Question 1

Solve the inequality.

Accepted Answer

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

Question 2

Solve the inequality :

Accepted Answer

A)    
B)    
C)    
D)    
E) No solution 
A)    
B)    
C)    
D)    
E) No solution

Question 3

Write the expression   in the form   , where a and b are real numbers.

Accepted Answer

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

Question 4

Express the inequality   as an interval.

Accepted Answer

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

Question 5

Solve the equation

Accepted Answer

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

Question 6

Solve the inequality.

Accepted Answer

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

Question 7

Solve the equation

Accepted Answer

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

Question 8

Solve the equation

Accepted Answer

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

Question 9

Solve the equation

Accepted Answer

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

Question 10

Solve the equation

Accepted Answer

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

Question 11

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.60 per ft  2 , determine the width of the garden that can be enclosed for $582.40.

Accepted Answer

A) 33 ft 
B) 11 ft 
C) 30 ft 
D) 28 ft 
E) 48 ft 
A) 33 ft 
B) 11 ft 
C) 30 ft 
D) 28 ft 
E) 48 ft

Question 12

Solve the equation by using the special quadratic equation.

Accepted Answer

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

Question 13

Solve the inequality :

Accepted Answer

A)    
B)    
C)    
D)    
E) No solution 
A)    
B)    
C)    
D)    
E) No solution

Question 14

British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 157 grams of a copper-silver alloy that is 9% copper by weight?

Accepted Answer

A) 154.5 g of British sterling silver and 2.5 g of copper. 
B) 148.4 g of British sterling silver and 8.6 g of copper. 
C) 142.9 g of British sterling silver and 14.1 g of copper. 
D) 134.3 g of British sterling silver and 22.7 g of copper. 
E) 155.8 g of British sterling silver and 1.2 g of copper. 
A) 154.5 g of British sterling silver and 2.5 g of copper. 
B) 148.4 g of British sterling silver and 8.6 g of copper. 
C) 142.9 g of British sterling silver and 14.1 g of copper. 
D) 134.3 g of British sterling silver and 22.7 g of copper. 
E) 155.8 g of British sterling silver and 1.2 g of copper.

Question 15

Solve the equation.

Accepted Answer

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

Question 16

Solve the equation

Accepted Answer

A)    
B)    
C)    
D)    
E) no solution 
A)    
B)    
C)    
D)    
E) no solution

Question 17

A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft  2  of glass is to be used, find the height h.

Accepted Answer

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

Question 18

Solve the formula for   .

Accepted Answer

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

Question 19

Solve the equation.

Accepted Answer

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

Question 20

Write the expression   in the form   , where a and b are real numbers.

Accepted Answer

A) 1 + i 
B) - 1 
C) - i 
D) 1 
E) i 
A) 1 + i 
B) - 1 
C) - i 
D) 1 
E) i

Solve the inequality.

Solve the inequality :

Write the expression in the form , where a and b are real numbers.

Express the inequality as an interval.

Solve the equation

Solve the inequality.

Solve the equation

Solve the equation

Solve the equation

Solve the equation

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.60 per ft ², determine the width of the garden that can be enclosed for $582.40.

Solve the equation by using the special quadratic equation.

Solve the inequality :

British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 157 grams of a copper-silver alloy that is 9% copper by weight?

Solve the equation.

Solve the equation

A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft ² of glass is to be used, find the height h.

Solve the formula for .

Solve the equation.

Write the expression in the form , where a and b are real numbers.

Fundamental Concepts of Algebra

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Topics From Analytic Geometry

Filters

Exam 2: Equations and Inequalities

Solve the inequality.

Solve the inequality :

Write the expression in the form , where a and b are real numbers.

Express the inequality as an interval.

Solve the equation

Solve the inequality.

Solve the equation

Solve the equation

Solve the equation

Solve the equation

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.60 per ft 2 , determine the width of the garden that can be enclosed for $582.40.

Solve the equation by using the special quadratic equation.

Solve the inequality :

British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 157 grams of a copper-silver alloy that is 9% copper by weight?

Solve the equation.

Solve the equation

A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft 2 of glass is to be used, find the height h.

Solve the formula for .

Solve the equation.

Write the expression in the form , where a and b are real numbers.

Fundamental Concepts of Algebra

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series and Probability

Topics From Analytic Geometry

Filters

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $1 per foot and the cost of preparing the soil is $0.60 per ft ², determine the width of the garden that can be enclosed for $582.40.

A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft ² of glass is to be used, find the height h.