Question 1

Evaluate the expression.
-$\frac { 4 ^ { 8 } } { 4 ^ { 4 } }$

Accepted Answer

A) 2 
B) 65,280 
C) 256 
D)  $\frac { 1 } { 256 }$ 
A) 2 
B) 65,280 
C) 256 
D)  $\frac { 1 } { 256 }$ C

Question 2

Solve. Express the result in scientific notation. Round to the nearest hundredth, if necessary.
-If the mass of an object is 1.57603 × $10 ^ { - 3 }$ ton tons and its density is $1.73 \times 10 ^ { - 6 }$ tons per cubic foot, find the volume of this object. of this object. (Use the form $\text { (Use the formula } D = \frac { M } { V } \text {.) }$

Accepted Answer

A)  $91.1 \times 10 ^ { 2 } \text { cubic feet }$ 
B)  $9.11 \times 10 ^ { 3 } \text { cubic feet }$ 
C)  $9.11 \times 10 ^ { 1 } \text { cubic feet }$ 
D)  $9.11 \times 10 ^ { 2 } \text { cubic feet }$ 
A)  $91.1 \times 10 ^ { 2 } \text { cubic feet }$ 
B)  $9.11 \times 10 ^ { 3 } \text { cubic feet }$ 
C)  $9.11 \times 10 ^ { 1 } \text { cubic feet }$ 
D)  $9.11 \times 10 ^ { 2 } \text { cubic feet }$ D

Question 3

Evaluate the expression for the given value or values.
-$5 ( m + n ) ^ { 2 } + 4 ( m + n ) - 3 \text { when } m = 2 , n = 6$

Accepted Answer

A) 363 
B) 349 
C) 343 
D) -349 
A) 363 
B) 349 
C) 343 
D) -349 B

Question 4

Solve the problem.
-From the Venn diagram, determine the set A.

Accepted Answer

A) {5, 7} 
B) {2, 3, 4, 5, 7} 
C) {2, 3, 4} 
D) {2, 3, 4, 5, 6, 7, 9} 
A) {5, 7} 
B) {2, 3, 4, 5, 7} 
C) {2, 3, 4} 
D) {2, 3, 4, 5, 6, 7, 9}

Question 5

List the set in roster form.
-$S = \{ x \mid x \text { is an integer greater than } - 5 \}$

Accepted Answer

A) {0, 1, 2, 3, 4, 5, . . . } 
B) {-4, -3, -2, -1, 0, . . . } 
C) {1, 2, 3, 4, 5, . . . } 
D) {-5, -4, -3, -2, -1, 0, . . . } 
A) {0, 1, 2, 3, 4, 5, . . . } 
B) {-4, -3, -2, -1, 0, . . . } 
C) {1, 2, 3, 4, 5, . . . } 
D) {-5, -4, -3, -2, -1, 0, . . . }

Question 6

Illustrate the set on a number line.
-$\{ \mathrm { k } \mid 2 < \mathrm { k } < 6 \}$

Accepted Answer

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

Question 7

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 Q a subset of I?

Accepted Answer

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

Question 8

List the values from smallest to largest.
-$- 4 , | - 1 | , | 5 | , - | - 8 |$

Accepted Answer

A)  $- 4 , - | - 8 | , | - 1 | , | 5 |$ 
B)  $- | - 8 | , - 4 , | 5 | , | - 1 |$ 
C)  $- | - 8 | , - 4 , | - 1 | , | 5 |$ 
D)  $- | - 8 | , | - 1 | , - 4 , | 5 |$ 
A)  $- 4 , - | - 8 | , | - 1 | , | 5 |$ 
B)  $- | - 8 | , - 4 , | 5 | , | - 1 |$ 
C)  $- | - 8 | , - 4 , | - 1 | , | 5 |$ 
D)  $- | - 8 | , | - 1 | , - 4 , | 5 |$

Question 9

Simplify the expression and write the answer without negative exponents.
-$\frac { 3 x ^ { - 8 } } { x ^ { 3 } }$

Accepted Answer

A)  $\frac { 3 } { x ^ { 11 } }$ 
B)  $3 x ^ { 11 }$ 
C)  $\frac { 1 } { 3 x ^ { 5 } }$ 
D)  $\frac { 1 } { 3 x ^ { 24 } }$ 
A)  $\frac { 3 } { x ^ { 11 } }$ 
B)  $3 x ^ { 11 }$ 
C)  $\frac { 1 } { 3 x ^ { 5 } }$ 
D)  $\frac { 1 } { 3 x ^ { 24 } }$

Question 10

Solve the problem.
-Sean has $276 in his savings account. After he withdraws $86, what will his balance be?

