Question 1

Find the quotient and the remainder. (x4 - 5x3 + 10) F1F1F1S1F1F1F10(x2 + 2)

Accepted Answer

A)  x2 - 5x - 2, 10x - 6 
B)  x2 - 2, -5x + 14 
C)  x2 - 5x + 2, -10x + 14 
D)  x2 - 5x - 2, 10x + 14 
A)  x2 - 5x - 2, 10x - 6 
B)  x2 - 2, -5x + 14 
C)  x2 - 5x + 2, -10x + 14 
D)  x2 - 5x - 2, 10x + 14 D

Question 2

Simplify. 3p4·(p4)3

Accepted Answer

A)  3p24 
B)  3p48 
C)  3p11 
D)  3p16 
A)  3p24 
B)  3p48 
C)  3p11 
D)  3p16 D

Question 3

Simplify.

Accepted Answer

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

Question 4

Multiply. (4 + 3s)(4 - 3s)

Accepted Answer

A)  16 - 9s2 
B)  9s2 + 16 
C)  16 - 24s + 9s2 
D)  16 - 24s - 9s2 
A)  16 - 9s2 
B)  9s2 + 16 
C)  16 - 24s + 9s2 
D)  16 - 24s - 9s2

Question 5

Perform the indicated operation. (2p + 5) + (p2 - 8p + 7)

Accepted Answer

A)  p2 + 10p + 12 
B)  p2 + 2p + 12 
C)  -5p2 + 12 
D)  p2 - 6p + 12 
A)  p2 + 10p + 12 
B)  p2 + 2p + 12 
C)  -5p2 + 12 
D)  p2 - 6p + 12

Question 6

Evaluate.

Accepted Answer

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

Question 7

A picture frame has a length l = 11 inches and a height h = 8 inches (see figure). If the frame width is x inches, write an expression for the display area of the frame.

Accepted Answer

A)  x2 - 19x + 88 in2 
B)  88 in2 
C)  4x2 - 38x + 88 in2 
D)  x2 - 88 in2 
A)  x2 - 19x + 88 in2 
B)  88 in2 
C)  4x2 - 38x + 88 in2 
D)  x2 - 88 in2

Question 8

The edges of a triangular homesite have lengths of 3x - 2, x, and x + 1. Write an expression for the perimeter of the property.

Accepted Answer

A)  4x - 1 
B)  5x - 1 
C)  6x - 1 
D)  5x - 3 
A)  4x - 1 
B)  5x - 1 
C)  6x - 1 
D)  5x - 3

Question 9

Simplify.

Accepted Answer

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

Question 10

What is the coefficient of x3 in the polynomial -5x3 + 10x2?

Accepted Answer

A)  3 
B)  5 
C)  10 
D)  -5 
A)  3 
B)  5 
C)  10 
D)  -5

Question 11

State the degree of the polynomial and determine if it is a monomial, binomial, or trinomial. -14x3

Accepted Answer

A)  3, monomial 
B)  -14, binomial 
C)  -14, monomial 
D)  3, binomial 
A)  3, monomial 
B)  -14, binomial 
C)  -14, monomial 
D)  3, binomial

Question 12

Simplify. (-5)0

Accepted Answer

A)  -5 
B)  5 
C)  -1 
D)  1 
A)  -5 
B)  5 
C)  -1 
D)  1

Question 13

A shipping carton has a length of 2x + 3, width of 3x, and a height of x. Write an expression for the volume of the box.

Accepted Answer

A)  5x3 + 9x2 
B)  6x3 + 9x 
C)  6x2 + 9x 
D)  6x3 + 9x2 
A)  5x3 + 9x2 
B)  6x3 + 9x 
C)  6x2 + 9x 
D)  6x3 + 9x2

Question 14

Expand the binomial. (s + 3)3

Accepted Answer

A)  s3 + 9s2 + 27s + 9 
B)  s3 + 9s2 + 27s + 27 
C)  s3 + 9s2 - 27s + 27 
D)  s3 + 27 
A)  s3 + 9s2 + 27s + 9 
B)  s3 + 9s2 + 27s + 27 
C)  s3 + 9s2 - 27s + 27 
D)  s3 + 27

Question 15

Simplify.

