Factoring and Distributive Property Review

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Factor the expression: 8x - 10

Back

2(4x - 5)

Front

Use the distributive property to simplify: 5(a + 6)

Back

5a + 30

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides all the terms in an expression without leaving a remainder.

Front

Factor the expression: 20y - 5

Back

5(4y - 1)

Front

Rewrite using the distributive property: 16 + 24

Back

8(2 + 3)

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to understand or solve.

Front

Factor the expression: 12x + 18

Back

6(2x + 3)

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest exponent of the variable is one.