Quadratic Equations by Factoring Quiz

What is the first step in solving the quadratic equation in problem 17?

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

• Divide both sides by 3

In problem 18, what method is used to factor the quadratic equation?

• Factoring by substitution

• Factoring by grouping

• Factoring by elimination

• Factoring by division

Which two numbers multiply to 105 and add to -22 in problem 18?

• 5 and 21

• -7 and -15

• -5 and -21

• 7 and 15

In problem 19, what is the common term pulled out from the equation?

• 5x

• x

• 2x

• 7x

What is the solution for x when 7x + 2 = 0 in problem 19?

• x = -7/2

• x = -2/7

• x = 7/2

• x = 2/7

In problem 20, what is the product of a and c?

• 180

• 27

• 10

• 45

Which two numbers multiply to 180 and add to -27 in problem 20?

• 15 and 12

• -15 and -12

• 18 and 10

• -18 and -10

In problem 21, what is the greatest common factor of the first two terms?

• 7x

• 8x

• x

• 3x

What are the solutions for x in problem 21?

• x = -3/8 and x = -7

• x = 3/8 and x = 7

• x = -3/8 and x = 7

• x = 3/8 and x = -7

In problem 22, what are the solutions for a?

• a = -1/3 and a = -3/5

• a = -1/3 and a = 3/5

• a = 1/3 and a = -3/5

• a = 1/3 and a = 3/5