Accepted Answer

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

Question 16

Find the product. -5y7·2y2

Accepted Answer

A)  -10y9 
B)  -10y14 
C)  -5y7F1F1F1S1F1F1F102y2 
D)  -3y9 
A)  -10y9 
B)  -10y14 
C)  -5y7F1F1F1S1F1F1F102y2 
D)  -3y9

Question 17

Simplify.

Accepted Answer

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

Question 18

Simplify. (st5)6

Accepted Answer

A)  st11 
B)  st30 
C)  s6t11 
D)  s6t30 
A)  st11 
B)  st30 
C)  s6t11 
D)  s6t30

Question 19

Write the expression without negative exponents.

Accepted Answer

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

Question 20

Find the product. (4t2 + 1)(6t2 - 3)

Accepted Answer

A)  24t4 - 12t2 - 3 
B)  24t4 + 6t2 - 3 
C)  24t4 - 6t2 - 3 
D)  24t4 - 6t2 + 3 
A)  24t4 - 12t2 - 3 
B)  24t4 + 6t2 - 3 
C)  24t4 - 6t2 - 3 
D)  24t4 - 6t2 + 3

Exam 4: Section 1: Exponents and Polynomials

Find the quotient and the remainder. (x4 - 5x3 + 10) (x2 + 2)

Simplify. 3p4·(p4)3

Simplify.

Multiply. (4 + 3s)(4 - 3s)

Perform the indicated operation. (2p + 5) + (p2 - 8p + 7)

Evaluate.

A picture frame has a length l = 11 inches and a height h = 8 inches (see figure). If the frame width is x inches, write an expression for the display area of the frame.

The edges of a triangular homesite have lengths of 3x - 2, x, and x + 1. Write an expression for the perimeter of the property.

Simplify.

What is the coefficient of x3 in the polynomial -5x3 + 10x2?

State the degree of the polynomial and determine if it is a monomial, binomial, or trinomial. -14x3

Simplify. (-5)0

A shipping carton has a length of 2x + 3, width of 3x, and a height of x. Write an expression for the volume of the box.

Expand the binomial. (s + 3)3

Simplify.

Find the product. -5y7·2y2

Simplify.

Simplify. (st5)6

Write the expression without negative exponents.

Find the product. (4t2 + 1)(6t2 - 3)

Section 1: Real Numbers and Their Properties

Section 2: Real Numbers and Their Properties

Section 1: Linear Equations and Inequalities in One Variable

Section 2: Linear Equations and Inequalities in One Variable

Section 1: Linear Equations and Inequalities in Two Variables

Section 2: Linear Equations and Inequalities in Two Variables

Section 2: Exponents and Polynomials

Section 1: Factoring

Section 2: Factoring

Section 1: Rational Expressions

Section 2: Rational Expressions

Section 1: Systems of Linear Equations

Section 2: Systems of Linear Equations

Section 1: More on Inequalities

Section 2: More on Inequalities

Section 1: Radicals and Rational Exponents

Section 2: Radicals and Rational Exponents

Section 1: Quadratic Equations and Inequalities

Section 2: Quadratic Equations and Inequalities

Section 1: Functions

Section 2: Functions

Section 1: Exponential and Logarithmic Functions

Section 2: Exponential and Logarithmic Functions

Section 1: Nonlinear Systems and the Conic Sections

Section 2: Nonlinear Systems and the Conic Sections

Section 1: Sequences and Series Available Online at Www.mhhe.com/dugopolski

Section 2: Sequences and Series Available Online at Www.mhhe.com/dugopolski

Mathematical Problem Set

Algebraic Equations and Problem Solving

Algebra and Math Problems

Algebraic Equation Practice

Filters

Find the quotient and the remainder. (x⁴ - 5x³ + 10) (x² + 2)

Simplify. 3p⁴·(p⁴)³

Perform the indicated operation. (2p + 5) + (p² - 8p + 7)

What is the coefficient of x³ in the polynomial -5x³ + 10x²?

State the degree of the polynomial and determine if it is a monomial, binomial, or trinomial. -14x³

Simplify. (-5)⁰

Expand the binomial. (s + 3)³

Find the product. -5y⁷·2y²

Simplify. (st⁵)⁶

Find the product. (4t² + 1)(6t² - 3)