Mastering Quadratic Equations through Square Roots

What is the square root of 16?

• Neither 4 nor -4

• 4

• -4

• Both 4 and -4

Which of the following is a perfect square?

• 18.06

• 326

• None of the above

• 25

What is the first step in solving a quadratic equation using square roots?

• Isolate the squared term

• Add a constant to both sides

• Square root both sides

• Multiply both sides by a constant

If x^2 = 36, what are the possible values of x?

• Neither 6 nor -6

• 6

• -6

• Both 6 and -6

In the equation 80 = x^2 - 20, what is the value of x after isolating the squared term and taking the square root?

• 10

• -10

• Both 10 and -10

• Neither 10 nor -10

What is the next step after isolating the squared term in the equation 50 = (x + 2)^2 + 1?

• Multiply both sides by 2

• Divide both sides by 2

• Add 1 to both sides

• Subtract 1 from both sides

In the equation 64 = 6(x - 5)^2 + 10, what is the value of x after isolating the squared term and taking the square root?

• Both 8 and 2

• 2

• Neither 8 nor 2

• 8

What is the first step in solving the equation 64 = 6(x - 5)^2 + 10?

• Divide both sides by 6

• Subtract 10 from both sides

• Add 10 to both sides

• Multiply both sides by 6

In the pumpkin catapult problem, what is the height of the truck bed?

• 4 feet

• 5 feet

• 6 feet

• 3 feet

What is the larger value of x when the pumpkin lands in the truck bed?

• 33.7 feet

• 36.274 feet

• 40 feet

• 76.274 feet