Question 1

Simplify the expression.

Accepted Answer

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Question 2

Simplify the expression:

Accepted Answer

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Question 3

Replace the symbol "?" to make the resulting statement true for all real numbers : p, b, and c, whenever the expressions are defined.

Accepted Answer

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B)    
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B)

Question 4

Factor the polynomial.

Accepted Answer

A) 3x 2 y 3 (x 4  + y) 
B) 3x 2 y 3 (x 4  + y 4 ) 
C) 3x 2 y 3 (5x 4  + y) 
D) 15x 2 y 3 (5x 4  + y 2 ) 
E) 5x 2 y 3 (3x 4  + y) 
A) 3x 2 y 3 (x 4  + y) 
B) 3x 2 y 3 (x 4  + y 4 ) 
C) 3x 2 y 3 (5x 4  + y) 
D) 15x 2 y 3 (5x 4  + y 2 ) 
E) 5x 2 y 3 (3x 4  + y)

Question 5

Simplify the expression.

Accepted Answer

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Question 6

Express as a polynomial.

Accepted Answer

A) 3x 6  - 9x 5  - 15x 4  + 27x 3  - 36x 2  + 45x - 135 
B) 3x 6  - 9x 5  - 15x 4  + 36x 3  + 27x 2  + 45x - 135 
C) 3x 4  - 9x 3  - 15x 5  + 54x 6  + 27x 2  + 45x - 135 
D) 3x 6  - 9x 5  - 15x 4  + 54x 3  + 27x 2  + 45x - 135 
E) 3x 4  - 9x 5  - 15x 3  + 3x 6  + 9x 2  + 45x - 135 
A) 3x 6  - 9x 5  - 15x 4  + 27x 3  - 36x 2  + 45x - 135 
B) 3x 6  - 9x 5  - 15x 4  + 36x 3  + 27x 2  + 45x - 135 
C) 3x 4  - 9x 3  - 15x 5  + 54x 6  + 27x 2  + 45x - 135 
D) 3x 6  - 9x 5  - 15x 4  + 54x 3  + 27x 2  + 45x - 135 
E) 3x 4  - 9x 5  - 15x 3  + 3x 6  + 9x 2  + 45x - 135

Question 7

Factor the polynomial : 16x 2  - 56x + 49

Accepted Answer

A) (7x - 4)  2  
B) (4x - 7)  2  
C) (4x - 7) (4x + 7) 
D) (8x + 7)  2  
A) (7x - 4)  2  
B) (4x - 7)  2  
C) (4x - 7) (4x + 7) 
D) (8x + 7)  2

Question 8

Factor the polynomial.

Accepted Answer

A) (4y 2  - 5x) (4y 2  + 5x) 
B) (4y 2  + 5x)2  
C) (16y 2  - 5x)2  
D) (4y 2  - 5x) (4y 2  - 5x) 
E) (16y 2  - 5x) (16y 2  + 5x) 
A) (4y 2  - 5x) (4y 2  + 5x) 
B) (4y 2  + 5x)2  
C) (16y 2  - 5x)2  
D) (4y 2  - 5x) (4y 2  - 5x) 
E) (16y 2  - 5x) (16y 2  + 5x)

Question 9

In astronomy, distances to stars are measured in light years. One light year is the distance a ray of light travels in one year. If the speed of light is approximately 186,000 miles per second, estimate the number of miles in five light years.

Accepted Answer

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B)    
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Question 10

The population dynamics of many fish are characterized by extremely high fertility rates among adults and very low survival rates among the young. A mature halibut may lay as many as 2.2 million eggs, but only 0.00032% of the offspring survive to the age of 3 years. Use scientific form to approximate the number of offspring that live to age 3.

Accepted Answer

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Question 11

Simplify the expression.

Accepted Answer

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Question 12

Simplify the expression.

Accepted Answer

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Question 13

Simplify the expression.

Accepted Answer

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E)

Question 14

In astronomy, distances to stars are measured in light years. One light year is the distance a ray of light travels in one year. If the speed of light is approximately 186,000 miles per second, estimate the number of miles in five light years.

Accepted Answer

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

Question 15

Simplify the expression.

Accepted Answer

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B)    
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E)

Question 16

Express as a polynomial.

Accepted Answer

A) 28x 3  + 24x 2  + 28x - 45 
B) 28x 3  + 125x 2  + 63x - 45 
C) 125x 3  - 28x 2  + 28x - 45 
D) 28x 3  + 24x 2  + 63x - 45 
E) 125x 3  - 24x 2  + 28x - 45 
A) 28x 3  + 24x 2  + 28x - 45 
B) 28x 3  + 125x 2  + 63x - 45 
C) 125x 3  - 28x 2  + 28x - 45 
D) 28x 3  + 24x 2  + 63x - 45 
E) 125x 3  - 24x 2  + 28x - 45

Question 17

Simplify the expression:

Accepted Answer

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C)    
D)    
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E)

Question 18

Rewrite the expression using a radical.

Accepted Answer

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Question 19

The population dynamics of many fish are characterized by extremely high fertility rates among adults and very low survival rates among the young. A mature halibut may lay as many as 2.2 million eggs, but only 0.00035% of the offspring survive to the age of 3 years. Use scientific form to approximate the number of offspring that live to age 3.

Accepted Answer

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B)    
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E)    
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B)    
C)    
D)    
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Question 20

Approximate the real-number expression to four decimal places.

Accepted Answer

A) 8.7110 
B) 2.6316 
C) 1.9149 
D) 0.7915 
E) -0.4338 
A) 8.7110 
B) 2.6316 
C) 1.9149 
D) 0.7915 
E) -0.4338

Simplify the expression.

Simplify the expression:

Replace the symbol "?" to make the resulting statement true for all real numbers : p, b, and c, whenever the expressions are defined.

Factor the polynomial.

Simplify the expression.

Express as a polynomial.

Factor the polynomial : 16x² - 56x + 49

Factor the polynomial.

In astronomy, distances to stars are measured in light years. One light year is the distance a ray of light travels in one year. If the speed of light is approximately 186,000 miles per second, estimate the number of miles in five light years.

Simplify the expression.

Simplify the expression.

Simplify the expression.

In astronomy, distances to stars are measured in light years. One light year is the distance a ray of light travels in one year. If the speed of light is approximately 186,000 miles per second, estimate the number of miles in five light years.

Simplify the expression.

Express as a polynomial.

Simplify the expression:

Rewrite the expression using a radical.

Approximate the real-number expression to four decimal places.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Topics From Analytic Geometry

Filters

Exam 1: Fundamental Concepts of Algebra

Simplify the expression.

Simplify the expression:

Replace the symbol "?" to make the resulting statement true for all real numbers : p, b, and c, whenever the expressions are defined.

Factor the polynomial.

Simplify the expression.

Express as a polynomial.

Factor the polynomial : 16x 2 - 56x + 49

Factor the polynomial.

In astronomy, distances to stars are measured in light years. One light year is the distance a ray of light travels in one year. If the speed of light is approximately 186,000 miles per second, estimate the number of miles in five light years.

Simplify the expression.

Simplify the expression.

Simplify the expression.

In astronomy, distances to stars are measured in light years. One light year is the distance a ray of light travels in one year. If the speed of light is approximately 186,000 miles per second, estimate the number of miles in five light years.

Simplify the expression.

Express as a polynomial.

Simplify the expression:

Rewrite the expression using a radical.

Approximate the real-number expression to four decimal places.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Topics From Analytic Geometry

Filters

Factor the polynomial : 16x² - 56x + 49