Question 1

Simplify the given expression.
-$\left( \frac { 2 } { 3 } \right) ^ { 3 }$

Accepted Answer

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

Question 2

Rewrite the decimal as a fraction in lowest terms.
-0.74

Accepted Answer

A)  $\frac { 1 } { 74 }$ 
B)  $\frac { 1 } { 5476 }$ 
C)  $\frac { 37 } { 50 }$ 
D)  $\frac { 37 } { 500 }$ 
A)  $\frac { 1 } { 74 }$ 
B)  $\frac { 1 } { 5476 }$ 
C)  $\frac { 37 } { 50 }$ 
D)  $\frac { 37 } { 500 }$

Question 3

Find the mode, if it exists, for the given values.
-98

Accepted Answer

A)  98   34 
B)  34 
C)  none 
D)  98 
A)  98   34 
B)  34 
C)  none 
D)  98

Question 4

Find the median for the given values.
-43

Accepted Answer

A)  25 
B)  29 
C)  25.5 
D)  22 
A)  25 
B)  29 
C)  25.5 
D)  22

Question 5

Rewrite the decimal as a fraction in lowest terms.
--0.01

Accepted Answer

A)  $- \frac { 1 } { 100 }$ 
B)  $- \frac { 1 } { 1000 }$ 
C)  $- \frac { 1 } { 10 }$ 
D)  $- 1$ 
A)  $- \frac { 1 } { 100 }$ 
B)  $- \frac { 1 } { 1000 }$ 
C)  $- \frac { 1 } { 10 }$ 
D)  $- 1$

Question 6

Rewrite as a percent.
-$\frac { 7 } { 11 }$

Accepted Answer

A)  $31 \frac { 9 } { 11 } \%$ 
B)  $63 \frac { 7 } { 11 } \%$ 
C)  $6 \frac { 4 } { 11 } \%$ 
D)  $12 \frac { 8 } { 11 } \%$ 
A)  $31 \frac { 9 } { 11 } \%$ 
B)  $63 \frac { 7 } { 11 } \%$ 
C)  $6 \frac { 4 } { 11 } \%$ 
D)  $12 \frac { 8 } { 11 } \%$

Question 7

Solve. Write your answer in simplest form.
-A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 2 inches wide. When it is trimmed, it is $1 \frac { 13 } { 16 }$ inches wide. How much width was trimmed off?

Accepted Answer

A)  $\frac { 13 } { 16 } \mathrm { inch }$ 
B)  $2 \frac { 3 } { 16 }$ inches 
C)  $\frac { 3 } { 16 }$ inch 
D)  $1 \frac { 13 } { 16 }$ inches 
A)  $\frac { 13 } { 16 } \mathrm { inch }$ 
B)  $2 \frac { 3 } { 16 }$ inches 
C)  $\frac { 3 } { 16 }$ inch 
D)  $1 \frac { 13 } { 16 }$ inches

Question 8

Provide an appropriate response.
-If a negative integer is subtracted from another negative integer, what can you say about the result, given that the two integers are not the same?

Accepted Answer

A)  The result will be a negative integer. 
B)  The result will be a positive integer. 
C)  The result could be either a positive or negative integer, but will not be equal to zero. 
D)  The result could be either a positive or negative integer or zero. 
A)  The result will be a negative integer. 
B)  The result will be a positive integer. 
C)  The result could be either a positive or negative integer, but will not be equal to zero. 
D)  The result could be either a positive or negative integer or zero.

Question 9

Multiply.
-4(-3)

Accepted Answer

A)  9 
B)  -16 
C)  -9 
D) -12 
A)  9 
B)  -16 
C)  -9 
D) -12

Question 10

Simplify. Your answer should be in lowest terms.
-$\frac { 1 } { 2 } + \frac { 2 } { 7 }$

Accepted Answer

A)  $\frac { 11 } { 14 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  $\frac { 6 } { 7 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  $\frac { 11 } { 14 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  $\frac { 6 } { 7 }$ 
D)  $\frac { 1 } { 3 }$

Question 11

Simplify the given expression.
-$- 4 ^ { 4 }$

Accepted Answer

A)  $- 256$ 
B)  16 
C)  $- 16$ 
D)  256 
A)  $- 256$ 
B)  16 
C)  $- 16$ 
D)  256

Question 12

Add.
--3 + (-17)

Accepted Answer

A)  -20 
B)  20 
C)  14 
D)  -14 
A)  -20 
B)  20 
C)  14 
D)  -14

Question 13

Simplify.
-$$240 \div 5 - 4$$

Accepted Answer

A)  239 
B)  44 
C)  240 
D)  231 
A)  239 
B)  44 
C)  240 
D)  231

Question 14

Subtract.
--17 - 10

Accepted Answer

A)  -7 
B) 7 
C) -27 
D)  27 
A)  -7 
B) 7 
C) -27 
D)  27

Question 15

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.
-$$3 ( - 5 y + z ) - ( z - 9 y )$$

