Question 1

Solve the following equation:

Accepted Answer

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

Question 2

Solve by taking square roots:

Accepted Answer

A)  -31, 41 
B)  -1, 11 
C)  1, 11 
D)  -6, 6 
E)  5 
A)  -31, 41 
B)  -1, 11 
C)  1, 11 
D)  -6, 6 
E)  5

Question 3

A cruise ship made a trip of 198 mi in 9 h. The ship traveled the first 54 mi at a constant rate before increasing its speed by 6 mph. Then it traveled another 144 mi at the increased speed. Find the rate of the cruise ship for the first 54 mi.

Accepted Answer

A)  19 mph 
B)  18 mph 
C)  20 mph 
D)  17 mph 
E)  21 mph 
A)  19 mph 
B)  18 mph 
C)  20 mph 
D)  17 mph 
E)  21 mph

Question 4

Write a quadratic equation that has integer coefficients and has solutions   and 6.

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Question 5

Solve by taking square roots:

Accepted Answer

A)  -7, 7 
B)  -7i, 7i 
C)  7 
D)  0, 7 
E)  -7 
A)  -7, 7 
B)  -7i, 7i 
C)  7 
D)  0, 7 
E)  -7

Question 6

Write a quadratic equation that has integer coefficients and has solutions   and   .

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Question 7

Solve by taking square roots:

Accepted Answer

A)  10 
B)  -10 
C)  -10i, 10i 
D)  -10, 10 
E)  0, 10 
A)  10 
B)  -10 
C)  -10i, 10i 
D)  -10, 10 
E)  0, 10

Question 8

Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions.

Accepted Answer

A)  Two real 
B)  One real 
C)  Two complex 
A)  Two real 
B)  One real 
C)  Two complex

Question 9

Solve the following equation:

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Question 10

Solve by taking square roots:

Accepted Answer

A)  13 
B)  -37, 53 
C)  3, 13 
D)  8 
E)  -17, 33 
A)  13 
B)  -37, 53 
C)  3, 13 
D)  8 
E)  -17, 33

Question 11

Solve and graph the solution set:

Accepted Answer

A)      
B)      
C)      
D)      
E)  None of the above 
A)      
B)      
C)      
D)      
E)  None of the above

Question 12

Solve the following equation:

Accepted Answer

A)  -7, 1 
B)  -7 , 0 
C)  7, -1 
D)  -7 -1 
E)  7, 1 
A)  -7, 1 
B)  -7 , 0 
C)  7, -1 
D)  -7 -1 
E)  7, 1

Question 13

Solve by factoring:

Accepted Answer

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

Question 14

Solve the following inequality:

Accepted Answer

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

Question 15

Solve by using the quadratic formula:

Accepted Answer

A)    
B)  7, 4 
C)  -7, 4 
D)    
E)  -7, -4 
A)    
B)  7, 4 
C)  -7, 4 
D)    
E)  -7, -4

Question 16

Write a quadratic equation that has integer coefficients and has solutions 4 and -11.

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Solve the following equation:

Solve by taking square roots:

A cruise ship made a trip of 198 mi in 9 h. The ship traveled the first 54 mi at a constant rate before increasing its speed by 6 mph. Then it traveled another 144 mi at the increased speed. Find the rate of the cruise ship for the first 54 mi.

Write a quadratic equation that has integer coefficients and has solutions and 6.

Solve by taking square roots:

Write a quadratic equation that has integer coefficients and has solutions and .

Solve by taking square roots:

Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions.

Solve the following equation:

Solve by taking square roots:

Solve and graph the solution set:

Solve the following equation:

Solve by factoring:

Solve the following inequality:

Solve by using the quadratic formula:

Write a quadratic equation that has integer coefficients and has solutions 4 and -11.

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Linear Functions and Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Functions and Relations

Exponential and Logarithmic Functions

Filters

Exam 10: Quadratic Equations

Solve the following equation:

Solve by taking square roots:

A cruise ship made a trip of 198 mi in 9 h. The ship traveled the first 54 mi at a constant rate before increasing its speed by 6 mph. Then it traveled another 144 mi at the increased speed. Find the rate of the cruise ship for the first 54 mi.

Write a quadratic equation that has integer coefficients and has solutions and 6.

Solve by taking square roots:

Write a quadratic equation that has integer coefficients and has solutions and .

Solve by taking square roots:

Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions.

Solve the following equation:

Solve by taking square roots:

Solve and graph the solution set:

Solve the following equation:

Solve by factoring:

Solve the following inequality:

Solve by using the quadratic formula:

Write a quadratic equation that has integer coefficients and has solutions 4 and -11.

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Linear Functions and Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Functions and Relations

Exponential and Logarithmic Functions

Filters