Solving Quadratic Equations with the Square Root Property

What is the highest exponent on the variable in a quadratic equation?

• 3

• 4

• 2

• 1

In problem 1, what is the first step to solve the equation x² = 36?

• Multiply both sides by 2

• Isolate the squared term

• Subtract 36 from both sides

• Add 36 to both sides

Why do we use the plus or minus symbol when taking the square root of both sides of an equation?

• To eliminate the variable

• To simplify the equation

• To make the equation easier to solve

• To account for both positive and negative solutions

In problem 2, what is the first step to isolate the squared term in the equation P² - 50 = 0?

• Subtract 50 from both sides

• Divide both sides by 50

• Multiply both sides by 50

• Add 50 to both sides

What is the simplified form of the square root of 25 times 2?

• 5√2

• 25√2

• 2√5

• 10√2

In problem 3, what is the first step to solve the equation (x + 8)² = 9?

• Multiply both sides by 8

• Add 8 to both sides

• Isolate the quantity squared

• Subtract 8 from both sides

What are the two solutions for x in the equation (x + 8)² = 9?

• x = -9 and x = 9

• x = 11 and x = 5

• x = -3 and x = 3

• x = -11 and x = -5

In problem 4, what is the first step to solve the equation (M - 6)² = 27?

• Isolate the binomial squared

• Subtract 6 from both sides

• Multiply both sides by 6

• Add 6 to both sides

What is the simplified form of the square root of 27?

• √27

• 3√3

• 9√3

• 27√3

What are the two solutions for M in the equation (M - 6)² = 27?

• M = 6 ± 3√3

• M = 6 ± 27

• M = 6 ± 9√3

• M = 6 ± √27