Question 1

The circle represents a whole, or 1. Determine the unknown part of the circle.
-

Accepted Answer

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

Question 2

Add or subtract as indicated.
-$\frac { 5 } { 9 } + \frac { 1 } { 3 } - \frac { 1 } { 6 }$

Accepted Answer

A)  $\frac { 13 } { 9 }$ 
B)  $\frac { 19 } { 9 }$ 
C)  $\frac { 19 } { 18 }$ 
D)  $\frac { 13 } { 18 }$ 
A)  $\frac { 13 } { 9 }$ 
B)  $\frac { 19 } { 9 }$ 
C)  $\frac { 19 } { 18 }$ 
D)  $\frac { 13 } { 18 }$

Question 3

Simplify the fraction.
-$\frac { 132 } { 143 }$

Accepted Answer

A)  $\frac { 132 } { 143 }$ 
B)  $\frac { 12 } { 11 }$ 
C)  $\frac { 12 } { 13 }$ 
D)  $\frac { 11 } { 13 }$ 
A)  $\frac { 132 } { 143 }$ 
B)  $\frac { 12 } { 11 }$ 
C)  $\frac { 12 } { 13 }$ 
D)  $\frac { 11 } { 13 }$

Question 4

Multiply or divide as indicated.
-$\frac { 13 } { 6 } \cdot \frac { 3 } { 8 }$

Accepted Answer

A)  $2 \frac { 3 } { 48 }$ 
B)  $\frac { 13 } { 16 }$ 
C)  $\frac { 11 } { 16 }$ 
D)  $1 \frac { 13 } { 16 }$ 
A)  $2 \frac { 3 } { 48 }$ 
B)  $\frac { 13 } { 16 }$ 
C)  $\frac { 11 } { 16 }$ 
D)  $1 \frac { 13 } { 16 }$

Question 5

Simplify the fraction.
-$\frac { 21 } { 28 }$

Accepted Answer

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

Question 6

Find the supplement of the angle.
-$107 ^ { \circ }$

Accepted Answer

A)  $253 ^ { \circ }$ 
B)  $73 ^ { \circ }$ 
C)  $197 ^ { \circ }$ 
D)  $163 ^ { \circ }$ 
A)  $253 ^ { \circ }$ 
B)  $73 ^ { \circ }$ 
C)  $197 ^ { \circ }$ 
D)  $163 ^ { \circ }$

Question 7

Solve.
-Last week, Samantha ran 20 miles. This week, she ran $18 \frac { 2 } { 3 }$ miles. How much more did she run last week?

Accepted Answer

A)  $25 \frac { 1 } { 3 }$ miles 
B)  $1 \frac { 3 } { 7 }$ miles 
C)  $1 \frac { 1 } { 3 }$ miles 
D)  $38 \frac { 2 } { 3 }$ miles 
A)  $25 \frac { 1 } { 3 }$ miles 
B)  $1 \frac { 3 } { 7 }$ miles 
C)  $1 \frac { 1 } { 3 }$ miles 
D)  $38 \frac { 2 } { 3 }$ miles

Question 8

Find the complement of the angle.
-$$46 \frac { 1 } { 3 } ^ { 0 }$$

Accepted Answer

A)  $133 \frac { 2 } { 3 } ^ { \circ }$ 
B)  $44 ^ { \circ }$ 
C)  $43 \frac { 2 } { 3 } ^ { \circ }$ 
D)  $90 ^ { \circ }$ 
A)  $133 \frac { 2 } { 3 } ^ { \circ }$ 
B)  $44 ^ { \circ }$ 
C)  $43 \frac { 2 } { 3 } ^ { \circ }$ 
D)  $90 ^ { \circ }$

Question 9

Add or subtract as indicated.
-$$\frac { 9 } { 14 } - \frac { 8 } { 35 }$$

Accepted Answer

A)  $\frac { 1 } { 70 }$ 
B)  $\frac { 29 } { 490 }$ 
C)  $\frac { 29 } { 70 }$ 
D)  $\frac { 37 } { 70 }$ 
A)  $\frac { 1 } { 70 }$ 
B)  $\frac { 29 } { 490 }$ 
C)  $\frac { 29 } { 70 }$ 
D)  $\frac { 37 } { 70 }$

