Equivalent Expressions

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 variables involved.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.

Front

Simplify the expression: 6y + 22y + y.

Back

29y

Front

Use the distributive property to simplify: 6(2x - 3).

Back

12x - 18

Front

What is the result of applying the distributive property to 5(2f + 4)?

Back

10f + 20

Front

Simplify the expression: 4(x + 6).

Back

4x + 24

Front

What is the equivalent expression for 7(3a + 4b)?

Back

21a + 28b

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they yield the same result when evaluated for the same values of their variables.

Front

What is the first step in simplifying an expression using the distributive property?

Back

Multiply the term outside the parentheses by each term inside the parentheses.

Front

If 3(x + 2) = 3x + 6, what property is being used?

Back

The distributive property.