Question 1

Factor out the common factor. 5r(2r + 3) + (2r + 3)

Accepted Answer

A)  (2r + 3)5r 
B)  (2r + 3)5r + 1 
C)  (2r + 3)5r - 1 
D)  (2r + 3)(5r + 1) 
E)  (2r + 3)(5r - 1) 
A)  (2r + 3)5r 
B)  (2r + 3)5r + 1 
C)  (2r + 3)5r - 1 
D)  (2r + 3)(5r + 1) 
E)  (2r + 3)(5r - 1)

Question 2

Simplify the following rational expression.

Accepted Answer

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

Question 3

Simplify the expression below.

Accepted Answer

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

Question 4

Approximate the numbers and place the correct symbol () between them.

Accepted Answer

A)  -3  3.25 
E)  -3 > 3.75 
A)  -3  3.25 
E)  -3 > 3.75

Question 5

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol () between them. 2, -3

Accepted Answer

A)  2  -3 
A)  2  -3

Question 6

Evaluate   when   and

Accepted Answer

A)  2 
B)  4 
C)  784 
D)  197 
E)  392 
A)  2 
B)  4 
C)  784 
D)  197 
E)  392

Question 7

Give a verbal description of the subset of real numbers represented by the inequality. 6 < x $\le$ 9

Accepted Answer

A)  all real numbers less than 6 and greater than 9 
B)  all real numbers between 6 and 9 not including 6 or 9 
C)  all real numbers between 6 and 9, including 6 but not including 9 
D)  all real numbers between 6 and 9, including 9 but not including 6 
E)  all real numbers between 6 and 9, including 6 and 9 
A)  all real numbers less than 6 and greater than 9 
B)  all real numbers between 6 and 9 not including 6 or 9 
C)  all real numbers between 6 and 9, including 6 but not including 9 
D)  all real numbers between 6 and 9, including 9 but not including 6 
E)  all real numbers between 6 and 9, including 6 and 9

Question 8

A wind chill temperature is a measure of how cold it feels outside.The wind chill temperature   (in degrees Fahrenheit) is given by   where   is the actual temperature (in degrees Fahrenheit) and   is the wind speed (in miles per hour).Find the wind chill temperature for the given conditions below. Actual temperature:   wind speed:   mph

Accepted Answer

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

Question 9

Completely factor the expression. 3n3 - 192

Accepted Answer

A)  3(n - 4)2(n + 4) 
B)  3(n - 4)(n + 4)2 
C)  3(n + 4)(n2 - 4n + 16) 
D)  3(n - 4)(n2 - 4n + 16) 
E)  3(n - 4)(n2 + 4n + 16) 
A)  3(n - 4)2(n + 4) 
B)  3(n - 4)(n + 4)2 
C)  3(n + 4)(n2 - 4n + 16) 
D)  3(n - 4)(n2 - 4n + 16) 
E)  3(n - 4)(n2 + 4n + 16)

Question 10

Find the domain of the expression. x2 - 8x + 15

Accepted Answer

A)  all real numbers 
B)  all real numbers except x = 3 and x = 5 
C)  all real numbers except x = 0 
D)  x = 3 or x = 5 
E)  x > 0 
A)  all real numbers 
B)  all real numbers except x = 3 and x = 5 
C)  all real numbers except x = 0 
D)  x = 3 or x = 5 
E)  x > 0

Question 11

The average yearly cost of tuition, fees, and room and board at private four-year colleges in the United States was $21,294 for the academic year 1998/1999 and $27,461 for the academic year 2003/2004.Find the average yearly rate of inflation over this six-year period.Round to the nearest hundredth of a percent.

Accepted Answer

A)  4.15% 
B)  4.50% 
C)  4.33% 
D)  4.99% 
E)  5.16% 
A)  4.15% 
B)  4.50% 
C)  4.33% 
D)  4.99% 
E)  5.16%

Question 12

Determine which numbers in the set are natural numbers.

Accepted Answer

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

Question 13

Evaluate the expression for the given value of x. expression:   value: x = -4

Accepted Answer

A)  29 
B)  -115 
C)  77 
D)  -94 
E)  50 
A)  29 
B)  -115 
C)  77 
D)  -94 
E)  50

Question 14

Perform the addition and simplify.

Accepted Answer

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

Question 15

Find the special product. (-4x - 5)2

Accepted Answer

A)  16x2 + 40x + 25 
B)  16x2 + 20x + 25 
C)  -8x2 - 10 
D)  16x2 - 25 
E)  16x2 + 25 
A)  16x2 + 40x + 25 
B)  16x2 + 20x + 25 
C)  -8x2 - 10 
D)  16x2 - 25 
E)  16x2 + 25

Question 16

A rectangular room has a floor space of   square feet.If the width of the room is   feet, what is the length?

Accepted Answer

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

Question 17

Factor the perfect square trinomial.

Accepted Answer

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

Question 18

Perform the subtraction and simplify.

Accepted Answer

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

Question 19

Identify the degree and leading coefficient of the polynomial. 5 - 6x2 + 4x

Accepted Answer

A)  degree: 3 leading coefficient: 4 
B)  degree: 2 leading coefficient: 6 
C)  degree: 3 leading coefficient: 6 
D)  degree: 2 leading coefficient: -6 
E)  degree: 2 leading coefficient: 5 
A)  degree: 3 leading coefficient: 4 
B)  degree: 2 leading coefficient: 6 
C)  degree: 3 leading coefficient: 6 
D)  degree: 2 leading coefficient: -6 
E)  degree: 2 leading coefficient: 5

Factor out the common factor. 5r(2r + 3) + (2r + 3)

Simplify the following rational expression.

Simplify the expression below.

Approximate the numbers and place the correct symbol (< or >) between them.

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them. 2, -3

Evaluate when and

Give a verbal description of the subset of real numbers represented by the inequality. 6 < x $\le$ 9

Completely factor the expression. 3n³ - 192

Find the domain of the expression. x² - 8x + 15

Determine which numbers in the set are natural numbers.

Evaluate the expression for the given value of x. expression: value: x = -4

Perform the addition and simplify.

Find the special product. (-4x - 5)²

A rectangular room has a floor space of square feet.If the width of the room is feet, what is the length?

Factor the perfect square trinomial.

Perform the subtraction and simplify.

Identify the degree and leading coefficient of the polynomial. 5 - 6x² + 4x

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters

Exam 1: Fundamental Concepts of Algebra

Factor out the common factor. 5r(2r + 3) + (2r + 3)

Simplify the following rational expression.

Simplify the expression below.

Approximate the numbers and place the correct symbol (< or >) between them.

Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them. 2, -3

Evaluate when and

Give a verbal description of the subset of real numbers represented by the inequality. 6 < x ≤\le≤ 9

Completely factor the expression. 3n3 - 192

Find the domain of the expression. x2 - 8x + 15

Determine which numbers in the set are natural numbers.

Evaluate the expression for the given value of x. expression: value: x = -4

Perform the addition and simplify.

Find the special product. (-4x - 5)2

A rectangular room has a floor space of square feet.If the width of the room is feet, what is the length?

Factor the perfect square trinomial.

Perform the subtraction and simplify.

Identify the degree and leading coefficient of the polynomial. 5 - 6x2 + 4x

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters

Give a verbal description of the subset of real numbers represented by the inequality. 6 < x $\le$ 9

Completely factor the expression. 3n³ - 192

Find the domain of the expression. x² - 8x + 15

Find the special product. (-4x - 5)²

Identify the degree and leading coefficient of the polynomial. 5 - 6x² + 4x