Solving Quadratic Equations with Inverse Operations

What is the inverse operation of squaring a number?

• Subtracting

• Multiplying

• Adding

• Square rooting

When solving x^2 = 16, what are the solutions for x?

• 2 and -2

• 4 and -4

• 16 and -16

• 8 and -8

What must you always introduce when taking the square root of both sides of an equation?

• A division sign

• A multiplication sign

• A plus or minus sign

• A fraction

In the equation 2x^2 + 10 = 28, what is the first step to isolate x?

• Subtract 10

• Divide by 2

• Add 10

• Multiply by 2

What is the simplified form of the square root of 20?

• 4√5

• 5√2

• 2√5

• √10

When solving (x + 5)^2 = 100, what are the possible values of x?

• 5 and -15

• 5 and -5

• 10 and -10

• 15 and -15

What is the primary reason you cannot combine 3 + 2√7?

• They are both rational numbers

• They are both irrational numbers

• One is rational and the other is irrational

• They are both integers

What are the zeros of the function y = 1/2 x^2 - 6?

• ±4

• ±5

• ±2√3

• ±3.5

Why is Francis incorrect in assuming the zeros of y = 1/2 x^2 - 6 are ±3.5?

• Because the actual zeros are irrational

• Because 3.5 is not a perfect square

• Because the zeros are complex numbers

• Because the function has no zeros

What is the decimal approximation of 2√3 to the nearest hundredth?

• 3.46

• 3.50

• 3.60

• 3.70