Question 10

Write the fraction as an equivalent fraction with the given denominator.
$\frac { 4 } { 9 }$ with a denominator of 45

Accepted Answer

A)  $\frac { 5 } { 45 }$ 
B)  $\frac { 4 } { 45 }$ 
C)  $\frac { 36 } { 45 }$ 
D)  $\frac { 20 } { 45 }$ 
A)  $\frac { 5 } { 45 }$ 
B)  $\frac { 4 } { 45 }$ 
C)  $\frac { 36 } { 45 }$ 
D)  $\frac { 20 } { 45 }$

Question 11

Find the complement of the angle.
-$63 ^ { \circ }$

Accepted Answer

A)  $207 ^ { \circ }$ 
B)  $297 ^ { \circ }$ 
C)  $117 ^ { \circ }$ 
D)  $27 ^ { \circ }$ 
A)  $207 ^ { \circ }$ 
B)  $297 ^ { \circ }$ 
C)  $117 ^ { \circ }$ 
D)  $27 ^ { \circ }$

Question 12

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.
-

Accepted Answer

A)  6 
B)  3 
C)  4 
D)  9 
A)  6 
B)  3 
C)  4 
D)  9

Question 13

Simplify the fraction.
-$\frac { 242 } { 1022 }$

Accepted Answer

A)  $\frac { 242 } { 1022 }$ 
B)  $\frac { 340 } { 80 }$ 
C)  $\frac { 121 } { 511 }$ 
D)  $\frac { 80 } { 340 }$ 
A)  $\frac { 242 } { 1022 }$ 
B)  $\frac { 340 } { 80 }$ 
C)  $\frac { 121 } { 511 }$ 
D)  $\frac { 80 } { 340 }$

Question 14

Simplify the fraction.
-$\frac { 84 } { 108 }$

Accepted Answer

A)  $\frac { 7 } { 12 }$ 
B)  $\frac { 84 } { 108 }$ 
C)  $\frac { 7 } { 9 }$ 
D)  $\frac { 12 } { 9 }$ 
A)  $\frac { 7 } { 12 }$ 
B)  $\frac { 84 } { 108 }$ 
C)  $\frac { 7 } { 9 }$ 
D)  $\frac { 12 } { 9 }$

Question 15

The graph of the equation is a line. Use a graphing utility and a standard viewing window to graph the equation.
-$y=-4$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 16

Use Cramer's Rule, if possible, to solve the system of linear equations.
-$$\left\{ \begin{array} { l } 
4 x - 7 y = 5 \
2 x + 5 y = - 3
\end{array} \right.$$

Accepted Answer

A)  $\left( - \frac { 2 } { 17 } , \frac { 11 } { 17 } \right)$ 
B)  $\left( \frac { 23 } { 3 } , - \frac { 11 } { 3 } \right)$ 
C)  $\left( \frac { 2 } { 3 } , \frac { 1 } { 3 } \right)$ 
D)  $\left( \frac { 2 } { 17 } , - \frac { 11 } { 17 } \right)$ 
A)  $\left( - \frac { 2 } { 17 } , \frac { 11 } { 17 } \right)$ 
B)  $\left( \frac { 23 } { 3 } , - \frac { 11 } { 3 } \right)$ 
C)  $\left( \frac { 2 } { 3 } , \frac { 1 } { 3 } \right)$ 
D)  $\left( \frac { 2 } { 17 } , - \frac { 11 } { 17 } \right)$

Question 17

Evaluate the determinant.
-$$\left| \begin{array} { c c } 
12 & - 7 \
- 4 & 3
\end{array} \right|$$

Accepted Answer

A)  64 
B)  8 
C)  4 
D)  $- 8$ 
A)  64 
B)  8 
C)  4 
D)  $- 8$

Question 18

Use Cramer's Rule, if possible, to solve the system of linear equations.
-$$\left\{ \begin{array} { l } 
x + 4 y = 12 \
\frac { 1 } { 2 } x - y = - 10
\end{array} \right.$$

Accepted Answer

A)  $\left( - \frac { 28 } { 3 } , \frac { 16 } { 3 } \right)$ 
B)  $\left( \frac { 52 } { 3 } , \frac { 56 } { 3 } \right)$ 
C)  $( 28,24 )$ 
D)  not possible 
A)  $\left( - \frac { 28 } { 3 } , \frac { 16 } { 3 } \right)$ 
B)  $\left( \frac { 52 } { 3 } , \frac { 56 } { 3 } \right)$ 
C)  $( 28,24 )$ 
D)  not possible

