Question 1

Simplify the fraction.
-$\frac { 75 } { 100 }$

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 25 } { 4 }$ 
C)  $\frac { 3 } { 25 }$ 
D)  $\frac { 75 } { 100 }$ 
A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 25 } { 4 }$ 
C)  $\frac { 3 } { 25 }$ 
D)  $\frac { 75 } { 100 }$ A

Question 2

Determine whether all ordered pairs listed will lie within a standard viewing rectangle.
-$$( - 8,9 ) , ( 1,2 ) , ( 0 , - 2 )$$

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no A

Question 3

Add or subtract as indicated.
-$$\frac { 11 } { 15 } + \frac { 1 } { 25 }$$

Accepted Answer

A)  $\frac { 58 } { 75 }$ 
B)  $\frac { 29 } { 20 }$ 
C)  $\frac { 56 } { 75 }$ 
D)  $\frac { 4 } { 25 }$ 
A)  $\frac { 58 } { 75 }$ 
B)  $\frac { 29 } { 20 }$ 
C)  $\frac { 56 } { 75 }$ 
D)  $\frac { 4 } { 25 }$ A

Question 4

Add or subtract as indicated.
-$$\frac { 3 } { 20 } + \frac { 3 } { 20 }$$

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 3 } { 10 }$ 
C)  $\frac { 2 } { 9 }$ 
D)  $\frac { 4 } { 11 }$ 
A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 3 } { 10 }$ 
C)  $\frac { 2 } { 9 }$ 
D)  $\frac { 4 } { 11 }$

Question 5

Add or subtract as indicated.
-$$\frac { 5 } { 9 } + \frac { 5 } { 13 }$$

Accepted Answer

A)  $\frac { 5 } { 11 }$ 
B)  $\frac { 110 } { 11 }$ 
C)  $\frac { 5 } { 117 }$ 
D)  $\frac { 110 } { 117 }$ 
A)  $\frac { 5 } { 11 }$ 
B)  $\frac { 110 } { 11 }$ 
C)  $\frac { 5 } { 117 }$ 
D)  $\frac { 110 } { 117 }$

Question 6

Evaluate.
-$$\left| \begin{array} { l l l } 
3 & 6 & 4 \
1 & 5 & 5 \
2 & 5 & 2
\end{array} \right|$$

Accepted Answer

A)  17 
B)  $- 17$ 
C)  $- 137$ 
D)  237 
A)  17 
B)  $- 17$ 
C)  $- 137$ 
D)  237

Question 7

Use Cramer's Rule, if possible, to solve the system of linear equations.
-$$\left\{ \begin{array} { r } 
- 2 x + 2 y = 16 \
4 x + 4 y = 40
\end{array} \right.$$

Accepted Answer

A)  $( 9,1 )$ 
B)  $( 1,9 )$ 
C)  $( - 9,1 )$ 
D)  $( - 1 , - 9 )$ 
A)  $( 9,1 )$ 
B)  $( 1,9 )$ 
C)  $( - 9,1 )$ 
D)  $( - 1 , - 9 )$

Question 8

Solve.
-Barat walked $\frac { 1 } { 24 }$ mile to his biology class, $\frac { 3 } { 24 }$ mile to his art class, $\frac { 4 } { 24 }$ mile to his calculus class, and then back to his dormitory. If he walked 1 mile altogether, how far did he walk from his calculus class to his dormitory?

Accepted Answer

A)  $\frac { 5 } { 6 } \mathrm { mi }$ 
B)  $\frac { 19 } { 24 } \mathrm { mi }$ 
C)  $\frac { 1 } { 3 } \mathrm { mi }$ 
D)  $\frac { 2 } { 3 } \mathrm { mi }$ 
A)  $\frac { 5 } { 6 } \mathrm { mi }$ 
B)  $\frac { 19 } { 24 } \mathrm { mi }$ 
C)  $\frac { 1 } { 3 } \mathrm { mi }$ 
D)  $\frac { 2 } { 3 } \mathrm { mi }$

