Question 1

Simplify the expression and write the answer without negative exponents.
-$\frac { 5 m ^ { 4 } n ^ { - 2 } } { 4 p ^ { 5 } }$

Accepted Answer

A)  $\frac { 5 m ^ { 4 } } { 4 n ^ { 2 } p ^ { 5 } }$ 
B)  $\frac { 4 p ^ { 5 } } { 5 m ^ { 4 } n ^ { 2 } }$ 
C)  $\frac { 5 m ^ { 4 } p ^ { 5 } } { 4 n ^ { 2 } }$ 
D)  $\frac { 5 } { 4 m ^ { 4 } n ^ { 2 } p ^ { 5 } }$ 
A)  $\frac { 5 m ^ { 4 } } { 4 n ^ { 2 } p ^ { 5 } }$ 
B)  $\frac { 4 p ^ { 5 } } { 5 m ^ { 4 } n ^ { 2 } }$ 
C)  $\frac { 5 m ^ { 4 } p ^ { 5 } } { 4 n ^ { 2 } }$ 
D)  $\frac { 5 } { 4 m ^ { 4 } n ^ { 2 } p ^ { 5 } }$

Question 2

Evaluate.
-$\left( - \frac { 8 } { 5 } \right) \left( \frac { 3 } { 8 } \right)$

Accepted Answer

A)  $\frac { 5 } { 8 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $- \frac { 3 } { 5 }$ 
D)  $- \frac { 8 } { 5 }$ 
A)  $\frac { 5 } { 8 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $- \frac { 3 } { 5 }$ 
D)  $- \frac { 8 } { 5 }$

Question 3

Simplify the expression and write the answer without negative exponents.
-$x ^ { - 7 } \cdot x ^ { - 4 }$

Accepted Answer

A)  $2 x ^ { - 11 }$ 
B)  $x ^ { - 11 }$ 
C)  $2 x ^ { - 28 }$ 
D)  $x ^ { - 28 }$ 
A)  $2 x ^ { - 11 }$ 
B)  $x ^ { - 11 }$ 
C)  $2 x ^ { - 28 }$ 
D)  $x ^ { - 28 }$

Question 4

Evaluate the expression.
-$7 ^ { 2 } - 2 \cdot 4$

Accepted Answer

A) 140 
B) 188 
C) 41 
D) 100 
A) 140 
B) 188 
C) 41 
D) 100

Question 5

Let R = the set of real numbers, N = the set of natural numbers, W = the set of whole numbers, I = the set of integers,
Q = the set of rational numbers, and H = the set of irrational numbers. Answer the question.
-Is N a subset of W?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 6

Evaluate.
--12(-1)(3)

Accepted Answer

A) 36 
B) 39 
C) -39 
D) -36 
A) 36 
B) 39 
C) -39 
D) -36

Question 7

Evaluate.
-8 - (-5)

Accepted Answer

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

Question 8

Insert eithernsert either  to to make the statement true.
-$- \frac { 4 } { 5 } ~\_\_\_  - 1$

Accepted Answer

A)   
A)

Question 9

Evaluate.
-4.144 + (-6.042)

Accepted Answer

A) -10.086 
B) -1.898 
C) -10.186 
D) 1.898 
A) -10.086 
B) -1.898 
C) -10.186 
D) 1.898

Question 10

Solve. Express the result in scientific notation. Round to the nearest hundredth, if necessary.
-During a science experiment you find that the correct answer is $5.28 \times 10 ^ { 3 }$ . If you mistakenly write the answer as $4.28 \times 10 ^ { 3 },$ , by how much is yo, by how much is yur answer off?

Accepted Answer

A) 1000 
B) 100,000 
C) 100 
D) 5280 
A) 1000 
B) 100,000 
C) 100 
D) 5280

Question 11

Evaluate.
-1 + (-11)- 5 + (-3)

Accepted Answer

A) -8 
B) -12 
C) 14 
D) -18 
A) -8 
B) -12 
C) 14 
D) -18

Question 12

Express the value in scientific notation.
-$\frac { 12.24 \times 10 ^ { 6 } } { 4 \times 10 ^ { 1 } }$

Accepted Answer

A)  $3.06 \times 10 ^ { 5 }$ 
B)  $6.12 \times 10 ^ { 7 }$ 
C)  $6.12 \times 10 ^ { 5 }$ 
D)  $3.06 \times 10 ^ { 7 }$ 
A)  $3.06 \times 10 ^ { 5 }$ 
B)  $6.12 \times 10 ^ { 7 }$ 
C)  $6.12 \times 10 ^ { 5 }$ 
D)  $3.06 \times 10 ^ { 7 }$

Question 13

Solve the problem.
-List the elements of S that are integers.