Accepted Answer

A) -$362 
B) $190 
C) -$190 
D) $362 
A) -$362 
B) $190 
C) -$190 
D) $362

Question 11

Evaluate the expression without using a calculator.
-$- \sqrt { 64 }$

Accepted Answer

A) -8 
B) 8 
C) -64 
D) -32 
A) -8 
B) 8 
C) -64 
D) -32

Question 12

Simplify the expression and write the answer without negative exponents.
-$\left( \frac { x ^ { - 5 } } { y ^ { 4 } } \right) ^ { - 1 }$

Accepted Answer

A)  $\frac { x ^ { - 6 } } { y ^ { 3 } }$ 
B)  $x ^ { 5 } y ^ { 4 }$ 
C)  $\frac { 1 } { x ^ { 5 } y ^ { 4 } }$ 
D)  $\frac { x ^ { 5 } } { y ^ { 4 } }$ 
A)  $\frac { x ^ { - 6 } } { y ^ { 3 } }$ 
B)  $x ^ { 5 } y ^ { 4 }$ 
C)  $\frac { 1 } { x ^ { 5 } y ^ { 4 } }$ 
D)  $\frac { x ^ { 5 } } { y ^ { 4 } }$

Question 13

Solve. Express the result in scientific notation. Round to the nearest hundredth, if necessary.
-In one year, light travels 5 $5.87 \times 10 ^ { 12 }$ mile miles. How far would light travel inn 7 $7 \times 10 ^ { 4 }$ years?

Accepted Answer

A)  $1.29 \times 10 ^ { 16 } \text { miles }$ 
B)  $4.11 \times 10 ^ { 16 } \text { miles }$ 
C)  $4.11 \times 10 ^ { 49 } \text { miles }$ 
D)  $4.11 \times 10 ^ { 17 } \text { miles }$ 
A)  $1.29 \times 10 ^ { 16 } \text { miles }$ 
B)  $4.11 \times 10 ^ { 16 } \text { miles }$ 
C)  $4.11 \times 10 ^ { 49 } \text { miles }$ 
D)  $4.11 \times 10 ^ { 17 } \text { miles }$

Question 14

Express the number in scientific notation.
-32,000,000

Accepted Answer

A)  $3.2 \times 10 ^ { 8 }$ 
B)  $3.2 \times 10 ^ { - 8 }$ 
C)  $3.2 \times 10 ^ { - 7 }$ 
D)  $3.2 \times 10 ^ { 7 }$ 
A)  $3.2 \times 10 ^ { 8 }$ 
B)  $3.2 \times 10 ^ { - 8 }$ 
C)  $3.2 \times 10 ^ { - 7 }$ 
D)  $3.2 \times 10 ^ { 7 }$

Question 15

Evaluate.
--3(-3)(-9)

Accepted Answer

A) -71 
B) 81 
C) -81 
D) -181 
A) -71 
B) 81 
C) -81 
D) -181

Question 16

Express the value in scientific notation.
-$\left( 9 \times 10 ^ { 6 } \right) \left( 2.2 \times 10 ^ { - 1 } \right)$

Accepted Answer

A)  $1.98 \times 10 ^ { - 6 }$ 
B)  $1.98 \times 10 ^ { 6 }$ 
C)  $19.8 \times 10 ^ { 6 }$ 
D)  $198 \times 10 ^ { 5 }$ 
A)  $1.98 \times 10 ^ { - 6 }$ 
B)  $1.98 \times 10 ^ { 6 }$ 
C)  $19.8 \times 10 ^ { 6 }$ 
D)  $198 \times 10 ^ { 5 }$

