Distribute, Combine Like Terms, Factor out

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify the expression: 2x + 1 + 7x

Back

9x + 1

Front

What is the process of 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

Simplify, then Factor: 9p - 6 - 8 + 5p

Back

14(p - 1)

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable raised to the same power.

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

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

Simplify: -4(-4d - 5)

Back

16d + 20

Front

What does it mean to factor out a common factor?

Back

Factoring out a common factor means to divide each term in an expression by the greatest common factor.

Front

Factor completely: p^2 - 14p

Back

p(p - 14)