Question 1

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

Accepted Answer

A)   
B)   
C)   
D)

Question 2

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

Accepted Answer

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)

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

Question 5

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

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Find the domain of the rational expression.
-

Accepted Answer

A)   
B)   
C)  All real numbers 
D)

Question 7

Find the product.
-

Accepted Answer

A)  7 
B)   
C)  15 
D)  9

Question 8

Evaluate.
-

Accepted Answer

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)

Question 10

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

Accepted Answer

A)   
B)   
C)   
D)  5x

Question 11

Factor by grouping.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Evaluate the expression without a calculator.
-

Accepted Answer

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)

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)

Question 15

Factor by grouping.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Factor the special product.
-

Accepted Answer

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

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

Question 19

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

Accepted Answer

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

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