Question 1

Approximate the real-number expression to four decimal places.

Accepted Answer

A) -370.8916 
B) -370.9916 
C) 370.8916 
D) 370.9916 
E) -371.8916 
A) -370.8916 
B) -370.9916 
C) 370.8916 
D) 370.9916 
E) -371.8916

Question 2

Express as a polynomial.

Accepted Answer

A) 729x 3  + 1,701x 2 y + 1,323xy 2  + 343y 3  
B) 729x 3  + 1,701x 2 y + 441xy 2  + 3,087y 3  
C) 729x 3  + 567x 2 y + 441xy 2  + 343y 3  
D) 729x 3  + 1,323x 2 y + 1,701xy 2  + 343y 3  
E) 729x 3  + 567x 2 y + 1,323xy 2  + 3,969y 3  
A) 729x 3  + 1,701x 2 y + 1,323xy 2  + 343y 3  
B) 729x 3  + 1,701x 2 y + 441xy 2  + 3,087y 3  
C) 729x 3  + 567x 2 y + 441xy 2  + 343y 3  
D) 729x 3  + 1,323x 2 y + 1,701xy 2  + 343y 3  
E) 729x 3  + 567x 2 y + 1,323xy 2  + 3,969y 3

Question 3

Write the expression as a simplified rational number.

Accepted Answer

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

Question 4

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 5

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 6

Factor the polynomial.

Accepted Answer

A) 3x 3 y 2 (6x 2  + y) 
B) 6x 3 y 2 (x 2  + y 3 ) 
C) 6x 3 y 2 (x 2  + y) 
D) 18x 3 y 2 (3x 2  + y 2 ) 
E) 6x 3 y 2 (3x 2  + y) 
A) 3x 3 y 2 (6x 2  + y) 
B) 6x 3 y 2 (x 2  + y 3 ) 
C) 6x 3 y 2 (x 2  + y) 
D) 18x 3 y 2 (3x 2  + y 2 ) 
E) 6x 3 y 2 (3x 2  + y)

Question 7

Factor the polynomial.

Accepted Answer

A) p(h + t) 
B) 3(h + pt) 
C) p(h + 3t) 
D) p(3h + t) 
E) 3p(h + t) 
A) p(h + t) 
B) 3(h + pt) 
C) p(h + 3t) 
D) p(3h + t) 
E) 3p(h + t)

Question 8

Write the expression as a simplified rational number.

Accepted Answer

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

Question 9

Rationalize the denominator.

Accepted Answer

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

Question 10

Approximate the real-number expression to four decimal places.

Accepted Answer

A) 15.1613 
B) -15.0613 
C) 15.0613 
D) -15.1613 
E) -16.0613 
A) 15.1613 
B) -15.0613 
C) 15.0613 
D) -15.1613 
E) -16.0613

Question 11

Simplify the expression.

Accepted Answer

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

Question 12

Rationalize the denominator.

Accepted Answer

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

Question 13

Write the expression as a simplified rational number.

Accepted Answer

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

Question 14

Simplify the expression:

Accepted Answer

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

Question 15

Rationalize the numerator.

Accepted Answer

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

Question 16

Express the number in decimal form.

Accepted Answer

A) 0.000011 
B) 0.011 
C) 0.0011 
D) 0.11 
E) 0.00011 
A) 0.000011 
B) 0.011 
C) 0.0011 
D) 0.11 
E) 0.00011

Question 17

Factor the polynomial.

Accepted Answer

A) (3y 3  - 7x) (3y 3  - 7x) 
B) (3y 3  - 7x) (3y 3  + 7x) 
C) (9y 3  - 7x) (9y 3  + 7x) 
D) (9y 3  - 7x)2  
E) (3y 3  + 7x)2  
A) (3y 3  - 7x) (3y 3  - 7x) 
B) (3y 3  - 7x) (3y 3  + 7x) 
C) (9y 3  - 7x) (9y 3  + 7x) 
D) (9y 3  - 7x)2  
E) (3y 3  + 7x)2

Question 18

Simplify the expression.

Accepted Answer

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

Question 19

Factor the polynomial.

Accepted Answer

A) 6x 3 y 3 (3x 4  + y) 
B) 18x 3 y 3 (3x 4  + y 2 ) 
C) 6x 3 y 3 (x 4  + y 4 ) 
D) 3x 3 y 3 (6x 4  + y) 
E) 6x 3 y 3 (x 4  + y) 
A) 6x 3 y 3 (3x 4  + y) 
B) 18x 3 y 3 (3x 4  + y 2 ) 
C) 6x 3 y 3 (x 4  + y 4 ) 
D) 3x 3 y 3 (6x 4  + y) 
E) 6x 3 y 3 (x 4  + y)

Question 20

Simplify the expression.

Accepted Answer

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

Approximate the real-number expression to four decimal places.

Express as a polynomial.

Write the expression as a simplified rational number.

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

Factor the polynomial.

Factor the polynomial.

Write the expression as a simplified rational number.

Rationalize the denominator.

Approximate the real-number expression to four decimal places.

Simplify the expression.

Rationalize the denominator.

Write the expression as a simplified rational number.

Simplify the expression:

Rationalize the numerator.

Express the number in decimal form.

Factor the polynomial.

Simplify the expression.

Factor the polynomial.

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

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Exam 1: Fundamental Concepts of Algebra

Approximate the real-number expression to four decimal places.

Express as a polynomial.

Write the expression as a simplified rational number.

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

Factor the polynomial.

Factor the polynomial.

Write the expression as a simplified rational number.

Rationalize the denominator.

Approximate the real-number expression to four decimal places.

Simplify the expression.

Rationalize the denominator.

Write the expression as a simplified rational number.

Simplify the expression:

Rationalize the numerator.

Express the number in decimal form.

Factor the polynomial.

Simplify the expression.

Factor the polynomial.

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