Question 9

Simplify the fraction.
-$\frac { 30 } { 50 }$

Accepted Answer

A)  $\frac { 10 } { 5 }$ 
B)  $\frac { 30 } { 50 }$ 
C)  $\frac { 3 } { 10 }$ 
D)  $\frac { 3 } { 5 }$ 
A)  $\frac { 10 } { 5 }$ 
B)  $\frac { 30 } { 50 }$ 
C)  $\frac { 3 } { 10 }$ 
D)  $\frac { 3 } { 5 }$

Question 10

Multiply or divide as indicated.
-$$5 \cdot \frac { 71 } { 20 }$$

Accepted Answer

A)  $15 \frac { 11 } { 20 }$ 
B)  $16 \frac { 3 } { 4 }$ 
C)  $17 \frac { 3 } { 4 }$ 
D)  15 
A)  $15 \frac { 11 } { 20 }$ 
B)  $16 \frac { 3 } { 4 }$ 
C)  $17 \frac { 3 } { 4 }$ 
D)  15

Question 11

Simplify the fraction.
-$\frac { 16 } { 72 }$

Accepted Answer

A)  $\frac { 2 } { 9 }$ 
B)  $\frac { 8 } { 9 }$ 
C)  $\frac { 2 } { 8 }$ 
D)  $\frac { 16 } { 72 }$ 
A)  $\frac { 2 } { 9 }$ 
B)  $\frac { 8 } { 9 }$ 
C)  $\frac { 2 } { 8 }$ 
D)  $\frac { 16 } { 72 }$

Question 12

Add or subtract as indicated.
-$\frac { 4 } { 9 } + \frac { 1 } { 5 }$

Accepted Answer

A)  $\frac { 29 } { 45 }$ 
B)  $\frac { 41 } { 45 }$ 
C)  $\frac { 5 } { 14 }$ 
D)  $\frac { 1 } { 9 }$ 
A)  $\frac { 29 } { 45 }$ 
B)  $\frac { 41 } { 45 }$ 
C)  $\frac { 5 } { 14 }$ 
D)  $\frac { 1 } { 9 }$

Question 13

Perform the indicated operation.
-$$19 \frac { 3 } { 5 } + 10 \frac { 3 } { 8 }$$

Accepted Answer

A)  $29 \frac { 39 } { 40 }$ 
B)  $28 \frac { 39 } { 40 }$ 
C)  $19 \frac { 39 } { 40 }$ 
D)  $30 \frac { 39 } { 40 }$ 
A)  $29 \frac { 39 } { 40 }$ 
B)  $28 \frac { 39 } { 40 }$ 
C)  $19 \frac { 39 } { 40 }$ 
D)  $30 \frac { 39 } { 40 }$

Question 14

Perform the indicated operation.
-$2 \frac { 3 } { 7 } \div \frac { 1 } { 7 }$

Accepted Answer

A)  5 
B)  $14 \frac { 3 } { 7 }$ 
C)  17 
D)  $\frac { 17 } { 49 }$ 
A)  5 
B)  $14 \frac { 3 } { 7 }$ 
C)  17 
D)  $\frac { 17 } { 49 }$

Question 15

Write the word or phrase that best completes each statement or answers the question.
If lines m and n are parallel, find the measures of angles 1 through 5.
-$$68 \frac { 1 } { 3 } ^ { \circ }$$

Accepted Answer

The answer of  Write the word or phrase that...

Question 16

Evaluate.
-$$\left| \begin{array} { l l l } 
2 & 0 & 0 \
7 & 4 & 2 \
5 & 4 & 8
\end{array} \right|$$

Accepted Answer

A)  $- 48$ 
B)  80 
C)  48 
D)  53 
A)  $- 48$ 
B)  80 
C)  48 
D)  53

Question 17

Simplify the fraction.
-$\frac { 5 } { 15 }$

Accepted Answer

A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $\frac { 5 } { 15 }$ 
A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $\frac { 5 } { 15 }$

Question 18

Use Cramer's Rule, if possible, to solve the system of linear equations.
-$$\left\{ \begin{array} { l } 
x + y = 7 \
6 x + 6 y = 42
\end{array} \right.$$