Accepted Answer

A)  a) 2
b) $- 6 y , 3 z$
c) $- 6,3$ 
B)  a) 2
b) $- 6 y , 2 z$
c) $- 6,2$ 
C)  a) 2
b) $- 14 y , 2 z$
c) $- 14,2$ 
D)  a) 2
b) $- 24 y , 2 z$
c) $- 24,2$ 
A)  a) 2
b) $- 6 y , 3 z$
c) $- 6,3$ 
B)  a) 2
b) $- 6 y , 2 z$
c) $- 6,2$ 
C)  a) 2
b) $- 14 y , 2 z$
c) $- 14,2$ 
D)  a) 2
b) $- 24 y , 2 z$
c) $- 24,2$

Question 16

For the given values, find the range.
-"twelve to the fifth power"

Accepted Answer

A)  $5 ^ { 12 }$ 
B)  $12 \times 5$ 
C)  $12 ^ { 5 }$ 
D)  $12 \cdot 5 ^ { 5 }$ 
A)  $5 ^ { 12 }$ 
B)  $12 \times 5$ 
C)  $12 ^ { 5 }$ 
D)  $12 \cdot 5 ^ { 5 }$

Question 17

Simplify. Your answer should be in lowest terms.
-$$6 \frac { 3 } { 4 } + 6 \frac { 9 } { 20 }$$

Accepted Answer

A)  $12 \frac { 24 } { 20 }$ 
B)  $12 \frac { 1 } { 5 }$ 
C)  $12 \frac { 3 } { 5 }$ 
D)  $13 \frac { 1 } { 5 }$ 
A)  $12 \frac { 24 } { 20 }$ 
B)  $12 \frac { 1 } { 5 }$ 
C)  $12 \frac { 3 } { 5 }$ 
D)  $13 \frac { 1 } { 5 }$

Question 18

Divide, if possible.
-84 ÷ (-6)

Accepted Answer

A)  -14 
B)  -24 
C)  14 
D)  $- \frac { 1 } { 14 }$ 
A)  -14 
B)  -24 
C)  14 
D)  $- \frac { 1 } { 14 }$

Question 19

Solve the problem.
-After one round in a card game, your score was 41 points. After the second round, your score was -36 points. How many points did you get in the second game?

Accepted Answer

A)  -5 points 
B)  36 points 
C)  -77 points 
D)  5 points 
A)  -5 points 
B)  36 points 
C)  -77 points 
D)  5 points

Question 20

Build a variable expression for the given phrase.
-Three less than 13 times a number

Accepted Answer

A)  13 - 3x 
B)  3 - 13x 
C)  13(x - 3) 
D)  13x - 3 
A)  13 - 3x 
B)  3 - 13x 
C)  13(x - 3) 
D)  13x - 3

Simplify the given expression. - $\left( \frac { 2 } { 3 } \right) ^ { 3 }$

Rewrite the decimal as a fraction in lowest terms. -0.74

Find the mode, if it exists, for the given values. -98

Find the median for the given values. -43

Rewrite the decimal as a fraction in lowest terms. --0.01

Rewrite as a percent. - $\frac { 7 } { 11 }$

Solve. Write your answer in simplest form. -A sawmill trims rough cut boards to look smooth. When a board is rough cut, it is 2 inches wide. When it is trimmed, it is $1 \frac { 13 } { 16 }$ inches wide. How much width was trimmed off?

Provide an appropriate response. -If a negative integer is subtracted from another negative integer, what can you say about the result, given that the two integers are not the same?

Multiply. -4(-3)

Simplify. Your answer should be in lowest terms. - $\frac { 1 } { 2 } + \frac { 2 } { 7 }$

Simplify the given expression. - $- 4 ^ { 4 }$

Add. --3 + (-17)

Simplify. - $240 \div 5 - 4$

Subtract. --17 - 10

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. - $3 ( - 5 y + z ) - ( z - 9 y )$

For the given values, find the range. -"twelve to the fifth power"

Simplify. Your answer should be in lowest terms. - $6 \frac { 3 } { 4 } + 6 \frac { 9 } { 20 }$

Divide, if possible. -84 ÷ (-6)

Solve the problem. -After one round in a card game, your score was 41 points. After the second round, your score was -36 points. How many points did you get in the second game?

Build a variable expression for the given phrase. -Three less than 13 times a number

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

Simplify the given expression. - (23)3\left( \frac { 2 } { 3 } \right) ^ { 3 }(32​)3