Accepted Answer

A) {-5, 0, 3} 
B) {3} 
C)  $\left\{ - 5.27 , - 5 , \frac { 1 } { 3 } , \frac { 4 } { 7 } , \frac { 107 } { 121 } , 3 \right\}$ 
D) {0, 3} 
A) {-5, 0, 3} 
B) {3} 
C)  $\left\{ - 5.27 , - 5 , \frac { 1 } { 3 } , \frac { 4 } { 7 } , \frac { 107 } { 121 } , 3 \right\}$ 
D) {0, 3}

Question 14

Evaluate the expression.
-$( - 5 x y z ) ^ { 0 }$

Accepted Answer

A) 1 
B) xyz 
C) 0 
D) -5 
A) 1 
B) xyz 
C) 0 
D) -5

Question 15

Simplify the expression and write the answer without negative exponents.
-$x ^ { 4 } \cdot x ^ { - 2 }$

Accepted Answer

A)  $x ^ { 2 }$ 
B)  $- \frac { 1 } { x ^ { 2 } }$ 
C)  $\frac { 1 } { x ^ { 2 } }$ 
D)  $- x ^ { 2 }$ 
A)  $x ^ { 2 }$ 
B)  $- \frac { 1 } { x ^ { 2 } }$ 
C)  $\frac { 1 } { x ^ { 2 } }$ 
D)  $- x ^ { 2 }$

Question 16

Simplify the expression and write the answer without negative exponents.
-$2 z ^ { - 3 }$

Accepted Answer

A)  $- \frac { 1 } { 8 z ^ { 3 } }$ 
B)  $\frac { 2 } { z ^ { 3 } }$ 
C)  $\frac { 1 } { 8 \mathrm { z } ^ { 3 } }$ 
D)  $- \frac { 8 } { z ^ { 3 } }$ 
A)  $- \frac { 1 } { 8 z ^ { 3 } }$ 
B)  $\frac { 2 } { z ^ { 3 } }$ 
C)  $\frac { 1 } { 8 \mathrm { z } ^ { 3 } }$ 
D)  $- \frac { 8 } { z ^ { 3 } }$

Question 17

Evaluate the absolute value expression.
-$\left| - \frac { 17 } { 22 } \right|$

Accepted Answer

A) 0 
B)  $\frac { 17 } { 22 }$ 
C)  $\frac { 17 } { 11 }$ 
D)  $- \frac { 17 } { 22 }$ 
A) 0 
B)  $\frac { 17 } { 22 }$ 
C)  $\frac { 17 } { 11 }$ 
D)  $- \frac { 17 } { 22 }$

Question 18

Name the property illustrated by the statement.
-x · y = y · x

Accepted Answer

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

Question 19

Evaluate.
--23.7 + (-13.1)

Accepted Answer

A) -10.6 
B) -36.8 
C) 10.6 
D) 36.8 
A) -10.6 
B) -36.8 
C) 10.6 
D) 36.8

Question 20

Name the property illustrated by the statement.
-x + 0 = x

Accepted Answer

A) identity property of addition 
B) distributive property 
C) commutative property of addition 
D) inverse property of addition 
A) identity property of addition 
B) distributive property 
C) commutative property of addition 
D) inverse property of addition

Simplify the expression and write the answer without negative exponents. - $\frac { 5 m ^ { 4 } n ^ { - 2 } } { 4 p ^ { 5 } }$

Evaluate. - $\left( - \frac { 8 } { 5 } \right) \left( \frac { 3 } { 8 } \right)$

Simplify the expression and write the answer without negative exponents. - $x ^ { - 7 } \cdot x ^ { - 4 }$

Evaluate the expression. - $7 ^ { 2 } - 2 \cdot 4$

Let R = the set of real numbers, N = the set of natural numbers, W = the set of whole numbers, I = the set of integers, Q = the set of rational numbers, and H = the set of irrational numbers. Answer the question. -Is N a subset of W?

Evaluate. --12(-1)(3)

Evaluate. -8 - (-5)

Insert eithernsert either $< \text { or } >$ to to make the statement true. - $- \frac { 4 } { 5 } ~\_\_\_ - 1$

Evaluate. -4.144 + (-6.042)

Evaluate. -1 + (-11)- 5 + (-3)

Express the value in scientific notation. - $\frac { 12.24 \times 10 ^ { 6 } } { 4 \times 10 ^ { 1 } }$

Solve the problem. -List the elements of S that are integers.

Evaluate the expression. - $( - 5 x y z ) ^ { 0 }$

Simplify the expression and write the answer without negative exponents. - $x ^ { 4 } \cdot x ^ { - 2 }$

Simplify the expression and write the answer without negative exponents. - $2 z ^ { - 3 }$

Evaluate the absolute value expression. - $\left| - \frac { 17 } { 22 } \right|$

Name the property illustrated by the statement. -x · y = y · x

Evaluate. --23.7 + (-13.1)

Name the property illustrated by the statement. -x + 0 = x

Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions and Equations

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Characteristics of Functions and Their Graphs

Conic Sections

Sequences, Series, and Probability

Filters

Exam 1: Basic Concepts

Simplify the expression and write the answer without negative exponents. - 5m4n−24p5\frac { 5 m ^ { 4 } n ^ { - 2 } } { 4 p ^ { 5 } }4p55m4n−2​

Evaluate. - (−85)(38)\left( - \frac { 8 } { 5 } \right) \left( \frac { 3 } { 8 } \right)(−58​)(83​)

Simplify the expression and write the answer without negative exponents. - x−7⋅x−4x ^ { - 7 } \cdot x ^ { - 4 }x−7⋅x−4

Evaluate the expression. - 72−2⋅47 ^ { 2 } - 2 \cdot 472−2⋅4