Question 1

Convert the mixed number to an improper fraction.
-$16 \frac { 13 } { 23 }$

Accepted Answer

A)  $\frac { 208 } { 23 }$ 
B)  208 
C)  $\frac { 381 } { 23 }$ 
D)  29 
A)  $\frac { 208 } { 23 }$ 
B)  208 
C)  $\frac { 381 } { 23 }$ 
D)  29

Question 2

Simplify.
-13 + (-4) - (-8)

Accepted Answer

A)  17 
B)  -17 
C)  1 
D)  9 
A)  17 
B)  -17 
C)  1 
D)  9

Question 3

Find the mean for the given values.
-39

Accepted Answer

A)  39 
B)  36 
C)  36.6 
D)  30 
A)  39 
B)  36 
C)  36.6 
D)  30

Question 4

Simplify, where possible.
-3y - 6(x + 7y)

Accepted Answer

A)  10y - 6x 
B)  -39y + x 
C) -39y - 6x 
D)  45y - 6x 
A)  10y - 6x 
B)  -39y + x 
C) -39y - 6x 
D)  45y - 6x

Question 5

Solve the problem.
-Jeremy has traveled $\frac { 7 } { 8 }$ of his total trip. He has traveled 917 miles so far. How many more miles does he have to travel?

Accepted Answer

A)  $114 \frac { 5 } { 8 }$ miles 
B)  1048 miles 
C)  131 miles 
D)  None of thes 
A)  $114 \frac { 5 } { 8 }$ miles 
B)  1048 miles 
C)  131 miles 
D)  None of thes

Question 6

Simplify.
-$$11 ^ { 2 } + 7 \cdot 7 - ( 9 + 2 \cdot 4 )$$

Accepted Answer

A)  126 
B)  153 
C)  169 
D)  879 
A)  126 
B)  153 
C)  169 
D)  879

Question 7

Simplify. Your answer should be in lowest terms.
-$$11 \frac { 5 } { 7 } - 2 \frac { 1 } { 3 } - 3 \frac { 3 } { 14 }$$

Accepted Answer

A)  $6 \frac { 25 } { 42 }$ 
B)  $6 \frac { 1 } { 6 }$ 
C)  $12 \frac { 1 } { 6 }$ 
D)  $6 \frac { 1 } { 27 }$ 
A)  $6 \frac { 25 } { 42 }$ 
B)  $6 \frac { 1 } { 6 }$ 
C)  $12 \frac { 1 } { 6 }$ 
D)  $6 \frac { 1 } { 27 }$

Question 8

Simplify.
-$$\frac { 64 - 3 \cdot 4 } { 4 ^ { 3 } \div 4 ^ { 2 } - ( - 4 ) ^ { 2 } }$$

Accepted Answer

A)  $\frac { 1 } { 12 }$ 
B)  $\frac { 13 } { 2 }$ 
C)  $- \frac { 13 } { 3 }$ 
D)  $\frac { 13 } { 5 }$ 
A)  $\frac { 1 } { 12 }$ 
B)  $\frac { 13 } { 2 }$ 
C)  $- \frac { 13 } { 3 }$ 
D)  $\frac { 13 } { 5 }$

Question 9

Simplify the fraction to lowest terms.
-$\frac { 75 } { 3 }$

Accepted Answer

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

Question 10

The size of a computerʹs memory is measured by the number of bytes that it can store. The following table lists the
number of bytes in commonly used storage units. $$\begin{array} { l | l } 
1 \text { kilobyte } ( \mathrm { KB } ) & 2 ^ { 10 } \text { bytes } \
\hline \text { 1 megabyte (MB) } & 2 ^ { 20 } \text { bytes } \
\hline 1 \text { gigabyte (GB) } & 2 ^ { 30 } \text { bytes } \
\hline 1 \text { terabyte (TB) } & 2 ^ { 40 } \text { bytes }
\end{array}$$ Calculate the number of bytes in the following.
-1 kilobyte

