Algebra Unit 4 Test Review

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

Factor the expression: 2n^2 - 8n^3

Back

2n^2(1 - 4n)

Front

Factor the expression: x^2 - 16

Back

(x - 4)(x + 4) - This is a difference of squares.

Front

What is a difference of squares?

Back

A difference of squares is a special product that can be factored into the form a^2 - b^2 = (a - b)(a + b).

Front

Factor the expression: 4x^2 - 25

Back

(2x + 5)(2x - 5) - This is also a difference of squares.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

Expand the expression: (2s + 9)(3s - 4)

Back

6s^2 + 19s - 36.

Front

What does it mean to expand an expression?

Back

Expanding an expression means to multiply out the factors and combine like terms to simplify the expression.

Front

Factor out the GCF from: 3x^3 + 9x

Back

3x(x^2 + 3).