Question 19

Add or subtract as indicated.
-$$\frac { 15 } { 74 } + \frac { 13 } { 74 }$$

Accepted Answer

A)  $\frac { 13 } { 36 }$ 
B)  $\frac { 15 } { 38 }$ 
C)  $\frac { 13 } { 37 }$ 
D)  $\frac { 14 } { 37 }$ 
A)  $\frac { 13 } { 36 }$ 
B)  $\frac { 15 } { 38 }$ 
C)  $\frac { 13 } { 37 }$ 
D)  $\frac { 14 } { 37 }$

Question 20

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

Accepted Answer

A)  $- 15$ 
B)  85 
C)  $- 123$ 
D)  15 
A)  $- 15$ 
B)  85 
C)  $- 123$ 
D)  15

The circle represents a whole, or 1. Determine the unknown part of the circle. -

Add or subtract as indicated. - $\frac { 5 } { 9 } + \frac { 1 } { 3 } - \frac { 1 } { 6 }$

Simplify the fraction. - $\frac { 132 } { 143 }$

Multiply or divide as indicated. - $\frac { 13 } { 6 } \cdot \frac { 3 } { 8 }$

Simplify the fraction. - $\frac { 21 } { 28 }$

Find the supplement of the angle. - $107 ^ { \circ }$

Solve. -Last week, Samantha ran 20 miles. This week, she ran $18 \frac { 2 } { 3 }$ miles. How much more did she run last week?

Find the complement of the angle. - $46 \frac { 1 } { 3 } ^ { 0 }$

Add or subtract as indicated. - $\frac { 9 } { 14 } - \frac { 8 } { 35 }$

Write the fraction as an equivalent fraction with the given denominator. $\frac { 4 } { 9 }$ with a denominator of 45

Find the complement of the angle. - $63 ^ { \circ }$

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. -

Simplify the fraction. - $\frac { 242 } { 1022 }$

Simplify the fraction. - $\frac { 84 } { 108 }$

The graph of the equation is a line. Use a graphing utility and a standard viewing window to graph the equation. - $y=-4$

Use Cramer's Rule, if possible, to solve the system of linear equations. - $\left\{ \begin{array} { l } 4 x - 7 y = 5 \\2 x + 5 y = - 3\end{array} \right.$

Evaluate the determinant. - $\left| \begin{array} { c c } 12 & - 7 \\- 4 & 3\end{array} \right|$

Use Cramer's Rule, if possible, to solve the system of linear equations. - $\left\{ \begin{array} { l } x + 4 y = 12 \\\frac { 1 } { 2 } x - y = - 10\end{array} \right.$

Add or subtract as indicated. - $\frac { 15 } { 74 } + \frac { 13 } { 74 }$

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

Real Numbers and Algebraic Expressions

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Filters

Exam 11: Fractions

The circle represents a whole, or 1. Determine the unknown part of the circle. -

Add or subtract as indicated. - 59+13−16\frac { 5 } { 9 } + \frac { 1 } { 3 } - \frac { 1 } { 6 }95​+31​−61​

Simplify the fraction. - 132143\frac { 132 } { 143 }143132​

Multiply or divide as indicated. - 136⋅38\frac { 13 } { 6 } \cdot \frac { 3 } { 8 }613​⋅83​

Simplify the fraction. - 2128\frac { 21 } { 28 }2821​

Find the supplement of the angle. - 107∘107 ^ { \circ }107∘

Solve. -Last week, Samantha ran 20 miles. This week, she ran 182318 \frac { 2 } { 3 }1832​ miles. How much more did she run last week?

Find the complement of the angle. - 4613046 \frac { 1 } { 3 } ^ { 0 }4631​0

Add or subtract as indicated. - 914−835\frac { 9 } { 14 } - \frac { 8 } { 35 }149​−358​

Write the fraction as an equivalent fraction with the given denominator. 49\frac { 4 } { 9 }94​ with a denominator of 45

Find the complement of the angle. - 63∘63 ^ { \circ }63∘