Question 1

Evaluate the expression for the given value of x. expression:   value: x = -6

Accepted Answer

A)    
B)    
C)  0 
D)  not possible since numerator is 0 
E)  not possible since denominator is 0 
A)    
B)    
C)  0 
D)  not possible since numerator is 0 
E)  not possible since denominator is 0

Question 2

Completely factor the expression. 8z3 - 46z2 + 56z

Accepted Answer

A)  2z(z + 4)(4z + 7) 
B)  2z(z - 4)(4z - 7) 
C)  (2z2 - 8z)(4z - 7) 
D)  (2z2 + 8z)(4z + 7) 
E)  (z - 8)(8z2 - 14z) 
A)  2z(z + 4)(4z + 7) 
B)  2z(z - 4)(4z - 7) 
C)  (2z2 - 8z)(4z - 7) 
D)  (2z2 + 8z)(4z + 7) 
E)  (z - 8)(8z2 - 14z)

Question 3

Identify the rules of algebra illustrated from left to right by the following statement. (t - 9) + 9 = t + (-9 + 9) = t + 0 = t

Accepted Answer

A)  commutative property of addition; additive inverse property; additive identity property 
B)  associative property of addition; additive inverse property; additive identity property 
C)  commutative property of addition; additive identity property; additive inverse property 
D)  associative property of addition; additive identity property; additive inverse property 
E)  distributive property; additive identity property; additive inverse property 
A)  commutative property of addition; additive inverse property; additive identity property 
B)  associative property of addition; additive inverse property; additive identity property 
C)  commutative property of addition; additive identity property; additive inverse property 
D)  associative property of addition; additive identity property; additive inverse property 
E)  distributive property; additive identity property; additive inverse property

Question 4

Completely factor the expression. 4u2 - 64

Accepted Answer

A)  (4u - 16)(u + 4) 
B)  (4u + 16)(u - 4) 
C)  (4u + 16)(u + 4) 
D)  4(u + 4)(u - 4) 
E)  4(u + 16)(u - 16) 
A)  (4u - 16)(u + 4) 
B)  (4u + 16)(u - 4) 
C)  (4u + 16)(u + 4) 
D)  4(u + 4)(u - 4) 
E)  4(u + 16)(u - 16)

Question 5

Use absolute value notation to describe the situation. The distance between z and 4 is no less than 2.

Accepted Answer

A)    $\ge$2 
B)    $\le$2 
C)    2 
E)    $\ge$2 
A)    $\ge$2 
B)    $\le$2 
C)    2 
E)    $\ge$2

Question 6

Write the expression as a single radical.Then simplify your answer.

Accepted Answer

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

Question 7

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Accepted Answer

A)  -0.178 
B)  0.133 
C)  0.015 
D)  1.390 
E)  2.435 
A)  -0.178 
B)  0.133 
C)  0.015 
D)  1.390 
E)  2.435

Question 8

Factor out the common factor. 35n4 + 5n3 + 45n2

Accepted Answer

A)  5(7n4 + n3 + 9n2) 
B)  5n2(7n2 + n + 9) 
C)  n2(35n 2 + 5n + 45) 
D)  35n2(n 2 + n + 9) 
E)  35(7n4 + n3 + 9n2) 
A)  5(7n4 + n3 + 9n2) 
B)  5n2(7n2 + n + 9) 
C)  n2(35n 2 + 5n + 45) 
D)  35n2(n 2 + n + 9) 
E)  35(7n4 + n3 + 9n2)

Question 9

The lowest recorded January temperature for a city is   and the highest recorded temperature is   Find the distance between the numbers to determine the range of temperatures for January.

Accepted Answer

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

Question 10

Identify the terms of the algebraic expression below.

Accepted Answer

A)      and   
B)    and   
C)    and   
D)    and   
E)      and   
A)      and   
B)    and   
C)    and   
D)    and   
E)      and

Question 11

Use a calculator to evaluate the expression.Write your answer in scientific notation. (Round values to three decimal places.)

Accepted Answer

A)  1.167 $\times$ 1012 
B)  1.167 $\times$ 1013 
C)  1.889 $\times$ 1011 
D)  1.889 $\times$ 1013 
E)  1.889 $\times$ 1012 
A)  1.167 $\times$ 1012 
B)  1.167 $\times$ 1013 
C)  1.889 $\times$ 1011 
D)  1.889 $\times$ 1013 
E)  1.889 $\times$ 1012

Question 12

The compound interest formula can be rewritten as   Find the principal amount   that could have been invested on the day you were born at 8.5% annual interest compounded monthly to make you a millionaire on your 21st birthday.

