Question 1

Factor the polynomial.

Accepted Answer

A) 4p(k + t) 
B) 4(k + pt) 
C) p(4k + t) 
D) p(k + 4t) 
E) p(k + t) 
A) 4p(k + t) 
B) 4(k + pt) 
C) p(4k + t) 
D) p(k + 4t) 
E) p(k + t)

Question 2

Express as a polynomial.

Accepted Answer

A) 8x 3  + 28x 2 y + 294xy 2  + 196y 3  
B) 8x 3  + 84x 2 y + 294xy 2  + 343y 3  
C) 8x 3  + 28x 2 y + 98xy 2  + 343y 3  
D) 8x 3  + 84x 2 y + 98xy 2  + 686y 3  
E) 8x 3  + 294x 2 y + 84xy 2  + 343y 3  
A) 8x 3  + 28x 2 y + 294xy 2  + 196y 3  
B) 8x 3  + 84x 2 y + 294xy 2  + 343y 3  
C) 8x 3  + 28x 2 y + 98xy 2  + 343y 3  
D) 8x 3  + 84x 2 y + 98xy 2  + 686y 3  
E) 8x 3  + 294x 2 y + 84xy 2  + 343y 3

Question 3

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 4

Approximate the real-number expression to four decimal places.

Accepted Answer

A) 5.4296 
B) 1.2380 
C) 5.2886 
D) 0.1146 
E) -3.7264 
A) 5.4296 
B) 1.2380 
C) 5.2886 
D) 0.1146 
E) -3.7264

Question 5

Express as a polynomial.

Accepted Answer

A) 8x 3  + 120x 2 y + 200xy 2  + 2,000y 3  
B) 8x 3  + 600x 2 y + 120xy 2  + 1,000y 3  
C) 8x 3  + 40x 2 y + 200xy 2  + 1,000y 3  
D) 8x 3  + 40x 2 y + 600xy 2  + 400y 3  
E) 8x 3  + 120x 2 y + 600xy 2  + 1,000y 3  
A) 8x 3  + 120x 2 y + 200xy 2  + 2,000y 3  
B) 8x 3  + 600x 2 y + 120xy 2  + 1,000y 3  
C) 8x 3  + 40x 2 y + 200xy 2  + 1,000y 3  
D) 8x 3  + 40x 2 y + 600xy 2  + 400y 3  
E) 8x 3  + 120x 2 y + 600xy 2  + 1,000y 3

Question 6

Rationalize the denominator.   HINT: Multiply numerator and denominator by

Accepted Answer

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

Question 7

Factor the polynomial.

Accepted Answer

A) 7(v + st) 
B) 7s(v + t) 
C) s(v + t) 
D) s(7v + t) 
E) s(v + 7t) 
A) 7(v + st) 
B) 7s(v + t) 
C) s(v + t) 
D) s(7v + t) 
E) s(v + 7t)

Question 8

Express as a polynomial.

Accepted Answer

A) 8x 3  + 28x 2 y + 294xy 2  + 196y 3  
B) 8x 3  + 84x 2 y + 294xy 2  + 343y 3  
C) 8x 3  + 28x 2 y + 98xy 2  + 343y 3  
D) 8x 3  + 84x 2 y + 98xy 2  + 686y 3  
E) 8x 3  + 294x 2 y + 84xy 2  + 343y 3  
A) 8x 3  + 28x 2 y + 294xy 2  + 196y 3  
B) 8x 3  + 84x 2 y + 294xy 2  + 343y 3  
C) 8x 3  + 28x 2 y + 98xy 2  + 343y 3  
D) 8x 3  + 84x 2 y + 98xy 2  + 686y 3  
E) 8x 3  + 294x 2 y + 84xy 2  + 343y 3

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

Approximate the real-number expression to four decimal places.

Accepted Answer

A) 18.3355 
B) 18.2965 
C) 18.2955 
D) 17.2855 
E) 20.3255 
A) 18.3355 
B) 18.2965 
C) 18.2955 
D) 17.2855 
E) 20.3255

Question 11

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 12

Rationalize the denominator.

Accepted Answer

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

Question 13

Express as a polynomial.

Accepted Answer

A) 121x 4  - 66x 2 y 2  + 9y 4  
B) 9x 4  + 33x 2 y 2  + 121y 4  
C) 121x 4  + 33x 2 y 2  + 9y 4  
D) 9x 4  + 66x 2 y 2  + 121y 4  
E) 9x 2  + 66x 4 y 4  + 121y 2  
A) 121x 4  - 66x 2 y 2  + 9y 4  
B) 9x 4  + 33x 2 y 2  + 121y 4  
C) 121x 4  + 33x 2 y 2  + 9y 4  
D) 9x 4  + 66x 2 y 2  + 121y 4  
E) 9x 2  + 66x 4 y 4  + 121y 2

Question 14

Express as a polynomial.

