Question 1

Approximate the real-number expression to four decimal places :

Accepted Answer

A) 1.0403 
B) 3.5403 
C) 3.8084 
D) 1.7903 
E) 1.8200 
A) 1.0403 
B) 3.5403 
C) 3.8084 
D) 1.7903 
E) 1.8200

Question 2

Approximate the real-number expression to four decimal places :

Accepted Answer

A) 3.7500 
B) 4.4261 
C) 1.9261 
D) 2.6761 
E) 5.5572 
A) 3.7500 
B) 4.4261 
C) 1.9261 
D) 2.6761 
E) 5.5572

Question 3

Write the expression as a simplified rational number.

Accepted Answer

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

Question 4

Simplify the expression.

Accepted Answer

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

Question 5

Factor the polynomial.

Accepted Answer

A) (2x 4  + 5y) (4x 8  + 20x 4 y - 25y 2 ) 
B) (2x 4  - 5y) (4x 8  + 10x 4 y + 25y 2 ) 
C) (2x 4  + 5y) (4x 8  - 10x 4 y + 25y 2 ) 
D) (2x 8  + 5y) (4x 4  - 10x 4 y + 25y 2 ) 
E) (2x 4  + 5y) (4x 8  - 20x 4 y + 25y 2 ) 
A) (2x 4  + 5y) (4x 8  + 20x 4 y - 25y 2 ) 
B) (2x 4  - 5y) (4x 8  + 10x 4 y + 25y 2 ) 
C) (2x 4  + 5y) (4x 8  - 10x 4 y + 25y 2 ) 
D) (2x 8  + 5y) (4x 4  - 10x 4 y + 25y 2 ) 
E) (2x 4  + 5y) (4x 8  - 20x 4 y + 25y 2 )

Question 6

Simplify the expression.

Accepted Answer

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

Question 7

Rewrite the following expression without using the absolute value symbol, and simplify the result.

Accepted Answer

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

Question 8

Simplify the expression.

Accepted Answer

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

Question 9

Simplify the expression.

Accepted Answer

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

Question 10

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

Accepted Answer

A)    
B)    
A)    
B)

Question 11

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

Accepted Answer

A)    
B)    
A)    
B)

Question 12

Factor the polynomial.

Accepted Answer

A) m(k + t) 
B) m(4k + t) 
C) 4(k + mt) 
D) m(k + 4t) 
E) 4m(k + t) 
A) m(k + t) 
B) m(4k + t) 
C) 4(k + mt) 
D) m(k + 4t) 
E) 4m(k + t)

Question 13

The two given numbers are coordinates of points   and   , respectively, on a coordinate line. Express the indicated statement as an inequality involving the absolute value symbol.   ,   is at least

Accepted Answer

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

Question 14

Rationalize the numerator.

Accepted Answer

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

Question 15

Approximate the real-number expression to four decimal places.

Accepted Answer

A) 0.1703 
B) 8.1664 
C) -1.1680 
D) 1.2937 
E) 3.7809 
A) 0.1703 
B) 8.1664 
C) -1.1680 
D) 1.2937 
E) 3.7809

Question 16

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 two light years.

Accepted Answer

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

Question 17

Rewrite the expression using a radical.

Accepted Answer

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

Question 18

Factor the polynomial : 16x 2  - 88x + 121

Accepted Answer

A) (4x - 11) (4x + 11) 
B) (4x - 11)  2  
C) (3x + 11)  2  
D) (11x - 4)  2  
A) (4x - 11) (4x + 11) 
B) (4x - 11)  2  
C) (3x + 11)  2  
D) (11x - 4)  2

Question 19

Rationalize the denominator.

Accepted Answer

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

Question 20

Simplify the expression.

Accepted Answer

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

Approximate the real-number expression to four decimal places :

Approximate the real-number expression to four decimal places :

Write the expression as a simplified rational number.

Simplify the expression.

Factor the polynomial.

Simplify the expression.

Rewrite the following expression without using the absolute value symbol, and simplify the result.

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.

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

Factor the polynomial.

The two given numbers are coordinates of points and , respectively, on a coordinate line. Express the indicated statement as an inequality involving the absolute value symbol. , is at least

Rationalize the numerator.

Approximate the real-number expression to four decimal places.

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 two light years.

Rewrite the expression using a radical.

Factor the polynomial : 16x² - 88x + 121

Rationalize the denominator.

Simplify the expression.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

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Topics From Analytic Geometry

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Exam 1: Fundamental Concepts of Algebra

Approximate the real-number expression to four decimal places :

Approximate the real-number expression to four decimal places :

Write the expression as a simplified rational number.

Simplify the expression.

Factor the polynomial.

Simplify the expression.

Rewrite the following expression without using the absolute value symbol, and simplify the result.

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.

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

Factor the polynomial.

The two given numbers are coordinates of points and , respectively, on a coordinate line. Express the indicated statement as an inequality involving the absolute value symbol. , is at least

Rationalize the numerator.

Approximate the real-number expression to four decimal places.

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 two light years.

Rewrite the expression using a radical.

Factor the polynomial : 16x 2 - 88x + 121

Rationalize the denominator.

Simplify the expression.

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 - 88x + 121