Question 1

Evaluate the absolute value expression.
-$- \left| \frac { 5 } { 7 } \right|$

Accepted Answer

A)  $- \frac { 5 } { 7 }$ 
B)  $\frac { 10 } { 7 }$ 
C)  $\frac { 5 } { 7 }$ 
D) 0 
A)  $- \frac { 5 } { 7 }$ 
B)  $\frac { 10 } { 7 }$ 
C)  $\frac { 5 } { 7 }$ 
D) 0

Question 2

Evaluate the absolute value expression.
-$| 0 |$

Accepted Answer

A) -1 
B) 1 
C) 0 
D) undefined 
A) -1 
B) 1 
C) 0 
D) undefined

Question 3

Evaluate.
--160 ÷ (-8)

Accepted Answer

A)  $\frac { 1 } { 20 }$ 
B) -20 
C) 10 
D) 20 
A)  $\frac { 1 } { 20 }$ 
B) -20 
C) 10 
D) 20

Question 4

Solve the problem.
-The Little Town Dog Club offers a "Puppy Kindergarten" for puppies in their community. In order for a dog to
advance from this introductory class to the first level obedience class, it must consistently demonstrate
knowledge of each of 4 commands. The instructor has the following table in her record book. $$\begin{array} { l | c c c c } 
& \text { Sit/Stay } & \text { Down/Stay } & \text { Heel } & \text { Come } \
\hline \text { Amber } & \text { Yes } & \text { Yes } & \text { No } & \text { Yes } \
\text { Bruiser } & \text { No } & \text { Yes } & \text { No } & \text { Yes } \
\text { Keaton } & \text { Yes } & \text { Yes } & \text { Yes } & \text { Yes } \
\text { Ollie } & \text { No } & \text { No } & \text { No } & \text { Yes } \
\text { Rolf } & \text { Yes } & \text { No } & \text { Yes } & \text { Yes }
\end{array}$$ Let A = the set of dogs who have demonstrated knowledge of Sit/Stay.
Let B = the set of dogs who have demonstrated knowledge of Down/Stay.
Let C = the set of dogs who have demonstrated knowledge of Heel.
Let D = the set of dogs who have demonstrated knowledge of Come.
Give each of the sets A, B, C, and D using roster notation. Determine the set A ∩ B ∩ C ∩ D. Which dogs are ready to
advance to the next level?

Accepted Answer

A = {Amber Keaton, Rolf}
B = {

Question 5

Simplify the expression and write the answer without negative exponents.
-$x ^ { - 9 } \cdot x ^ { 5 }$

Accepted Answer

A)  $x ^ { 4 }$ 
B)  $- \frac { 1 } { x ^ { 4 } }$ 
C)  $\frac { 1 } { x ^ { 4 } }$ 
D)  $- x ^ { 4 }$ 
A)  $x ^ { 4 }$ 
B)  $- \frac { 1 } { x ^ { 4 } }$ 
C)  $\frac { 1 } { x ^ { 4 } }$ 
D)  $- x ^ { 4 }$

Question 6

Evaluate the expression.
-$\frac { 8 } { 9 } \div \left( \frac { 7 } { 5 } + \frac { 7 } { 10 } \right)$

Accepted Answer

A)  $\frac { 40 } { 63 }$ 
B)  $\frac { 80 } { 189 }$ 
C)  $\frac { 10 } { 189 }$ 
D)  $\frac { 40 } { 49 }$ 
A)  $\frac { 40 } { 63 }$ 
B)  $\frac { 80 } { 189 }$ 
C)  $\frac { 10 } { 189 }$ 
D)  $\frac { 40 } { 49 }$

Question 7

Evaluate the addition and subtraction problem.
-$| 1 - 5 | - 4$

Accepted Answer

A) 4 
B) 8 
C) -8 
D) 0 
A) 4 
B) 8 
C) -8 
D) 0

Question 8

Evaluate.
-$\left| \frac { - 7 } { 3 } \right| \div \left| \frac { - 3 } { 7 } \right|$

Accepted Answer

A)  $\frac { 3 } { 7 }$ 
B)  $\frac { 49 } { 9 }$ 
C)  $\frac { 7 } { 3 }$ 
D) 1 
A)  $\frac { 3 } { 7 }$ 
B)  $\frac { 49 } { 9 }$ 
C)  $\frac { 7 } { 3 }$ 
D) 1

