on the same project. How much longer was the sewer line that
The second crew replaced?

Accepted Answer

A)  $\frac { 13 } { 55 } \mathrm { mi }$ 
B)  $\frac { 9 } { 220 } \mathrm { mi }$ 
C)  $\frac { 45 } { 1100 } \mathrm { mi }$ 
D)  $\frac { 13 } { 275 } \mathrm { mi }$ 
A)  $\frac { 13 } { 55 } \mathrm { mi }$ 
B)  $\frac { 9 } { 220 } \mathrm { mi }$ 
C)  $\frac { 45 } { 1100 } \mathrm { mi }$ 
D)  $\frac { 13 } { 275 } \mathrm { mi }$

Question 7

Subtract and simplify.
-$\frac { 53 } { 90 } - \frac { 25 } { 90 }$

Accepted Answer

A)  $14 \frac { 13 } { 18 }$ 
B)  $\frac { 7 } { 45 }$ 
C)  $\frac { 13 } { 15 }$ 
D)  $\frac { 14 } { 45 }$ 
A)  $14 \frac { 13 } { 18 }$ 
B)  $\frac { 7 } { 45 }$ 
C)  $\frac { 13 } { 15 }$ 
D)  $\frac { 14 } { 45 }$

Question 8

Solve.
-Find the perimeter of the triangle.

Accepted Answer

A)  $20 \frac { 2 } { 11 } \text { feet }$ 
B)  $20 \frac { 11 } { 18 } \text { feet }$ 
C)  $20 \frac { 1 } { 9 } \text { feet }$ 
D)  $32 \frac { 9 } { 11 } \text { feet }$ 
A)  $20 \frac { 2 } { 11 } \text { feet }$ 
B)  $20 \frac { 11 } { 18 } \text { feet }$ 
C)  $20 \frac { 1 } { 9 } \text { feet }$ 
D)  $32 \frac { 9 } { 11 } \text { feet }$

Question 9

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { equivalent } & \text { least common multiple } & > \
\text { mixed number } & \text { least common denominator } & < \
\text { unlike } & \text { like } & \text { exponent }
\end{array}$$
-A(n)_________ has a whole number part and a fraction part.

Accepted Answer

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

Question 10

Perform the indicated operation. Simplify your answers.
-$\frac { 5 } { 8 } + \frac { 1 } { 8 }$

Accepted Answer

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

Question 11

Find the least common multiple (LCM)of the list of numbers.
-60, 40, 70

Accepted Answer

A) 280 
B) 840 
C) 420 
D) 120 
A) 280 
B) 840 
C) 420 
D) 120

Question 12

Use the order of operations to simplify the expression.
-$\frac { 1 } { 3 } + \frac { 1 } { 6 } \cdot \frac { 1 } { 4 }$

Accepted Answer

A)  $\frac { 11 } { 9 }$ 
B)  $\frac { 3 } { 8 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 1 } { 36 }$ 
A)  $\frac { 11 } { 9 }$ 
B)  $\frac { 3 } { 8 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 1 } { 36 }$

Question 13

Find the least common multiple (LCM)of the list of numbers.
-Find the LCM of 20 and 6.

Accepted Answer

A) 240 
B) 2 
C) 60 
D) 120 
A) 240 
B) 2 
C) 60 
D) 120

Question 14

Solve.
-Jerry caught a fish that weighedhat weighed $14 \frac { 4 } { 9 }$ pounds. Pat caught a fish that weighedd $7 \frac { 5 } { 9 }$ pounds. How much more did Jerry's fish weigh than Pat's fish?

Accepted Answer

A)  $6 \frac { 8 } { 9 }$ pounds pound 
B)  $21 \frac { 8 } { 9 }$ pounds 
C)  $6 \frac { 7 } { 9 }$ pound pounds 
D)  $20 \frac { 8 } { 9 }$ pound pounds 
A)  $6 \frac { 8 } { 9 }$ pounds pound 
B)  $21 \frac { 8 } { 9 }$ pounds 
C)  $6 \frac { 7 } { 9 }$ pound pounds 
D)  $20 \frac { 8 } { 9 }$ pound pounds

Question 15

Perform the indicated operation. Simplify your answers.
-$\frac { 1 } { 6 } \cdot \left( 10 \frac { 1 } { 2 } - \frac { 1 } { 3 } \right)$

Accepted Answer

A)  $\frac { 17 } { 12 }$ 
B)  $\frac { 61 } { 36 }$ 
C)  $\frac { 65 } { 36 }$ 
D) 61 
A)  $\frac { 17 } { 12 }$ 
B)  $\frac { 61 } { 36 }$ 
C)  $\frac { 65 } { 36 }$ 
D) 61

Question 16

Subtract and simplify.
-$\frac { 1 } { 6 } - \frac { 1 } { 11 }$

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 5 } { 66 }$ 
C)  $\frac { 1 } { 66 }$ 
D)  $\frac { 5 } { 6 }$ 
A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 5 } { 66 }$ 
C)  $\frac { 1 } { 66 }$ 
D)  $\frac { 5 } { 6 }$