Accepted Answer

A)  1,048,576 
B)  1,000,000 
C)  1000 
D)  1024 
A)  1,048,576 
B)  1,000,000 
C)  1000 
D)  1024

Question 11

Write the appropriate symbol, either , between the two integers.
--14 ___ -18

Accepted Answer

A)   
A)

Question 12

For the expression,
a) determine the number of terms;
b) write down each term; and
c) write down the coefficient for each.
Be sure to simplify the expression before answering.
-$$4 x ^ { 3 } - 12 x ^ { 2 } + 13 x - 4$$

Accepted Answer

A)  a) 4
b) $4 x ^ { 3 } , - 12 x ^ { 2 } , 13 x , - 4$
c) $4 , - 12,13 , - 4$ 
B)  a) 3
b) $- 8 x ^ { 2 } , 13 x , 4$
c) $- 8,13,4$ 
C)  a) 3
b) $- 8 x ^ { 2 } , 13 x , - 4$
c) $- 8,13 , - 4$ 
D)  a) 4
b) $4 x ^ { 3 } , 12 x ^ { 2 } , 13 x , 4$
c) $4,12,13,4$ 
A)  a) 4
b) $4 x ^ { 3 } , - 12 x ^ { 2 } , 13 x , - 4$
c) $4 , - 12,13 , - 4$ 
B)  a) 3
b) $- 8 x ^ { 2 } , 13 x , 4$
c) $- 8,13,4$ 
C)  a) 3
b) $- 8 x ^ { 2 } , 13 x , - 4$
c) $- 8,13 , - 4$ 
D)  a) 4
b) $4 x ^ { 3 } , 12 x ^ { 2 } , 13 x , 4$
c) $4,12,13,4$

Question 13

Convert the improper fraction to a mixed or whole number.
-$\frac { 41 } { 5 }$

Accepted Answer

A)  $9 \frac { 1 } { 5 }$ 
B)  $8 \frac { 1 } { 5 }$ 
C)  $8 \frac { 1 } { 7 }$ 
D)  $7 \frac { 1 } { 5 }$ 
A)  $9 \frac { 1 } { 5 }$ 
B)  $8 \frac { 1 } { 5 }$ 
C)  $8 \frac { 1 } { 7 }$ 
D)  $7 \frac { 1 } { 5 }$

Question 14

Write the appropriate symbol, either , between the two integers.
-$| - 10 |$ ــــــــ$- 4$

Accepted Answer

A)   
A)

Question 15

Find the absolute value.
-$| 27 |$

Accepted Answer

A)  $\frac { 1 } { 27 }$ 
B)  0 
C)  27 
D)  $- 27$ 
A)  $\frac { 1 } { 27 }$ 
B)  0 
C)  27 
D)  $- 27$

Question 16

Solve. Write your answer in simplest form.
-Ellen is knitting a scarf with one 10 -inch blue stripe,  one  $4 \frac { 1 } { 4 }$-inch green stripe, and one  $2 \frac { 1 } { 2 }$ -inch white stripe. How wide is the scarf?

Accepted Answer

A)  $ \frac{10}{47} $ inch 
B)  $ 16 \frac{3}{4} $ inches 
C)  $ 4 \frac{7}{10} $ inches 
D)  $ \frac{4}{67} $ inch 
A)  $ \frac{10}{47} $ inch 
B)  $ 16 \frac{3}{4} $ inches 
C)  $ 4 \frac{7}{10} $ inches 
D)  $ \frac{4}{67} $ inch

Question 17

Simplify. Your answer should be in lowest terms.
-$\frac { 1 } { 6 } - \left( - \frac { 1 } { 54 } \right)$

Accepted Answer

A)  $\frac { 1 } { 22 }$ 
B)  $\frac { 20 } { 11 }$ 
C)  $\frac { 5 } { 27 }$ 
D)  $\frac { 1 } { 216 }$ 
A)  $\frac { 1 } { 22 }$ 
B)  $\frac { 20 } { 11 }$ 
C)  $\frac { 5 } { 27 }$ 
D)  $\frac { 1 } { 216 }$

Question 18

Solve the problem.
-A stockbroker sold 5 shares of stock for $35.92 each. What was the total amount of the sale?