Accepted Answer

A)  $( 2,5 )$ 
B)  $( 0,0 )$ 
C)  $\{ ( x , y ) \mid x + y = 7 \}$ 
D)  $\varnothing$ 
A)  $( 2,5 )$ 
B)  $( 0,0 )$ 
C)  $\{ ( x , y ) \mid x + y = 7 \}$ 
D)  $\varnothing$

Question 19

Use Cramer's Rule, if possible, to solve the system of linear equations.
-$$\left\{ \begin{array} { l } 
8 x + 2 y = \frac { 16 } { 5 } \
5 x - 5 y = 5
\end{array} \right.$$

Accepted Answer

A)  $\left( \frac { 13 } { 25 } , \frac { 38 } { 25 } \right)$ 
B)  $\left( - \frac { 13 } { 25 } , - \frac { 12 } { 25 } \right)$ 
C)  $\left( \frac { 13 } { 25 } , - \frac { 12 } { 25 } \right)$ 
D)  not possible 
A)  $\left( \frac { 13 } { 25 } , \frac { 38 } { 25 } \right)$ 
B)  $\left( - \frac { 13 } { 25 } , - \frac { 12 } { 25 } \right)$ 
C)  $\left( \frac { 13 } { 25 } , - \frac { 12 } { 25 } \right)$ 
D)  not possible

Question 20

Solve.
-The total length of a canoe race is $\frac { 8 } { 14 }$ of a mile. Sunee has completed $\frac { 2 } { 14 }$ of a mile. How much does she have left to complete?

Accepted Answer

A)  $\frac { 1 } { 7 } \mathrm { mi }$ 
B)  $\frac { 3 } { 7 } \mathrm { mi }$ 
C)  $\frac { 5 } { 7 } \mathrm { mi }$ 
D)  $\frac { 4 } { 7 } \mathrm { mi }$ 
A)  $\frac { 1 } { 7 } \mathrm { mi }$ 
B)  $\frac { 3 } { 7 } \mathrm { mi }$ 
C)  $\frac { 5 } { 7 } \mathrm { mi }$ 
D)  $\frac { 4 } { 7 } \mathrm { mi }$

Simplify the fraction. - $\frac { 75 } { 100 }$

Determine whether all ordered pairs listed will lie within a standard viewing rectangle. - $( - 8,9 ) , ( 1,2 ) , ( 0 , - 2 )$

Add or subtract as indicated. - $\frac { 11 } { 15 } + \frac { 1 } { 25 }$

Add or subtract as indicated. - $\frac { 3 } { 20 } + \frac { 3 } { 20 }$

Add or subtract as indicated. - $\frac { 5 } { 9 } + \frac { 5 } { 13 }$

Evaluate. - $\left| \begin{array} { l l l } 3 & 6 & 4 \\1 & 5 & 5 \\2 & 5 & 2\end{array} \right|$

Use Cramer's Rule, if possible, to solve the system of linear equations. - $\left\{ \begin{array} { r } - 2 x + 2 y = 16 \\4 x + 4 y = 40\end{array} \right.$

Solve. -Barat walked $\frac { 1 } { 24 }$ mile to his biology class, $\frac { 3 } { 24 }$ mile to his art class, $\frac { 4 } { 24 }$ mile to his calculus class, and then back to his dormitory. If he walked 1 mile altogether, how far did he walk from his calculus class to his dormitory?

Simplify the fraction. - $\frac { 30 } { 50 }$

Multiply or divide as indicated. - $5 \cdot \frac { 71 } { 20 }$

Simplify the fraction. - $\frac { 16 } { 72 }$

Add or subtract as indicated. - $\frac { 4 } { 9 } + \frac { 1 } { 5 }$

Perform the indicated operation. - $19 \frac { 3 } { 5 } + 10 \frac { 3 } { 8 }$

Perform the indicated operation. - $2 \frac { 3 } { 7 } \div \frac { 1 } { 7 }$

Write the word or phrase that best completes each statement or answers the question. If lines m and n are parallel, find the measures of angles 1 through 5. - $68 \frac { 1 } { 3 } ^ { \circ }$

