Question 1

Write the appropriate inequality symbol in the blank so that the two inequalities are equivalent. 39 F1F1F1S1F1F1F10 3r
13 _____ r

Accepted Answer

A)  13 F1F1F1S1F1F1F10 r 
B)  13 F1F1F1S1F1F1F10 r 
C)  13 F1F1F1S1F1F1F10 r 
D)  13 F1F1F1S1F1F1F10 r 
A)  13 F1F1F1S1F1F1F10 r 
B)  13 F1F1F1S1F1F1F10 r 
C)  13 F1F1F1S1F1F1F10 r 
D)  13 F1F1F1S1F1F1F10 r B

Question 2

Find y given that x = 6 and y = 3x - 1.

Accepted Answer

A)  17 
B)  7 
C)  5 
D)  19 
A)  17 
B)  7 
C)  5 
D)  19 A

Question 3

James paid $285 for a DVD player that was priced originally at $300. What was the discount rate?

Accepted Answer

A)  3% 
B)  10% 
C)  7% 
D)  5% 
A)  3% 
B)  10% 
C)  7% 
D)  5% D

Question 4

Cab drivers in Metro City charge $4 per mile plus a fixed charge of $2 for the tip. If a tourist pays $46 for a cab ride, then how many miles was the cab ride?

Accepted Answer

A)  10 miles 
B)  13 miles 
C)  14 miles 
D)  11 miles 
A)  10 miles 
B)  13 miles 
C)  14 miles 
D)  11 miles

Question 5

Carol drove for 2 hours on a two-lane state road. She then increased her speed by 20 miles per hour on the freeway and drove for 6 more hours. If the total trip was 480 miles, then what was her speed on the freeway?

Accepted Answer

A)  60 mph 
B)  65 mph 
C)  45 mph 
D)  67 mph 
A)  60 mph 
B)  65 mph 
C)  45 mph 
D)  67 mph

Question 6

Translate into an algebraic expression. 25 decreased by the quotient of x and 7

Accepted Answer

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

Question 7

Find an algebraic expression for the underlined quantity. The distance, given that the rate is x miles per hour and the time is 5 hours.

Accepted Answer

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

Question 8

Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. 8u + 11u = 9u

Accepted Answer

A)  Ø, inconsistent 
B)  All real numbers, identity 
C)  {0}, conditional 
A)  Ø, inconsistent 
B)  All real numbers, identity 
C)  {0}, conditional

Question 9

Ferdinand sold his algebra textbook using an internet auction site that charges a commission of 8% of the selling price. After the commission was paid, Ferdinand received $22.40. If x represents the selling price, then x satisfies x - 0.08x = 22.40. Solve this equation to find the selling price.

Accepted Answer

A)  $24.35 
B)  $21.82 
C)  $27.34 
D)  $28.97 
A)  $24.35 
B)  $21.82 
C)  $27.34 
D)  $28.97

Question 10

Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. v - 11 = v + 11

Accepted Answer

A)  Ø, inconsistent 
B)  All real numbers, identity 
C)  {0}, conditional 
A)  Ø, inconsistent 
B)  All real numbers, identity 
C)  {0}, conditional

Question 11

Solve and write your solution in interval notation. -21 < 33 - 9x F1F1F1S1F1F1F10 -3

Accepted Answer

A)  [4, 6) 
B)  Ø 
C)  [2, 6) 
D)  (2, 6] 
A)  [4, 6) 
B)  Ø 
C)  [2, 6) 
D)  (2, 6]

Question 12

Mark and Brenda wish to get $128,800 for their home. The real estate agent's commission is 8% of the selling price. What should the selling price be?

Accepted Answer

A)  $141,200 
B)  $142,500 
C)  $128,800 
D)  $140,000 
A)  $141,200 
B)  $142,500 
C)  $128,800 
D)  $140,000

Question 13

The length of a rectangle must be 6 centimeters more than the width, and the perimeter must be at least 36 centimeters. What is the range of values for the width?

Accepted Answer

A)  At least 6 centimeters 
B)  At least 12 centimeters 
C)  No more than 12 centimeters 
D)  At most 6 centimeters 
A)  At least 6 centimeters 
B)  At least 12 centimeters 
C)  No more than 12 centimeters 
D)  At most 6 centimeters

Question 14

Which of the following is the correct graph of the inequality 1 < x F1F1F1S1F1F1F10 4?

Accepted Answer

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

Question 15

Solve for x. 8(x - a) - (28b - x) = a - b

Accepted Answer

A)  x = 4a + 3b 
B)  x = 4a + 4b 
C)  x = a + 3b 
D)  x = a + 4b 
A)  x = 4a + 3b 
B)  x = 4a + 4b 
C)  x = a + 3b 
D)  x = a + 4b

Question 16

Solve.

