Question 1

Factor the polynomial.

Accepted Answer

A) (x + 1 + 6y) (x - 1 - 6y) 
B) (x + 1 - 6y) (x + 1 - 6y) 
C) (x + 1 + 6y) (x + 1 - 6y) 
D) (x - 1 + 6y) (x + 1 - 6y) 
E) (x - 1 + 6y) (x - 1 + 6y) 
A) (x + 1 + 6y) (x - 1 - 6y) 
B) (x + 1 - 6y) (x + 1 - 6y) 
C) (x + 1 + 6y) (x + 1 - 6y) 
D) (x - 1 + 6y) (x + 1 - 6y) 
E) (x - 1 + 6y) (x - 1 + 6y)

Question 2

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 3

Express as a polynomial.

Accepted Answer

A) 81x 4  + 198x 2 y 2  + 121y 4  
B) 121x 4  - 198x 2 y 2  + 81y 4  
C) 121x 4  + 99x 2 y 2  + 81y 4  
D) 81x 2  + 198x 4 y 4  + 121y 2  
E) 81x 4  + 99x 2 y 2  + 121y 4  
A) 81x 4  + 198x 2 y 2  + 121y 4  
B) 121x 4  - 198x 2 y 2  + 81y 4  
C) 121x 4  + 99x 2 y 2  + 81y 4  
D) 81x 2  + 198x 4 y 4  + 121y 2  
E) 81x 4  + 99x 2 y 2  + 121y 4

Question 4

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

Accepted Answer

A) (4x - 7)  2  
B) (6x + 7)  2  
C) (7x - 4)  2  
D) (4x - 7) (4x + 7) 
A) (4x - 7)  2  
B) (6x + 7)  2  
C) (7x - 4)  2  
D) (4x - 7) (4x + 7)

Question 5

Simplify the expression:

Accepted Answer

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

Question 6

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

Accepted Answer

A)    
B)    
A)    
B)

Question 7

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

Accepted Answer

A)    
B)    
A)    
B)

Question 8

Express as a sum of terms of the form   where r is a rational number.

Accepted Answer

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

Question 9

Simplify the expression.

Accepted Answer

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

Question 10

Write the expression as a simplified rational number.

Accepted Answer

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

Question 11

Simplify the expression.

Accepted Answer

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

Question 12

Simplify the expression.

Accepted Answer

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

Question 13

Simplify the expression.

Accepted Answer

A) 1 
B)    
C)    
D)    
E)    
A) 1 
B)    
C)    
D)    
E)

Question 14

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

Accepted Answer

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

Question 15

Express as a polynomial.

Accepted Answer

A) 3x 4  - 9x 5  - 12x 3  + 3x 6  + 9x 2  + 12x - 36 
B) 3x 6  - 9x 5  - 12x 4  + 9x 3  - 33x 2  + 12x - 36 
C) 3x 4  - 9x 3  - 12x 5  + 39x 6  + 9x 2  + 12x - 36 
D) 3x 6  - 9x 5  - 12x 4  + 33x 3  + 9x 2  + 12x - 36 
E) 3x 6  - 9x 5  - 12x 4  + 39x 3  + 9x 2  + 12x - 36 
A) 3x 4  - 9x 5  - 12x 3  + 3x 6  + 9x 2  + 12x - 36 
B) 3x 6  - 9x 5  - 12x 4  + 9x 3  - 33x 2  + 12x - 36 
C) 3x 4  - 9x 3  - 12x 5  + 39x 6  + 9x 2  + 12x - 36 
D) 3x 6  - 9x 5  - 12x 4  + 33x 3  + 9x 2  + 12x - 36 
E) 3x 6  - 9x 5  - 12x 4  + 39x 3  + 9x 2  + 12x - 36

Question 16

Express the following statement as an inequality. a is not less than 2

Accepted Answer

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

Question 17

Factor the polynomial.

Accepted Answer

A) 2x 3 y 5 (3x 2  + y) 
B) 2x 3 y 5 (x 2  + y) 
C) 3x 3 y 5 (2x 2  + y) 
D) 6x 3 y 5 (3x 2  + y 2 ) 
E) 2x 3 y 5 (x 2  + y 6 ) 
A) 2x 3 y 5 (3x 2  + y) 
B) 2x 3 y 5 (x 2  + y) 
C) 3x 3 y 5 (2x 2  + y) 
D) 6x 3 y 5 (3x 2  + y 2 ) 
E) 2x 3 y 5 (x 2  + y 6 )

Question 18

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

Accepted Answer

A) 28 
B) 84 
C) -84 
D) 14 
E) -14 
A) 28 
B) 84 
C) -84 
D) 14 
E) -14

Question 19

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 20

Factor the polynomial.

Accepted Answer

A) (4x 6  + 5y) (16x 3  - 20x 3 y + 25y 2 ) 
B) (4x 3  + 5y) (16x 6  - 20x 3 y + 25y 2 ) 
C) (4x 3  + 5y) (16x 6  + 40x 3 y - 25y 2 ) 
D) (4x 3  - 5y) (16x 6  + 20x 3 y + 25y 2 ) 
E) (4x 3  + 5y) (16x 6  - 40x 3 y + 25y 2 ) 
A) (4x 6  + 5y) (16x 3  - 20x 3 y + 25y 2 ) 
B) (4x 3  + 5y) (16x 6  - 20x 3 y + 25y 2 ) 
C) (4x 3  + 5y) (16x 6  + 40x 3 y - 25y 2 ) 
D) (4x 3  - 5y) (16x 6  + 20x 3 y + 25y 2 ) 
E) (4x 3  + 5y) (16x 6  - 40x 3 y + 25y 2 )

Factor the polynomial.

Factor the polynomial.

Express as a polynomial.

Factor the polynomial : 16x² - 56x + 49

Simplify the expression:

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

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

Express as a sum of terms of the form where r is a rational number.

Simplify the expression.

Write the expression as a simplified rational number.

Simplify the expression.

Simplify the expression.

Simplify the expression.

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

Express as a polynomial.

Express the following statement as an inequality. a is not less than 2

Factor the polynomial.

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

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

Factor the polynomial.

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

Factor the polynomial.

Factor the polynomial.

Express as a polynomial.

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

Simplify the expression:

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

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

Express as a sum of terms of the form where r is a rational number.

Simplify the expression.

Write the expression as a simplified rational number.

Simplify the expression.

Simplify the expression.

Simplify the expression.

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

Express as a polynomial.

Express the following statement as an inequality. a is not less than 2

Factor the polynomial.

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

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

Factor the polynomial.

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