Question 1

Write rational exponents in radical notation and radicals in rational exponential notation.
-

Accepted Answer

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

Question 2

Write rational exponents in radical notation and radicals in rational exponential notation.
-

Accepted Answer

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

Question 3

Factor the trinomial.
-1

Accepted Answer

A)  (10x + 3)(x + 2) 
B)  (10x + 1)(x + 6) 
C)  (2x - 3)(5x - 2) 
D)  (2x + 3)(5x + 2) 
A)  (10x + 3)(x + 2) 
B)  (10x + 1)(x + 6) 
C)  (2x - 3)(5x - 2) 
D)  (2x + 3)(5x + 2)

Question 4

Find the quotient and remainder when the first polynomial is divided by the second.
-

Accepted Answer

A)    
B)    
C)    
D)  x + 4 , 0 
A)    
B)    
C)    
D)  x + 4 , 0

Question 5

Factor out the greatest common factor from the polynomial. Use a positive coefficient on the GCF.
-

Accepted Answer

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

Question 6

Find the domain of the rational expression.
-

Accepted Answer

A)    
B)    
C)  All real numbers 
D)    
A)    
B)    
C)  All real numbers 
D)

Question 7

Find the product.
-

Accepted Answer

A)  7 
B)    
C)  15 
D)  9 
A)  7 
B)    
C)  15 
D)  9

Question 8

Evaluate.
-

Accepted Answer

A)  -5 
B)  5 
C)    
D)  621 
A)  -5 
B)  5 
C)    
D)  621

Question 9

Find the least common denominator.
-

Accepted Answer

A)  2(x + 2)(x - 6) 
B)  2(x - 2)(x - 6) 
C)  2(x - 2)(x + 6) 
D)  2(x + 2)(x + 6) 
A)  2(x + 2)(x - 6) 
B)  2(x - 2)(x - 6) 
C)  2(x - 2)(x + 6) 
D)  2(x + 2)(x + 6)

Question 10

Simplify the expression. Assume all variables represent positive real numbers.
-

Accepted Answer

A)    
B)    
C)    
D)  5x 
A)    
B)    
C)    
D)  5x

Question 11

Factor by grouping.
-

Accepted Answer

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

Question 12

Evaluate the expression without a calculator.
-

Accepted Answer

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

Question 13

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers.
-

Accepted Answer

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

Question 14

Factor the trinomial.
-

Accepted Answer

A)  (3z - 4)(5z + 4) 
B)  (15z + 1)(z - 16) 
C)  (3z + 4)(5z - 4) 
D)  (15z + 4)(z - 4) 
A)  (3z - 4)(5z + 4) 
B)  (15z + 1)(z - 16) 
C)  (3z + 4)(5z - 4) 
D)  (15z + 4)(z - 4)

Question 15

Factor by grouping.
-

Accepted Answer

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

Question 16

Factor the special product.
-

Accepted Answer

A)    
B)  (x + 5)(x - 5) 
C)    
D)    
A)    
B)  (x + 5)(x - 5) 
C)    
D)

Question 17

Perform the indicated operation and express in lowest terms.
-

Accepted Answer

A)    
B)    
C)    
D)  4m - 1 
A)    
B)    
C)    
D)  4m - 1

Question 18

Perform the indicated operations and simplify. Assume that all variables represent positive real numbers.
-

Accepted Answer

A)  -45 
B)  45 
C)    
D)  14 
A)  -45 
B)  45 
C)    
D)  14

Question 19

Evaluate the polynomial.
-P(x) =   + 10, P( 3)

Accepted Answer

A)  27 
B)  37 
C)  55 
D)  25 
A)  27 
B)  37 
C)  55 
D)  25

Question 20

Complete the statement using the indicated property.
-5 + x = ______ , commutative

Accepted Answer

A)  -x - 5 
B)  x - 5 
C)  x + 5 
D)  5 - x 
A)  -x - 5 
B)  x - 5 
C)  x + 5 
D)  5 - x

Write rational exponents in radical notation and radicals in rational exponential notation. -

Write rational exponents in radical notation and radicals in rational exponential notation. -

Factor the trinomial. -1

Find the quotient and remainder when the first polynomial is divided by the second. -

Factor out the greatest common factor from the polynomial. Use a positive coefficient on the GCF. -

Find the domain of the rational expression. -

Find the product. -

Evaluate. -

Find the least common denominator. -

Simplify the expression. Assume all variables represent positive real numbers. -

Factor by grouping. -

Evaluate the expression without a calculator. -

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers. -

Factor the trinomial. -

Factor by grouping. -

Factor the special product. -

Perform the indicated operation and express in lowest terms. -

Perform the indicated operations and simplify. Assume that all variables represent positive real numbers. -

Evaluate the polynomial. -P(x) = + 10, P( 3)

Complete the statement using the indicated property. -5 + x = ______ , commutative

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Filters

Exam 12: Basic Algebra Review

Write rational exponents in radical notation and radicals in rational exponential notation. -

Write rational exponents in radical notation and radicals in rational exponential notation. -

Factor the trinomial. -1

Find the quotient and remainder when the first polynomial is divided by the second. -

Factor out the greatest common factor from the polynomial. Use a positive coefficient on the GCF. -

Find the domain of the rational expression. -

Find the product. -

Evaluate. -

Find the least common denominator. -

Simplify the expression. Assume all variables represent positive real numbers. -

Factor by grouping. -

Evaluate the expression without a calculator. -

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers. -

Factor the trinomial. -

Factor by grouping. -

Factor the special product. -

Perform the indicated operation and express in lowest terms. -

Perform the indicated operations and simplify. Assume that all variables represent positive real numbers. -

Evaluate the polynomial. -P(x) = + 10, P( 3)

Complete the statement using the indicated property. -5 + x = ______ , commutative

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Filters