Question 9

Evaluate.
-$\left( \frac { 4 } { 7 } - \frac { 1 } { 5 } \right) - \left( - \frac { 1 } { 2 } \right)$

Accepted Answer

A)  $\frac { 61 } { 35 }$ 
B)  $\frac { 41 } { 70 }$ 
C)  $- \frac { 9 } { 70 }$ 
D)  $\frac { 61 } { 70 }$ 
A)  $\frac { 61 } { 35 }$ 
B)  $\frac { 41 } { 70 }$ 
C)  $- \frac { 9 } { 70 }$ 
D)  $\frac { 61 } { 70 }$

Question 10

Simplify the expression and write the answer without negative exponents.
-$\left( 9 x ^ { - 2 } \right) \left( 8 x ^ { - 6 } \right)$

Accepted Answer

A)  $- 72 x ^ { 12 }$ 
B)  $72 x ^ { 12 }$ 
C)  $\frac { 72 } { x ^ { 8 } }$ 
D)  $72 x ^ { 8 }$ 
A)  $- 72 x ^ { 12 }$ 
B)  $72 x ^ { 12 }$ 
C)  $\frac { 72 } { x ^ { 8 } }$ 
D)  $72 x ^ { 8 }$

Question 11

Find both the additive inverse and the multiplicative inverse for the given number.
--16

Accepted Answer

A)  $\frac { 1 } { 16 } , - 16$ 
B)  $16 , \frac { 1 } { 16 }$ 
C) 0, 1 
D)  $16 , - \frac { 1 } { 16 }$ 
A)  $\frac { 1 } { 16 } , - 16$ 
B)  $16 , \frac { 1 } { 16 }$ 
C) 0, 1 
D)  $16 , - \frac { 1 } { 16 }$

Question 12

Evaluate the expression without using a calculator.
-$( - 7 ) ^ { 3 }$

Accepted Answer

A) 343 
B) -21 
C) -343 
D) 21 
A) 343 
B) -21 
C) -343 
D) 21

Question 13

Evaluate.
-$\left| - \frac { 5 } { 6 } \right| \cdot \left| \frac { - 3 } { 8 } \right|$

Accepted Answer

A)  $- \frac { 5 } { 16 }$ 
B)  $\frac { 15 } { 8 }$ 
C)  $\frac { 5 } { 16 }$ 
D)  $\frac { 5 } { 2 }$ 
A)  $- \frac { 5 } { 16 }$ 
B)  $\frac { 15 } { 8 }$ 
C)  $\frac { 5 } { 16 }$ 
D)  $\frac { 5 } { 2 }$

Question 14

Express the value in scientific notation.
-$\frac { 0.00021 \times 0.0002 } { 0.0007 }$

Accepted Answer

A)  $6 \times 10 ^ { 4 }$ 
B)  $6 \times 10 ^ { - 4 }$ 
C)  $42 \times 10 ^ { - 5 }$ 
D)  $42 \times 10 ^ { 5 }$ 
A)  $6 \times 10 ^ { 4 }$ 
B)  $6 \times 10 ^ { - 4 }$ 
C)  $42 \times 10 ^ { - 5 }$ 
D)  $42 \times 10 ^ { 5 }$

Question 15

Determine whether the statement is true or false.
-Some rational numbers are integers.

Accepted Answer

A) True 
 B)False

Question 16

Evaluate the expression.
-$5 ^ { - 3 }$

Accepted Answer

A) 125 
B) -125 
C)  $\frac { 1 } { 125 }$ 
D)  $\frac { 1 } { 15 }$ 
A) 125 
B) -125 
C)  $\frac { 1 } { 125 }$ 
D)  $\frac { 1 } { 15 }$

Question 17

Evaluate.
-$- \frac { 5 } { 12 } \div \frac { 8 } { 4 }$

Accepted Answer

A)  $\frac { 5 } { 6 }$ 
B)  $\frac { 5 } { 24 }$ 
C)  $- \frac { 5 } { 6 }$ 
D)  $- \frac { 5 } { 24 }$ 
A)  $\frac { 5 } { 6 }$ 
B)  $\frac { 5 } { 24 }$ 
C)  $- \frac { 5 } { 6 }$ 
D)  $- \frac { 5 } { 24 }$

Question 18

Express the value without exponents.
-$\frac { 3 \times 10 ^ { - 2 } } { 12 \times 10 ^ { 4 } }$

Accepted Answer

A) -0.00000025 
B) 0.00000025 
C) 250,000 
D) -250,000 
A) -0.00000025 
B) 0.00000025 
C) 250,000 
D) -250,000

Question 19

Determine whether the statement is true or false.
-$\{ 1,3,5,7 , \ldots \}$ is the set of odd natural numbers.

