Combine Like Terms, Dist. Prop, and Add/Subt Expressions

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

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 the expression: (4y - 8) - (3y - 9)

Back

y + 1

Front

Simplify the expression: 2x + 3(x + 3)

Back

5x + 9

Front

Simplify the expression: 2x + 1 + 7x

Back

9x + 1

Front

Simplify the expression: 3x + 2x

Back

5x

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression, indicating how many times the variable is multiplied.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and applying the distributive property.

Front

What is the result of distributing 2 in the expression 2(4 + 9w)?

Back

8 + 18w