Completing the Square in Quadratic Equations

Why does the teacher prefer to divide the entire equation by 4?

• To make the equation simpler

• To eliminate the constant term

• To make the coefficient of x squared equal to 1

• To make the coefficient of x equal to 1

What is the result of dividing 300 by 4?

• 75

• 85

• 70

• 80

Why is the term 10x not part of a perfect square trinomial?

• Because 10 is too large

• Because 10 is not a multiple of 4

• Because half of 10 squared is not 75

• Because 10 is not an even number

What term is added to both sides to complete the square?

• 35

• 30

• 25

• 20

What does the left-hand side of the equation become after completing the square?

• x - 5

• x + 5 squared

• x - 5 squared

• x + 5

What are the two possible values of x after solving the equation?

• 5 and -5

• 10 and -15

• 10 and -10

• 5 and -15

What is the first step in verifying the solution x = 5?

• Substitute x = 5 into the completed square equation

• Substitute x = 5 into the original equation

• Substitute x = 5 into the simplified equation

• Substitute x = 5 into the factored equation

What is the value of 4 times 25?

• 50

• 125

• 75

• 100

What is the value of 40 times 5?

• 300

• 200

• 250

• 150

What is the final step in verifying the solution x = 5?

• Check if the equation is factored

• Check if the left-hand side equals the right-hand side

• Check if the equation is balanced

• Check if the equation is simplified