Question 17

Find the average of the list of numbers.
-$\frac { 2 } { 3 } , \frac { 4 } { 7 } , \text { and } \frac { 1 } { 9 }$

Accepted Answer

A)  $\frac { 85 } { 21 }$ 
B)  $\frac { 85 } { 126 }$ 
C)  $\frac { 85 } { 189 }$ 
D)  $\frac { 85 } { 63 }$ 
A)  $\frac { 85 } { 21 }$ 
B)  $\frac { 85 } { 126 }$ 
C)  $\frac { 85 } { 189 }$ 
D)  $\frac { 85 } { 63 }$

Question 18

Use the order of operations to simplify the expression.
-$\left( \frac { 2 } { 3 } \right) ^ { 2 } + \left( \frac { 2 } { 3 } - \frac { 1 } { 6 } \right)$

Accepted Answer

A)  $\frac { 4 } { 3 }$ 
B)  $\frac { 8 } { 9 }$ 
C)  $\frac { 4 } { 9 }$ 
D)  $\frac { 2 } { 9 }$ 
A)  $\frac { 4 } { 3 }$ 
B)  $\frac { 8 } { 9 }$ 
C)  $\frac { 4 } { 9 }$ 
D)  $\frac { 2 } { 9 }$

Question 19

Perform the indicated operation. Simplify your answers.
-$\begin{array} { c } 
12 \
- \quad 8 \frac { 3 } { 7 }\\hline
\end{array}$

Accepted Answer

A)  $4 \frac { 4 } { 7 }$ 
B)  $11 \frac { 4 } { 7 }$ 
C)  $3 \frac { 4 } { 7 }$ 
D)  $4 \frac { 3 } { 7 }$ 
A)  $4 \frac { 4 } { 7 }$ 
B)  $11 \frac { 4 } { 7 }$ 
C)  $3 \frac { 4 } { 7 }$ 
D)  $4 \frac { 3 } { 7 }$

Question 20

Perform the indicated operation. Simplify your answers.
-$\frac { 1 } { 5 } + \frac { 1 } { 20 }$

Accepted Answer

A)  $\frac { 1 } { 10 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 2 } { 25 }$ 
D)  $\frac { 13 } { 50 }$ 
A)  $\frac { 1 } { 10 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 2 } { 25 }$ 
D)  $\frac { 13 } { 50 }$

Use the order of operations to simplify the expression. - $\frac { 3 } { 4 } \cdot \left( 1 + \frac { 1 } { 3 } \right)$

Write the fraction as an equivalent fraction with the given denominator. - $\frac { 7 } { 8 } = \frac { } { 16 }$

Find the least common multiple (LCM)of the list of numbers. -8, 10

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

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

Subtract and simplify. - $\frac { 53 } { 90 } - \frac { 25 } { 90 }$

Solve. -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 -A(n)_________ has a whole number part and a fraction part.

Perform the indicated operation. Simplify your answers. - $\frac { 5 } { 8 } + \frac { 1 } { 8 }$

Find the least common multiple (LCM)of the list of numbers. -60, 40, 70

Use the order of operations to simplify the expression. - $\frac { 1 } { 3 } + \frac { 1 } { 6 } \cdot \frac { 1 } { 4 }$

Find the least common multiple (LCM)of the list of numbers. -Find the LCM of 20 and 6.

Solve. -Jerry caught a fish that weighedhat weighed $14 \frac { 4 } { 9 }$ pounds. Pat caught a fish that weighedd $7 \frac { 5 } { 9 }$ pounds. How much more did Jerry's fish weigh than Pat's fish?

Perform the indicated operation. Simplify your answers. - $\frac { 1 } { 6 } \cdot \left( 10 \frac { 1 } { 2 } - \frac { 1 } { 3 } \right)$

Subtract and simplify. - $\frac { 1 } { 6 } - \frac { 1 } { 11 }$

Find the average of the list of numbers. - $\frac { 2 } { 3 } , \frac { 4 } { 7 } , \text { and } \frac { 1 } { 9 }$

Use the order of operations to simplify the expression. - $\left( \frac { 2 } { 3 } \right) ^ { 2 } + \left( \frac { 2 } { 3 } - \frac { 1 } { 6 } \right)$

Perform the indicated operation. Simplify your answers. - 12 -8

Perform the indicated operation. Simplify your answers. - $\frac { 1 } { 5 } + \frac { 1 } { 20 }$

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

Use the order of operations to simplify the expression. - 34⋅(1+13)\frac { 3 } { 4 } \cdot \left( 1 + \frac { 1 } { 3 } \right)43​⋅(1+31​)

Write the fraction as an equivalent fraction with the given denominator. - 78=16\frac { 7 } { 8 } = \frac { } { 16 }87​=16​