Evaluate. - $\left| \begin{array} { l l l } 2 & 0 & 0 \\7 & 4 & 2 \\5 & 4 & 8\end{array} \right|$

Simplify the fraction. - $\frac { 5 } { 15 }$

Use Cramer's Rule, if possible, to solve the system of linear equations. - $\left\{ \begin{array} { l } x + y = 7 \\6 x + 6 y = 42\end{array} \right.$

Use Cramer's Rule, if possible, to solve the system of linear equations. - $\left\{ \begin{array} { l } 8 x + 2 y = \frac { 16 } { 5 } \\5 x - 5 y = 5\end{array} \right.$

Solve. -The total length of a canoe race is $\frac { 8 } { 14 }$ of a mile. Sunee has completed $\frac { 2 } { 14 }$ of a mile. How much does she have left to complete?

Real Numbers and Algebraic Expressions

Equations, Inequalities, and Problem Solving

Graphs and Functions

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Polynomials and Polynomial Functions

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Exponential and Logarithmic Functions

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Exam 11: Fractions

Simplify the fraction. - 75100\frac { 75 } { 100 }10075​

Determine whether all ordered pairs listed will lie within a standard viewing rectangle. - (−8,9),(1,2),(0,−2)( - 8,9 ) , ( 1,2 ) , ( 0 , - 2 )(−8,9),(1,2),(0,−2)

Add or subtract as indicated. - 1115+125\frac { 11 } { 15 } + \frac { 1 } { 25 }1511​+251​

Add or subtract as indicated. - 320+320\frac { 3 } { 20 } + \frac { 3 } { 20 }203​+203​

Add or subtract as indicated. - 59+513\frac { 5 } { 9 } + \frac { 5 } { 13 }95​+135​

Evaluate. - ∣364155252∣\left| \begin{array} { l l l } 3 & 6 & 4 \\1 & 5 & 5 \\2 & 5 & 2\end{array} \right|​312​655​452​​

Use Cramer's Rule, if possible, to solve the system of linear equations. - {−2x+2y=164x+4y=40\left\{ \begin{array} { r } - 2 x + 2 y = 16 \\4 x + 4 y = 40\end{array} \right.{−2x+2y=164x+4y=40​

Simplify the fraction. - 3050\frac { 30 } { 50 }5030​

Multiply or divide as indicated. - 5⋅71205 \cdot \frac { 71 } { 20 }5⋅2071​

Simplify the fraction. - 1672\frac { 16 } { 72 }7216​

Add or subtract as indicated. - 49+15\frac { 4 } { 9 } + \frac { 1 } { 5 }94​+51​

Perform the indicated operation. - 1935+103819 \frac { 3 } { 5 } + 10 \frac { 3 } { 8 }1953​+1083​

Perform the indicated operation. - 237÷172 \frac { 3 } { 7 } \div \frac { 1 } { 7 }273​÷71​

Write the word or phrase that best completes each statement or answers the question. If lines m and n are parallel, find the measures of angles 1 through 5. - 6813∘68 \frac { 1 } { 3 } ^ { \circ }6831​∘

Evaluate. - ∣200742548∣\left| \begin{array} { l l l } 2 & 0 & 0 \\7 & 4 & 2 \\5 & 4 & 8\end{array} \right|​275​044​028​​

Simplify the fraction. - 515\frac { 5 } { 15 }155​

Use Cramer's Rule, if possible, to solve the system of linear equations. - {x+y=76x+6y=42\left\{ \begin{array} { l } x + y = 7 \\6 x + 6 y = 42\end{array} \right.{x+y=76x+6y=42​

Use Cramer's Rule, if possible, to solve the system of linear equations. - {8x+2y=1655x−5y=5\left\{ \begin{array} { l } 8 x + 2 y = \frac { 16 } { 5 } \\5 x - 5 y = 5\end{array} \right.{8x+2y=516​5x−5y=5​

Solve. -The total length of a canoe race is 814\frac { 8 } { 14 }148​ of a mile. Sunee has completed 214\frac { 2 } { 14 }142​ of a mile. How much does she have left to complete?