Accepted Answer

A) True 
 B)False

Question 20

Evaluate the absolute value expression.
-$- | - 8.7 |$

Accepted Answer

A) 0 
B) -8.7 
C) 17.4 
D) 8.7 
A) 0 
B) -8.7 
C) 17.4 
D) 8.7

Evaluate the absolute value expression. - $- \left| \frac { 5 } { 7 } \right|$

Evaluate the absolute value expression. - $| 0 |$

Evaluate. --160 ÷ (-8)

Simplify the expression and write the answer without negative exponents. - $x ^ { - 9 } \cdot x ^ { 5 }$

Evaluate the expression. - $\frac { 8 } { 9 } \div \left( \frac { 7 } { 5 } + \frac { 7 } { 10 } \right)$

Evaluate the addition and subtraction problem. - $| 1 - 5 | - 4$

Evaluate. - $\left| \frac { - 7 } { 3 } \right| \div \left| \frac { - 3 } { 7 } \right|$

Evaluate. - $\left( \frac { 4 } { 7 } - \frac { 1 } { 5 } \right) - \left( - \frac { 1 } { 2 } \right)$

Simplify the expression and write the answer without negative exponents. - $\left( 9 x ^ { - 2 } \right) \left( 8 x ^ { - 6 } \right)$

Find both the additive inverse and the multiplicative inverse for the given number. --16

Evaluate the expression without using a calculator. - $( - 7 ) ^ { 3 }$

Evaluate. - $\left| - \frac { 5 } { 6 } \right| \cdot \left| \frac { - 3 } { 8 } \right|$

Express the value in scientific notation. - $\frac { 0.00021 \times 0.0002 } { 0.0007 }$

Determine whether the statement is true or false. -Some rational numbers are integers.

Evaluate the expression. - $5 ^ { - 3 }$

Evaluate. - $- \frac { 5 } { 12 } \div \frac { 8 } { 4 }$

Express the value without exponents. - $\frac { 3 \times 10 ^ { - 2 } } { 12 \times 10 ^ { 4 } }$

Determine whether the statement is true or false. - $\{ 1,3,5,7 , \ldots \}$ is the set of odd natural numbers.

Evaluate the absolute value expression. - $- | - 8.7 |$

Equations and Inequalities

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Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions and Equations

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Quadratic Functions

Exponential and Logarithmic Functions

Characteristics of Functions and Their Graphs

Conic Sections

Sequences, Series, and Probability

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Exam 1: Basic Concepts

Evaluate the absolute value expression. - −∣57∣- \left| \frac { 5 } { 7 } \right|−​75​​

Evaluate the absolute value expression. - ∣0∣| 0 |∣0∣

Evaluate. --160 ÷ (-8)

Simplify the expression and write the answer without negative exponents. - x−9⋅x5x ^ { - 9 } \cdot x ^ { 5 }x−9⋅x5

Evaluate the expression. - 89÷(75+710)\frac { 8 } { 9 } \div \left( \frac { 7 } { 5 } + \frac { 7 } { 10 } \right)98​÷(57​+107​)

Evaluate the addition and subtraction problem. - ∣1−5∣−4| 1 - 5 | - 4∣1−5∣−4

Evaluate. - ∣−73∣÷∣−37∣\left| \frac { - 7 } { 3 } \right| \div \left| \frac { - 3 } { 7 } \right|​3−7​​÷​7−3​​

Evaluate. - (47−15)−(−12)\left( \frac { 4 } { 7 } - \frac { 1 } { 5 } \right) - \left( - \frac { 1 } { 2 } \right)(74​−51​)−(−21​)

Simplify the expression and write the answer without negative exponents. - (9x−2)(8x−6)\left( 9 x ^ { - 2 } \right) \left( 8 x ^ { - 6 } \right)(9x−2)(8x−6)