Exploring Adding and Subtracting Rational Expressions

What is a perfect square?

• A number that can be expressed as the product of two equal integers

• A number that cannot be divided by 2

• Any number that ends with 5

• A square of any prime number

How do you isolate x squared in a quadratic equation?

• Multiply both sides by x

• Divide both sides by the coefficient of x squared

• Subtract the constant term from both sides

• Add the constant term to both sides

What does taking the square root of both sides of an equation allow us to find?

• Both the positive and negative solutions for x

• The value of x squared

• The original value of x

• The coefficient of x

What is the correct approach to solve a quadratic equation by square roots?

• Subtract the square root from both sides

• Add the square root to both sides

• Divide both sides by x

• Isolate x squared and take the square root of both sides

What happens when you take the square root of a negative number in a quadratic equation?

• There is no real solution

• You get one real solution

• You get two real solutions

• You get an infinite number of solutions

How do you handle a fraction in a quadratic equation before taking the square root?

• Subtract the denominator from both sides

• Multiply both sides by the reciprocal of the fraction

• Divide both sides by the numerator

• Add the fraction to both sides

What is the square root of 144?

• 18

• 16

• 14

• 12

How can the square root of 20 be simplified?

• 2 radical 5

• 4 radical 5

• 5 radical 4

• Radical 25

What is the result of adding 3 to both sides of an equation and then taking the square root?

• 9

• Plus or minus 3

• Plus or minus the square root of 3

• 3

How do you simplify the square root of 75?

• Plus or minus 8.66

• Plus or minus 5 radical 3

• Plus or minus 25 radical 3

• Plus or minus 5 radical 15