Algebra and Square Roots Quiz

What is the first step in solving the equation 2x = 10?

• Add 10 to both sides

• Divide both sides by 2

• Subtract 2 from both sides

• Multiply both sides by 2

Why can't we leave a square root in the denominator if it is an irrational number?

• Because it simplifies the equation too much

• Because it is not allowed in algebra

• Because it results in a non-terminating decimal

• Because it makes the equation unsolvable

What is the property of square roots used to simplify the expression \( \frac{\sqrt{14}}{\sqrt{7}} \)?

• Square root of a quotient

• Square root of a difference

• Square root of a product

• Square root of a sum

What is the simplified form of \( \frac{\sqrt{14}}{\sqrt{7}} \)?

• \( \sqrt{14} \)

• \( \sqrt{21} \)

• \( \sqrt{2} \)

• \( \sqrt{7} \)

What is the final answer to the equation \( \sqrt{7x} = 14 \)?

• x = 2

• x = 14

• x = \sqrt{2}

• x = 7