Question 1

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

Accepted Answer

A) 29 
B) -84 
C) 4 
D) -4 
E) 84 
A) 29 
B) -84 
C) 4 
D) -4 
E) 84

Question 2

Approximate the real-number expression to four decimal places.

Accepted Answer

A) 6.7588 
B) 4.7298 
C) 4.7688 
D) 3.7188 
E) 4.7288 
A) 6.7588 
B) 4.7298 
C) 4.7688 
D) 3.7188 
E) 4.7288

Question 3

Simplify the expression.

Accepted Answer

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

Question 4

Factor the polynomial.

Accepted Answer

A) 7x 2 y 4 (2x 3  + y) 
B) 7x 2 y 4 (x 3  + y 5 ) 
C) 14x 2 y 4 (2x 3  + y 2 ) 
D) 7x 2 y 4 (x 3  + y) 
E) 2x 2 y 4 (7x 3  + y) 
A) 7x 2 y 4 (2x 3  + y) 
B) 7x 2 y 4 (x 3  + y 5 ) 
C) 14x 2 y 4 (2x 3  + y 2 ) 
D) 7x 2 y 4 (x 3  + y) 
E) 2x 2 y 4 (7x 3  + y)

Question 5

Rationalize the denominator.   HINT: Multiply numerator and denominator by

Accepted Answer

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

Question 6

Rationalize the denominator.

Accepted Answer

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

Question 7

Approximate the real-number expression to four decimal places.

Accepted Answer

A) -16.0120 
B) -15.0120 
C) 15.1120 
D) 15.0120 
E) -15.1120 
A) -16.0120 
B) -15.0120 
C) 15.1120 
D) 15.0120 
E) -15.1120

Question 8

Express as a polynomial.

Accepted Answer

A) 3x 6  - 5x 5  - 6x 4  + 13x 3  + 5x 2  + 6x - 10 
B) 3x 4  - 5x 5  - 6x 3  + 3x 6  + 5x 2  + 6x - 10 
C) 3x 4  - 5x 3  - 6x 5  + 13x 6  + 5x 2  + 6x - 10 
D) 3x 6  - 5x 5  - 6x 4  + 7x 3  + 5x 2  + 6x - 10 
E) 3x 6  - 5x 5  - 6x 4  + 5x 3  - 7x 2  + 6x - 10 
A) 3x 6  - 5x 5  - 6x 4  + 13x 3  + 5x 2  + 6x - 10 
B) 3x 4  - 5x 5  - 6x 3  + 3x 6  + 5x 2  + 6x - 10 
C) 3x 4  - 5x 3  - 6x 5  + 13x 6  + 5x 2  + 6x - 10 
D) 3x 6  - 5x 5  - 6x 4  + 7x 3  + 5x 2  + 6x - 10 
E) 3x 6  - 5x 5  - 6x 4  + 5x 3  - 7x 2  + 6x - 10

Question 9

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 10

Rationalize the denominator.   HINT: Multiply numerator and denominator by

Accepted Answer

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

Question 11

Approximate the real-number expression to four decimal places.

Accepted Answer

A) 14.6629 
B) 15.7129 
C) 15.6739 
D) 17.7029 
E) 15.6729 
A) 14.6629 
B) 15.7129 
C) 15.6739 
D) 17.7029 
E) 15.6729

Question 12

Rationalize the numerator.

Accepted Answer

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

Question 13

Express the number in decimal form.

Accepted Answer

A) 0.079 
B) 0.0000079 
C) 0.00079 
D) 0.000079 
E) 0.0079 
A) 0.079 
B) 0.0000079 
C) 0.00079 
D) 0.000079 
E) 0.0079

Question 14

Rationalize the denominator.   HINT: Multiply numerator and denominator by

Accepted Answer

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

Question 15

Rationalize the denominator.   HINT: Multiply numerator and denominator by

Accepted Answer

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

Question 16

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

Accepted Answer

A) 105 
B) 35 
C) 21 
D) -105 
E) -35 
A) 105 
B) 35 
C) 21 
D) -105 
E) -35

Question 17

Express as a polynomial.

Accepted Answer

A) 42x 3  - 9x 2  + 28x - 8 
B) 9x 3  + 33x 2  + 45x - 8 
C) 9x 3  + 42x 2  + 45x - 8 
D) 42x 3  - 33x 2  + 28x - 8 
E) 9x 3  + 33x 2  + 28x - 8 
A) 42x 3  - 9x 2  + 28x - 8 
B) 9x 3  + 33x 2  + 45x - 8 
C) 9x 3  + 42x 2  + 45x - 8 
D) 42x 3  - 33x 2  + 28x - 8 
E) 9x 3  + 33x 2  + 28x - 8

Question 18

Express as a polynomial.

Accepted Answer

A) 65x 3  - 21x 2  + 27x - 20 
B) 65x 3  - 30x 2  + 27x - 20 
C) 21x 3  + 30x 2  + 27x - 20 
D) 21x 3  + 65x 2  + 38x - 20 
E) 21x 3  + 30x 2  + 38x - 20 
A) 65x 3  - 21x 2  + 27x - 20 
B) 65x 3  - 30x 2  + 27x - 20 
C) 21x 3  + 30x 2  + 27x - 20 
D) 21x 3  + 65x 2  + 38x - 20 
E) 21x 3  + 30x 2  + 38x - 20

Question 19

Factor the polynomial.

Accepted Answer

A) (x - 3) (x - 4) 
B) (x + 7) (x + 5) 
C) (x - 7) (x - 5) 
D) (x + 3) (x + 4) 
E) (x + 3) (x - 4) 
A) (x - 3) (x - 4) 
B) (x + 7) (x + 5) 
C) (x - 7) (x - 5) 
D) (x + 3) (x + 4) 
E) (x + 3) (x - 4)

Question 20

Express the following statement as an inequality. a is not less than 4

Accepted Answer

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

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

Approximate the real-number expression to four decimal places.

Simplify the expression.

Factor the polynomial.

Rationalize the denominator. HINT: Multiply numerator and denominator by

Rationalize the denominator.

Approximate the real-number expression to four decimal places.

Express as a 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 denominator. HINT: Multiply numerator and denominator by

Approximate the real-number expression to four decimal places.

Rationalize the numerator.

Express the number in decimal form.

Rationalize the denominator. HINT: Multiply numerator and denominator by

Rationalize the denominator. HINT: Multiply numerator and denominator by

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

Express as a polynomial.

Express as a polynomial.

Factor the polynomial.

Express the following statement as an inequality. a is not less than 4

Equations and Inequalities

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Exam 1: Fundamental Concepts of Algebra

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

Approximate the real-number expression to four decimal places.

Simplify the expression.

Factor the polynomial.

Rationalize the denominator. HINT: Multiply numerator and denominator by

Rationalize the denominator.

Approximate the real-number expression to four decimal places.

Express as a 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 denominator. HINT: Multiply numerator and denominator by

Approximate the real-number expression to four decimal places.

Rationalize the numerator.

Express the number in decimal form.

Rationalize the denominator. HINT: Multiply numerator and denominator by

Rationalize the denominator. HINT: Multiply numerator and denominator by

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

Express as a polynomial.

Express as a polynomial.

Factor the polynomial.

Express the following statement as an inequality. a is not less than 4

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