24-25 Algebra I Factoring Flashcard Review

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

If the length of a rectangular garden is 15 feet longer than three times the width, how can this relationship be expressed algebraically?

Back

Length = 3w + 15, where w is the width.

Tags

CCSS.HSF.IF.A.2

Front

What does the expression (2x + 1)² represent when expanded?

Back

(2x + 1)² = 4x² + 4x + 1.

Tags

CCSS.HSA.APR.C.4

Front

What is the process of factoring a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of its linear factors.

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

Front

How do you factor the expression x² - 9?

Back

x² - 9 can be factored as (x - 3)(x + 3) using the difference of squares.

Tags

CCSS.HSA.APR.C.4

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial graph.

Front

What is the zero-product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Tags

CCSS.HSA-REI.B.4B

Front

How do you solve a quadratic equation by factoring?

Back

Set the equation to zero, factor the quadratic, and then use the zero-product property to find the solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.