Algebra I- Simplifying Square Roots/Review

Front

What is the process of simplifying square roots?

Back

To simplify a square root, factor the number under the root into its prime factors, and then take out pairs of factors as whole numbers.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

How do you factor a quadratic expression of the form x² + bx + c?

Back

To factor, find two numbers that multiply to c and add to b, then express the quadratic as (x + m)(x + n) where m and n are those two numbers.

Front

What are the roots of the equation x² + 2x - 24 = 0?

Back

The roots are x = -6 and x = 4.

Front

What is the factored form of n² + 16n + 63?

Back

The factored form is (n + 7)(n + 9).

Front

How do you solve a quadratic equation by factoring?

Back

Set the equation to zero, factor the quadratic, and then set each factor equal to zero to solve for x.

Front

What is the factored form of x² + 9x - 36?

Back

The factored form is (x + 12)(x - 3).

Front

What are the solutions to the equation x² - 9x + 20 = 0?

Back

The solutions are x = 4 and x = 5.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

What is the factored form of x² - 25?

Back

The factored form is (x + 5)(x - 5).