Equivalent Algebraic Expressions & The 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 the multiplication over addition.

Front

Which expression is equivalent to 5(4x + 2)?

Back

20x + 10

Front

What is the result of applying the distributive property to 3(x + 5)?

Back

3x + 15

Front

What is the equivalent expression for e(f + g)?

Back

ef + eg

Front

Which expression is equivalent to 6(x + 12)?

Back

6x + 72

Front

What is the equivalent expression for 4x + 28?

Back

4(x + 7)

Front

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

Back

10f + 20

Front

What is the first step in using the distributive property?

Back

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

Front

If a = 2 and b = 3, what is the value of 2(a + b)?

Back

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