Accepted Answer

A)  $211,070.25 
B)  $168,856.20 
C)  $242,730.79 
D)  $94,981.61 
E)  $126,642.15 
A)  $211,070.25 
B)  $168,856.20 
C)  $242,730.79 
D)  $94,981.61 
E)  $126,642.15

Question 13

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol () between them.

Accepted Answer

A)    
B)    
A)    
B)

Question 14

Simplify the complex fraction.

Accepted Answer

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

Question 15

Rewrite the expression below by rationalizing the denominator.Simplify your answer.

Accepted Answer

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

Question 16

Simplify the complex fraction.

Accepted Answer

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

Question 17

Determine which numbers in the set are irrational numbers.

Accepted Answer

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

Question 18

Evaluate the expression.

Accepted Answer

A)    
B)    
C)    
D)    
E)  -13 
A)    
B)    
C)    
D)    
E)  -13

Question 19

Simplify the radical expression.

Accepted Answer

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

Question 20

Evaluate the expression.

Accepted Answer

A)    
B)    
C)    
D)  5 
E)  -5 
A)    
B)    
C)    
D)  5 
E)  -5

Evaluate the expression for the given value of x. expression: value: x = -6

Completely factor the expression. 8z³ - 46z² + 56z

Identify the rules of algebra illustrated from left to right by the following statement. (t - 9) + 9 = t + (-9 + 9) = t + 0 = t

Completely factor the expression. 4u² - 64

Use absolute value notation to describe the situation. The distance between z and 4 is no less than 2.

Write the expression as a single radical.Then simplify your answer.

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Factor out the common factor. 35n⁴ + 5n³ + 45n²

The lowest recorded January temperature for a city is and the highest recorded temperature is Find the distance between the numbers to determine the range of temperatures for January.

Identify the terms of the algebraic expression below.

Use a calculator to evaluate the expression.Write your answer in scientific notation. (Round values to three decimal places.)

The compound interest formula can be rewritten as Find the principal amount that could have been invested on the day you were born at 8.5% annual interest compounded monthly to make you a millionaire on your 21st birthday.

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them.

Simplify the complex fraction. $Simplify the complex fraction.$

Rewrite the expression below by rationalizing the denominator.Simplify your answer.

Simplify the complex fraction. $Simplify the complex fraction.$

Determine which numbers in the set are irrational numbers.

Evaluate the expression.

Simplify the radical expression.

Evaluate the expression.

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Exam 1: Fundamental Concepts of Algebra

Evaluate the expression for the given value of x. expression: value: x = -6

Completely factor the expression. 8z3 - 46z2 + 56z

Identify the rules of algebra illustrated from left to right by the following statement. (t - 9) + 9 = t + (-9 + 9) = t + 0 = t

Completely factor the expression. 4u2 - 64

Use absolute value notation to describe the situation. The distance between z and 4 is no less than 2.

Write the expression as a single radical.Then simplify your answer.

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Factor out the common factor. 35n4 + 5n3 + 45n2

The lowest recorded January temperature for a city is and the highest recorded temperature is Find the distance between the numbers to determine the range of temperatures for January.

Identify the terms of the algebraic expression below.

Use a calculator to evaluate the expression.Write your answer in scientific notation. (Round values to three decimal places.)

The compound interest formula can be rewritten as Find the principal amount that could have been invested on the day you were born at 8.5% annual interest compounded monthly to make you a millionaire on your 21st birthday.

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them.

Simplify the complex fraction.

Rewrite the expression below by rationalizing the denominator.Simplify your answer.

Simplify the complex fraction.

Determine which numbers in the set are irrational numbers.

Evaluate the expression.

Simplify the radical expression.

Evaluate the expression.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters

Completely factor the expression. 8z³ - 46z² + 56z

Completely factor the expression. 4u² - 64

Factor out the common factor. 35n⁴ + 5n³ + 45n²

Simplify the complex fraction. $Simplify the complex fraction.$

Simplify the complex fraction. $Simplify the complex fraction.$