Question 17

Express the number in scientific notation.
-739

Accepted Answer

A)  $7.39 \times 10 ^ { - 3 }$ 
B)  $7.39 \times 10 ^ { 2 }$ 
C)  $7.39 \times 10 ^ { - 2 }$ 
D)  $7.39 \times 10 ^ { 3 }$ 
A)  $7.39 \times 10 ^ { - 3 }$ 
B)  $7.39 \times 10 ^ { 2 }$ 
C)  $7.39 \times 10 ^ { - 2 }$ 
D)  $7.39 \times 10 ^ { 3 }$

Question 18

Evaluate.
-$- | 2 | + | 10 |$

Accepted Answer

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

Question 19

Evaluate.
-$- \frac { 9 } { 13 } \div \left( - \frac { 4 } { 11 } \right)$

Accepted Answer

A)  $- \frac { 36 } { 143 }$ 
B)  $\frac { 52 } { 99 }$ 
C)  $- \frac { 99 } { 52 }$ 
D)  $\frac { 99 } { 52 }$ 
A)  $- \frac { 36 } { 143 }$ 
B)  $\frac { 52 } { 99 }$ 
C)  $- \frac { 99 } { 52 }$ 
D)  $\frac { 99 } { 52 }$

Question 20

Name the property illustrated by the statement.
-14 + (3 + 20)= (14 + 3)+ 20

Accepted Answer

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

Evaluate the expression. - $\frac { 4 ^ { 8 } } { 4 ^ { 4 } }$

Evaluate the expression for the given value or values. - $5 ( m + n ) ^ { 2 } + 4 ( m + n ) - 3 \text { when } m = 2 , n = 6$

Solve the problem. -From the Venn diagram, determine the set A.

List the set in roster form. - $S = \{ x \mid x \text { is an integer greater than } - 5 \}$

Illustrate the set on a number line. - $\{ \mathrm { k } \mid 2 < \mathrm { k } < 6 \}$ $Illustrate the set on a number line. - \{ \mathrm { k } \mid 2 < \mathrm { k } < 6 \}$

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 Q a subset of I?

List the values from smallest to largest. - $- 4 , | - 1 | , | 5 | , - | - 8 |$

Simplify the expression and write the answer without negative exponents. - $\frac { 3 x ^ { - 8 } } { x ^ { 3 } }$

Solve the problem. -Sean has $276 in his savings account. After he withdraws $86, what will his balance be?

Evaluate the expression without using a calculator. - $- \sqrt { 64 }$

Simplify the expression and write the answer without negative exponents. - $\left( \frac { x ^ { - 5 } } { y ^ { 4 } } \right) ^ { - 1 }$

Solve. Express the result in scientific notation. Round to the nearest hundredth, if necessary. -In one year, light travels 5 $5.87 \times 10 ^ { 12 }$ mile miles. How far would light travel inn 7 $7 \times 10 ^ { 4 }$ years?

Express the number in scientific notation. -32,000,000

Evaluate. --3(-3)(-9)

Express the value in scientific notation. - $\left( 9 \times 10 ^ { 6 } \right) \left( 2.2 \times 10 ^ { - 1 } \right)$

Express the number in scientific notation. -739

Evaluate. - $- | 2 | + | 10 |$

Evaluate. - $- \frac { 9 } { 13 } \div \left( - \frac { 4 } { 11 } \right)$

Name the property illustrated by the statement. -14 + (3 + 20)= (14 + 3)+ 20

Equations and Inequalities

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Polynomials and Polynomial Functions

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Characteristics of Functions and Their Graphs

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Exam 1: Basic Concepts

Evaluate the expression. - 4844\frac { 4 ^ { 8 } } { 4 ^ { 4 } }4448​

Evaluate the expression for the given value or values. - 5(m+n)2+4(m+n)−3 when m=2,n=65 ( m + n ) ^ { 2 } + 4 ( m + n ) - 3 \text { when } m = 2 , n = 65(m+n)2+4(m+n)−3 when m=2,n=6