Question 1

Solve the following inequality:

Accepted Answer

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

Question 2

Solve the following equation:

Accepted Answer

A)  11 
B)  36 
C)  12 
D)  Both A and B 
E)  Both A and C 
A)  11 
B)  36 
C)  12 
D)  Both A and B 
E)  Both A and C

Question 3

Solve by taking square roots:

Accepted Answer

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

Question 4

Solve by factoring:

Accepted Answer

A)    , 0 
B)    ,   
C)    , 0 
D)    , 0 
E)    
A)    , 0 
B)    ,   
C)    , 0 
D)    , 0 
E)

Question 5

Solve the following equation:

Accepted Answer

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

Question 6

Solve by completing the square:

Accepted Answer

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

Question 7

Write a quadratic equation that has integer coefficients and has solutions -12 and -7.

Accepted Answer

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

Question 8

Solve by factoring:

Accepted Answer

A)  5, 2 
B)  The equation cannot be factored. It is prime. 
C)  -5, -2 
D)  5, -2 
E)  -5, 2 
A)  5, 2 
B)  The equation cannot be factored. It is prime. 
C)  -5, -2 
D)  5, -2 
E)  -5, 2

Question 9

Solve by completing the square:

Accepted Answer

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

Question 10

Solve by taking square roots:

Accepted Answer

A)  -5, 7 
B)  3 
C)  1 
D)  -1, 3 
E)  -3, 5 
A)  -5, 7 
B)  3 
C)  1 
D)  -1, 3 
E)  -3, 5

Question 11

Solve the following inequality:

Accepted Answer

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

Question 12

Write a quadratic equation that has integer coefficients and has as solutions the numbers 6 and -6.

Accepted Answer

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

Question 13

Solve the following equation:

Accepted Answer

A)  -3 
B)  -9 
C)  3 
D)  0 
E)  9 
A)  -3 
B)  -9 
C)  3 
D)  0 
E)  9

Question 14

Solve by taking square roots:

Accepted Answer

A)    
B)    
C)    
D)  5 and -5 
E)  5i and -5i 
A)    
B)    
C)    
D)  5 and -5 
E)  5i and -5i

Question 15

Solve the following equation:

Accepted Answer

A)  -5, 4 
B)  -25, 16 
C)  25, -16 
D)  125, -64 
E)  None of the above 
A)  -5, 4 
B)  -25, 16 
C)  25, -16 
D)  125, -64 
E)  None of the above

Question 16

Solve by taking square roots:

Accepted Answer

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

Question 17

Solve by factoring:

Accepted Answer

A)  -4, -1 
B)  The equation cannot be factored. It is prime. 
C)  -4, 1 
D)  4, -1 
E)  4, 1 
A)  -4, -1 
B)  The equation cannot be factored. It is prime. 
C)  -4, 1 
D)  4, -1 
E)  4, 1

Question 18

Solve by completing the square:

Accepted Answer

A)  -4, -2 
B)  1 - 3i, 1 + 3i 
C)  1 - 3i, -1 + 3i 
D)  -3i, 3i 
E)  4, -2 
A)  -4, -2 
B)  1 - 3i, 1 + 3i 
C)  1 - 3i, -1 + 3i 
D)  -3i, 3i 
E)  4, -2

Question 19

A model rocket is launched with an initial velocity of 200 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by   . How many seconds after the launch will the rocket be 100 ft above the ground? Round to the nearest hundredth of a second.

Accepted Answer

A)  0.26 s and 12.24 s 
B)  0.52 s and 11.98 s 
C)  23.96 s 
D)  0.48 s and 12.98 s 
E)  1.04 s and 23.96 s 
A)  0.26 s and 12.24 s 
B)  0.52 s and 11.98 s 
C)  23.96 s 
D)  0.48 s and 12.98 s 
E)  1.04 s and 23.96 s

Question 20

Solve by taking square roots:

Accepted Answer

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

Solve the following inequality:

Solve the following equation:

Solve by taking square roots:

Solve by factoring:

Solve the following equation:

Solve by completing the square:

Write a quadratic equation that has integer coefficients and has solutions -12 and -7.

Solve by factoring:

Solve by completing the square:

Solve by taking square roots:

Solve the following inequality:

Write a quadratic equation that has integer coefficients and has as solutions the numbers 6 and -6.

Solve the following equation:

Solve by taking square roots:

Solve the following equation:

Solve by taking square roots:

Solve by factoring:

Solve by completing the square:

A model rocket is launched with an initial velocity of 200 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by . How many seconds after the launch will the rocket be 100 ft above the ground? Round to the nearest hundredth of a second.

Solve by taking square roots:

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

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Exam 10: Quadratic Equations

Solve the following inequality:

Solve the following equation:

Solve by taking square roots:

Solve by factoring:

Solve the following equation:

Solve by completing the square:

Write a quadratic equation that has integer coefficients and has solutions -12 and -7.

Solve by factoring:

Solve by completing the square:

Solve by taking square roots:

Solve the following inequality:

Write a quadratic equation that has integer coefficients and has as solutions the numbers 6 and -6.

Solve the following equation:

Solve by taking square roots:

Solve the following equation:

Solve by taking square roots:

Solve by factoring:

Solve by completing the square:

A model rocket is launched with an initial velocity of 200 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by . How many seconds after the launch will the rocket be 100 ft above the ground? Round to the nearest hundredth of a second.

Solve by taking square roots:

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