7.EE.1 Equivalent Expressions/Distributive Property

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 the distributive property state?

Back

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

Front

Simplify the expression: 3(x + 4).

Back

3x + 12.

Front

What is the first step in using the distributive property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

If 2(x + 5) = 2x + 10, what property is being used?

Back

The distributive property.

Front

What is the purpose of simplifying expressions?

Back

The purpose is to make expressions easier to work with and solve.

Front

Give an example of two equivalent expressions.

Back

3(x + 2) and 3x + 6 are equivalent expressions.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Simplify the expression: 4y + 3y - 2y.

Back

5y.

Front

What is the result of applying the distributive property to 5(2 + x)?

Back

10 + 5x.