Accepted Answer

A) 3x 6  - 7x 5  - 15x 4  + 21x 3  - 26x 2  + 45x - 105 
B) 3x 6  - 7x 5  - 15x 4  + 44x 3  + 21x 2  + 45x - 105 
C) 3x 6  - 7x 5  - 15x 4  + 26x 3  + 21x 2  + 45x - 105 
D) 3x 4  - 7x 3  - 15x 5  + 44x 6  + 21x 2  + 45x - 105 
E) 3x 4  - 7x 5  - 15x 3  + 3x 6  + 7x 2  + 45x - 105 
A) 3x 6  - 7x 5  - 15x 4  + 21x 3  - 26x 2  + 45x - 105 
B) 3x 6  - 7x 5  - 15x 4  + 44x 3  + 21x 2  + 45x - 105 
C) 3x 6  - 7x 5  - 15x 4  + 26x 3  + 21x 2  + 45x - 105 
D) 3x 4  - 7x 3  - 15x 5  + 44x 6  + 21x 2  + 45x - 105 
E) 3x 4  - 7x 5  - 15x 3  + 3x 6  + 7x 2  + 45x - 105

Question 15

Express as a polynomial.

Accepted Answer

A) 2x 6  - 9x 5  - 4x 4  + 24x 3  + 27x 2  + 12x - 54 
B) 2x 6  - 9x 5  - 4x 4  + 12x 3  + 27x 2  + 12x - 54 
C) 2x 4  - 9x 5  - 4x 3  + 2x 6  + 9x 2  + 12x - 54 
D) 2x 6  - 9x 5  - 4x 4  + 27x 3  - 12x 2  + 12x - 54 
E) 2x 4  - 9x 3  - 4x 5  + 24x 6  + 27x 2  + 12x - 54 
A) 2x 6  - 9x 5  - 4x 4  + 24x 3  + 27x 2  + 12x - 54 
B) 2x 6  - 9x 5  - 4x 4  + 12x 3  + 27x 2  + 12x - 54 
C) 2x 4  - 9x 5  - 4x 3  + 2x 6  + 9x 2  + 12x - 54 
D) 2x 6  - 9x 5  - 4x 4  + 27x 3  - 12x 2  + 12x - 54 
E) 2x 4  - 9x 3  - 4x 5  + 24x 6  + 27x 2  + 12x - 54

Question 16

The population dynamics of many fish are characterized by extremely high fertility rates among adults and very low survival rates among the young. A mature halibut may lay as many as 2.2 million eggs, but only 0.00036% of the offspring survive to the age of 3 years. Use scientific form to approximate the number of offspring that live to age 3.

Accepted Answer

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

Question 17

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 18

Factor the polynomial.

Accepted Answer

A) (4x 8  + 3y) (16x 4  - 12x 4 y + 9y 2 ) 
B) (4x 4  + 3y) (16x 8  - 24x 4 y + 9y 2 ) 
C) (4x 4  + 3y) (16x 8  - 12x 4 y + 9y 2 ) 
D) (4x 4  - 3y) (16x 8  + 12x 4 y + 9y 2 ) 
E) (4x 4  + 3y) (16x 8  + 24x 4 y - 9y 2 ) 
A) (4x 8  + 3y) (16x 4  - 12x 4 y + 9y 2 ) 
B) (4x 4  + 3y) (16x 8  - 24x 4 y + 9y 2 ) 
C) (4x 4  + 3y) (16x 8  - 12x 4 y + 9y 2 ) 
D) (4x 4  - 3y) (16x 8  + 12x 4 y + 9y 2 ) 
E) (4x 4  + 3y) (16x 8  + 24x 4 y - 9y 2 )

Question 19

Rewrite the expression using a radical.

Accepted Answer

A)    
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)

Factor the polynomial.

Express as a polynomial.

Factor the polynomial.

Approximate the real-number expression to four decimal places.

Express as a polynomial.

Rationalize the denominator. HINT: Multiply numerator and denominator by

Factor the polynomial.

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

Approximate the real-number expression to four decimal places.

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

Rationalize the denominator.

Express as a polynomial.

Express as a polynomial.

Express as a polynomial.

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

Factor the polynomial.

Rewrite the expression using a radical.

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

Factor the polynomial.

Express as a polynomial.

Factor the polynomial.

Approximate the real-number expression to four decimal places.

Express as a polynomial.

Rationalize the denominator. HINT: Multiply numerator and denominator by

Factor the polynomial.

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

Approximate the real-number expression to four decimal places.

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

Rationalize the denominator.

Express as a polynomial.

Express as a polynomial.

Express as a polynomial.

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

Factor the polynomial.

Rewrite the expression using a radical.

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