Accepted Answer

A)  {142} 
B)  {-143} 
C)  {145} 
D)  {143} 
A)  {142} 
B)  {-143} 
C)  {145} 
D)  {143}

Question 17

Liam invested some money in the Abernathy Fund and $8,436 more than that amount in the Carlson Fund. For the year he was in these funds, the Abernathy fund paid 8% simple interest and the Carlson Fund paid 11% simple interest. If the income from the two funds totalled $2,175.12, then how much was invested in each fund?

Accepted Answer

A)  $6,564 in Abernathy and $15,000 in Carlson 
B)  $16,500 in Abernathy and $8,064 in Carlson 
C)  $8,064 in Abernathy and $16,500 in Carlson 
D)  $15,000 in Abernathy and $6,564 in Carlson 
A)  $6,564 in Abernathy and $15,000 in Carlson 
B)  $16,500 in Abernathy and $8,064 in Carlson 
C)  $8,064 in Abernathy and $16,500 in Carlson 
D)  $15,000 in Abernathy and $6,564 in Carlson

Question 18

The law firm of Dewey, Cheetham, and Howe handled 45 personal injury cases this past year. this was   of the cases handled by the rival firm of Gypsum-Goode. How many personal injury cases were handled by Gypsum-Goode last year?

Accepted Answer

A)  20 cases 
B)  45 cases 
C)  25 cases 
D)  30 cases 
A)  20 cases 
B)  45 cases 
C)  25 cases 
D)  30 cases

Question 19

Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. s + 6s = 7s

Accepted Answer

A)  Ø, inconsistent 
B)  All real numbers, identity 
C)  {0}, conditional 
A)  Ø, inconsistent 
B)  All real numbers, identity 
C)  {0}, conditional

Question 20

At a 10% discount rate, Jack's discount was more than $27 on the jacket he purchased. Write an inequality to describe this situation using p for the original price of the jacket.

Accepted Answer

A)  0.1p > 27 
B)  0.9p > 27 
C)  0.1p F1F1F1S1F1F1F10 27 
D)  1.1p > 27 
A)  0.1p > 27 
B)  0.9p > 27 
C)  0.1p F1F1F1S1F1F1F10 27 
D)  1.1p > 27

Exam 2: Section 1: Linear Equations and Inequalities in One Variable

Write the appropriate inequality symbol in the blank so that the two inequalities are equivalent. 39  3r 13 _____ r

Find y given that x = 6 and y = 3x - 1.

James paid $285 for a DVD player that was priced originally at $300. What was the discount rate?

Cab drivers in Metro City charge $4 per mile plus a fixed charge of $2 for the tip. If a tourist pays $46 for a cab ride, then how many miles was the cab ride?

Carol drove for 2 hours on a two-lane state road. She then increased her speed by 20 miles per hour on the freeway and drove for 6 more hours. If the total trip was 480 miles, then what was her speed on the freeway?

Translate into an algebraic expression. 25 decreased by the quotient of x and 7

Find an algebraic expression for the underlined quantity. The distance, given that the rate is x miles per hour and the time is 5 hours.

Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. 8u + 11u = 9u

Ferdinand sold his algebra textbook using an internet auction site that charges a commission of 8% of the selling price. After the commission was paid, Ferdinand received $22.40. If x represents the selling price, then x satisfies x - 0.08x = 22.40. Solve this equation to find the selling price.

Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. v - 11 = v + 11

Solve and write your solution in interval notation. -21 < 33 - 9x  -3

Mark and Brenda wish to get $128,800 for their home. The real estate agent's commission is 8% of the selling price. What should the selling price be?

The length of a rectangle must be 6 centimeters more than the width, and the perimeter must be at least 36 centimeters. What is the range of values for the width?

Which of the following is the correct graph of the inequality 1 < x  4?

Solve for x. 8(x - a) - (28b - x) = a - b

Solve.

The law firm of Dewey, Cheetham, and Howe handled 45 personal injury cases this past year. this was of the cases handled by the rival firm of Gypsum-Goode. How many personal injury cases were handled by Gypsum-Goode last year?

Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. s + 6s = 7s

At a 10% discount rate, Jack's discount was more than $27 on the jacket he purchased. Write an inequality to describe this situation using p for the original price of the jacket.

Section 1: Real Numbers and Their Properties

Section 2: Real Numbers and Their Properties

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 1: Exponents and Polynomials

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

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