Accepted Answer

A)  $179.71 
B)  $179.60 
C)  $179.50 
D)  $179.70 
A)  $179.71 
B)  $179.60 
C)  $179.50 
D)  $179.70

Question 19

Multiply. Write your answer in lowest terms.
-$\frac { 5 } { 9 } \cdot \frac { 5 } { 7 }$

Accepted Answer

A)  $\frac { 25 } { 63 }$ 
B)  $\frac { 5 } { 8 }$ 
C)  $\frac { 5 } { 63 }$ 
D)  $\frac { 9 } { 7 }$ 
A)  $\frac { 25 } { 63 }$ 
B)  $\frac { 5 } { 8 }$ 
C)  $\frac { 5 } { 63 }$ 
D)  $\frac { 9 } { 7 }$

Question 20

Provide an appropriate response.
-What property of real numbers is illustrated by the following statement: (2 + 3a) + 6b = 6b + (2 + 3a)

Accepted Answer

A)  commutative property of multiplication 
B)  associative property of addition 
C)  distributive property 
D)  commutative property of addition 
A)  commutative property of multiplication 
B)  associative property of addition 
C)  distributive property 
D)  commutative property of addition

Convert the mixed number to an improper fraction. - $16 \frac { 13 } { 23 }$

Simplify. -13 + (-4) - (-8)

Find the mean for the given values. -39

Simplify, where possible. -3y - 6(x + 7y)

Solve the problem. -Jeremy has traveled $\frac { 7 } { 8 }$ of his total trip. He has traveled 917 miles so far. How many more miles does he have to travel?

Simplify. - $11 ^ { 2 } + 7 \cdot 7 - ( 9 + 2 \cdot 4 )$

Simplify. Your answer should be in lowest terms. - $11 \frac { 5 } { 7 } - 2 \frac { 1 } { 3 } - 3 \frac { 3 } { 14 }$

Simplify. - $\frac { 64 - 3 \cdot 4 } { 4 ^ { 3 } \div 4 ^ { 2 } - ( - 4 ) ^ { 2 } }$

Simplify the fraction to lowest terms. - $\frac { 75 } { 3 }$

Write the appropriate symbol, either < or >, between the two integers. --14 ___ -18

For the expression, a) determine the number of terms; b) write down each term; and c) write down the coefficient for each. Be sure to simplify the expression before answering. - $4 x ^ { 3 } - 12 x ^ { 2 } + 13 x - 4$

Convert the improper fraction to a mixed or whole number. - $\frac { 41 } { 5 }$

Write the appropriate symbol, either < or >, between the two integers. - $| - 10 |$ ــــــــ $- 4$

Find the absolute value. - $| 27 |$

Solve. Write your answer in simplest form. -Ellen is knitting a scarf with one 10 -inch blue stripe, one $4 \frac { 1 } { 4 }$ -inch green stripe, and one $2 \frac { 1 } { 2 }$ -inch white stripe. How wide is the scarf?

Simplify. Your answer should be in lowest terms. - $\frac { 1 } { 6 } - \left( - \frac { 1 } { 54 } \right)$

Solve the problem. -A stockbroker sold 5 shares of stock for $35.92 each. What was the total amount of the sale?

Multiply. Write your answer in lowest terms. - $\frac { 5 } { 9 } \cdot \frac { 5 } { 7 }$

Provide an appropriate response. -What property of real numbers is illustrated by the following statement: (2 + 3a) + 6b = 6b + (2 + 3a)

Linear Equations

Graphing Linear Equations

Systems of Equations

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

A Transition

Radical Expressions and Equations

Quadratic Equations

Functions

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 1: Review of Real Numbers

Convert the mixed number to an improper fraction. - 16132316 \frac { 13 } { 23 }162313​