Question 1

Rationalize the denominator.

Accepted Answer

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

Question 2

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)    B

Question 3

Factor the polynomial.

Accepted Answer

A) 5s(v + t) 
B) s(5v + t) 
C) s(v + t) 
D) 5(v + st) 
E) s(v + 5t) 
A) 5s(v + t) 
B) s(5v + t) 
C) s(v + t) 
D) 5(v + st) 
E) s(v + 5t) E

Question 4

Approximate the real-number expression to four decimal places :

Accepted Answer

A) 3.6600 
B) 4.3961 
C) 1.8961 
D) 0.7869 
E) 2.6461 
A) 3.6600 
B) 4.3961 
C) 1.8961 
D) 0.7869 
E) 2.6461

Question 5

Simplify the expression.

Accepted Answer

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

Question 6

Factor the polynomial.

Accepted Answer

A) (x - 5) (x - 4) 
B) (x - 3) (x - 17) 
C) (x + 5) (x - 4) 
D) (x + 3) (x + 17) 
E) (x + 5) (x + 4) 
A) (x - 5) (x - 4) 
B) (x - 3) (x - 17) 
C) (x + 5) (x - 4) 
D) (x + 3) (x + 17) 
E) (x + 5) (x + 4)

Question 7

Factor the polynomial.

Accepted Answer

A) (8y 2  + 5x)2  
B) (64y 2  - 5x)2  
C) (64y 2  - 5x) (64y 2  + 5x) 
D) (8y 2  - 5x) (8y 2  + 5x) 
E) (8y 2  - 5x) (8y 2  - 5x) 
A) (8y 2  + 5x)2  
B) (64y 2  - 5x)2  
C) (64y 2  - 5x) (64y 2  + 5x) 
D) (8y 2  - 5x) (8y 2  + 5x) 
E) (8y 2  - 5x) (8y 2  - 5x)

Question 8

Express the following statement as an inequality. a is not less than 6

Accepted Answer

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

Question 9

Rationalize the numerator.

Accepted Answer

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

Question 10

Simplify the expression:

Accepted Answer

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

Question 11

Express as a polynomial.

Accepted Answer

A) 8x 3  + 20x 2 y + 150xy 2  + 100y 3  
B) 8x 3  + 20x 2 y + 50xy 2  + 125y 3  
C) 8x 3  + 60x 2 y + 50xy 2  + 250y 3  
D) 8x 3  + 150x 2 y + 60xy 2  + 125y 3  
E) 8x 3  + 60x 2 y + 150xy 2  + 125y 3  
A) 8x 3  + 20x 2 y + 150xy 2  + 100y 3  
B) 8x 3  + 20x 2 y + 50xy 2  + 125y 3  
C) 8x 3  + 60x 2 y + 50xy 2  + 250y 3  
D) 8x 3  + 150x 2 y + 60xy 2  + 125y 3  
E) 8x 3  + 60x 2 y + 150xy 2  + 125y 3

Question 12

Express as a polynomial.

Accepted Answer

A) 9x 4  + 21x 2 y 2  + 49y 4  
B) 9x 4  + 42x 2 y 2  + 49y 4  
C) 9x 2  + 42x 4 y 4  + 49y 2  
D) 49x 4  + 21x 2 y 2  + 9y 4  
E) 49x 4  - 42x 2 y 2  + 9y 4  
A) 9x 4  + 21x 2 y 2  + 49y 4  
B) 9x 4  + 42x 2 y 2  + 49y 4  
C) 9x 2  + 42x 4 y 4  + 49y 2  
D) 49x 4  + 21x 2 y 2  + 9y 4  
E) 49x 4  - 42x 2 y 2  + 9y 4

Question 13

Simplify the expression.

Accepted Answer

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

Question 14

Factor the polynomial.

Accepted Answer

A) (x - 3) (x - 6) 
B) (x - 7) (x - 11) 
C) (x + 3) (x + 6) 
D) (x + 7) (x + 11) 
E) (x + 3) (x - 6) 
A) (x - 3) (x - 6) 
B) (x - 7) (x - 11) 
C) (x + 3) (x + 6) 
D) (x + 7) (x + 11) 
E) (x + 3) (x - 6)

Question 15

Simplify the expression.

Accepted Answer

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

Question 16

Express the number in decimal form.

Accepted Answer

A) 0.0037 
B) 0.037 
C) 0.00037 
D) 0.0000037 
E) 0.000037 
A) 0.0037 
B) 0.037 
C) 0.00037 
D) 0.0000037 
E) 0.000037

Question 17

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 18

Simplify the expression.

Accepted Answer

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

Question 19

Simplify the expression.

Accepted Answer

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

Question 20

Write the expression as a simplified rational number.

Accepted Answer

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

Rationalize the denominator.

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.

Approximate the real-number expression to four decimal places :

Simplify the expression.

Factor the polynomial.

Factor the polynomial.

Express the following statement as an inequality. a is not less than 6

Rationalize the numerator.

Simplify the expression:

Express as a polynomial.

Express as a polynomial.

Simplify the expression.

Factor the polynomial.

Simplify the expression.

Express the number in decimal form.

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

Simplify the expression.

Simplify the expression.

Write the expression as a simplified rational number.

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

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Exam 1: Fundamental Concepts of Algebra

Rationalize the denominator.

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.

Approximate the real-number expression to four decimal places :

Simplify the expression.

Factor the polynomial.

Factor the polynomial.

Express the following statement as an inequality. a is not less than 6

Rationalize the numerator.

Simplify the expression:

Express as a polynomial.

Express as a polynomial.

Simplify the expression.

Factor the polynomial.

Simplify the expression.

Express the number in decimal form.

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

Simplify the expression.

Simplify the expression.

Write the expression as a simplified rational number.

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