Equivalent Expressions - Combine Like Terms & Distributive Prop

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

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

What is the result of distributing 5(2x + 6)?

Back

10x + 30

Front

Combine like terms: 3x + 5 + 2x + 7.

Back

5x + 12

Front

What is the result of distributing 4(3x - 5)?

Back

12x - 20

Front

Choose the equivalent expression for: 2(r + y).

Back

2r + 2y

Front

Distribute and then combine like terms: 2(4x + 7) + 3x.

Back

11x + 14

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

What are coefficients in algebra?

Back

Coefficients are the numerical factors in front of variables in a term.