Question 1

Simplify the expression.

Accepted Answer

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

Question 2

Place the correct symbol (, or =) between the pair of real numbers.

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 3

Rewrite the expression below by rationalizing the denominator.Simplify your answer.

Accepted Answer

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

Question 4

Evaluate the expression for the given value of x.   x = -5

Accepted Answer

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

Question 5

Evaluate the expression.

Accepted Answer

A)  3 
B)  -18 
C)  -729 
D)    
E)    
A)  3 
B)  -18 
C)  -729 
D)    
E)

Question 6

Use absolute value notation to describe the situation. w is more than nine units from -2.

Accepted Answer

A)    > 9 
B)    $\le$ 9 
C)     9 
E)    $\ge$ 9 
A)    > 9 
B)    $\le$ 9 
C)     9 
E)    $\ge$ 9

Question 7

Write the following number in scientific notation. 2,720,000

Accepted Answer

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

Question 8

Perform the indicated operation below and simplify if possible by combining like terms.Write the result in standard form.

Accepted Answer

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

Question 9

Factor the sum or difference of cubes. r3 - 125

Accepted Answer

A)  (r - 5)(r2 + 5r + 25) 
B)  (r + 5)(r2 - 5r + 25) 
C)  (r - 5)(r2 - 5r + 25) 
D)  (r + 5)3 
E)  (r - 5)3 
A)  (r - 5)(r2 + 5r + 25) 
B)  (r + 5)(r2 - 5r + 25) 
C)  (r - 5)(r2 - 5r + 25) 
D)  (r + 5)3 
E)  (r - 5)3

Question 10

Find the special product. (3x - 9)(3x + 9)

Accepted Answer

A)  6x 
B)  6x2 
C)  9x2 - 81 
D)  9x2 + 81 
E)  9x2 - 54x - 81 
A)  6x 
B)  6x2 
C)  9x2 - 81 
D)  9x2 + 81 
E)  9x2 - 54x - 81

Question 11

Determine which numbers in the set are integers.

Accepted Answer

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

Question 12

Find the domain of the expression.

Accepted Answer

A)  all real numbers 
B)  all real numbers except x = 1 
C)  all real numbers except x = -5 
D)  all real numbers except x = -5 and x = 1 
E)  x = -5 or x = 1 
A)  all real numbers 
B)  all real numbers except x = 1 
C)  all real numbers except x = -5 
D)  all real numbers except x = -5 and x = 1 
E)  x = -5 or x = 1

Question 13

Factor out the common factor. 30q - 5

Accepted Answer

A)  5(25q) 
B)  5(6q) 
C)  5(6q - 1) 
D)  30(q - 1) 
E)  30(q + 1) 
A)  5(25q) 
B)  5(6q) 
C)  5(6q - 1) 
D)  30(q - 1) 
E)  30(q + 1)

Question 14

Find the product below.

Accepted Answer

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

Question 15

Which graph represents the inequality? -2< x $\le$ 8

Accepted Answer

A)    -2 8 
B)    -2 8 
C)    -2 8 
D)    -2 8 
E)    -2 8 
A)    -2 8 
B)    -2 8 
C)    -2 8 
D)    -2 8 
E)    -2 8

Question 16

After 2 years, an investment of $550 compounded annually at an interest rate r will yield an amount of 550(1 + r)2.
Write this polynomial in standard form.

Accepted Answer

A)  1,100 + 1,100r 
B)  302,500 + 605,000r + 302,500r2 
C)  550 + 1,100r + 550r2 
D)  550r2 + 1,100r + 550 
E)  550r2 + 550r + 550 
A)  1,100 + 1,100r 
B)  302,500 + 605,000r + 302,500r2 
C)  550 + 1,100r + 550r2 
D)  550r2 + 1,100r + 550 
E)  550r2 + 550r + 550

Question 17

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

Accepted Answer

A)  48 
B)    
C)    
D)  768 
E)  -768 
A)  48 
B)    
C)    
D)  768 
E)  -768

Question 18

Perform the operation and write the result in standard form.

Accepted Answer

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

Question 19

Change the following number from scientific notation to decimal notation.

Accepted Answer

A)  0.195 
B)  0.00195 
C)  1.95 
D)  19.5 
E)  0.0195 
A)  0.195 
B)  0.00195 
C)  1.95 
D)  19.5 
E)  0.0195

Question 20

Simplify the following complex fraction.

Accepted Answer

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

Simplify the expression.

Place the correct symbol (<, >, or =) between the pair of real numbers.

Rewrite the expression below by rationalizing the denominator.Simplify your answer.

Evaluate the expression for the given value of x. x = -5

Evaluate the expression.

Use absolute value notation to describe the situation. w is more than nine units from -2.

Write the following number in scientific notation. 2,720,000

Perform the indicated operation below and simplify if possible by combining like terms.Write the result in standard form.

Factor the sum or difference of cubes. r³ - 125

Find the special product. (3x - 9)(3x + 9)

Determine which numbers in the set are integers.

Find the domain of the expression.

Factor out the common factor. 30q - 5

Find the product below.

Which graph represents the inequality? -2< x $\le$ 8

After 2 years, an investment of $550 compounded annually at an interest rate r will yield an amount of 550(1 + r)². Write this polynomial in standard form.

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

Perform the operation and write the result in standard form.

Change the following number from scientific notation to decimal notation.

Simplify the following complex fraction. $Simplify the following complex fraction.$

Equations and Inequalities

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Polynomial and Rational Functions

Exponential and Logarithmic Functions

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Exam 1: Fundamental Concepts of Algebra

Simplify the expression.

Place the correct symbol (<, >, or =) between the pair of real numbers.

Rewrite the expression below by rationalizing the denominator.Simplify your answer.

Evaluate the expression for the given value of x. x = -5

Evaluate the expression.

Use absolute value notation to describe the situation. w is more than nine units from -2.

Write the following number in scientific notation. 2,720,000

Perform the indicated operation below and simplify if possible by combining like terms.Write the result in standard form.

Factor the sum or difference of cubes. r3 - 125

Find the special product. (3x - 9)(3x + 9)

Determine which numbers in the set are integers.

Find the domain of the expression.

Factor out the common factor. 30q - 5

Find the product below.

Which graph represents the inequality? -2< x ≤\le≤ 8

After 2 years, an investment of $550 compounded annually at an interest rate r will yield an amount of 550(1 + r)2. Write this polynomial in standard form.

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

Perform the operation and write the result in standard form.

Change the following number from scientific notation to decimal notation.

Simplify the following complex fraction.

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

Factor the sum or difference of cubes. r³ - 125

Which graph represents the inequality? -2< x $\le$ 8

After 2 years, an investment of $550 compounded annually at an interest rate r will yield an amount of 550(1 + r)². Write this polynomial in standard form.

Simplify the following complex fraction. $Simplify the following complex fraction.$