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 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 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

Use the distributive property to find an equivalent expression: 5(2f + 4).

Back

10f + 20.

Front

Simplify the expression: 6(3y - 2y + 7).

Back

6y + 42.

Front

What is the result of distributing 7 in the expression 7(3a + 4b)?

Back

21a + 28b.

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 an expression is equivalent to 3x + 5 and you add 2 to it, what is the new equivalent expression?

Back

3x + 7.

Front

What is the equivalent expression for 4(2x + 3)?

Back

8x + 12.