Equivalent Expression- Combining Like Terms & Distributive Prop.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a multiplier across terms inside parentheses.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is an equivalent expression?

Back

An equivalent expression is one that has the same value for all values of the variable(s) involved.

Front

Simplify the expression: 2(3x + 4).

Back

6x + 8.

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 combining the like terms in the expression: 5a + 3a?

Back

8a.

Front

How do you apply the distributive property to the expression: 4(2x - 5)?

Back

8x - 20.

Front

What is the simplified form of the expression: 7 + 2(3x + 1)?

Back

6 + 6x.

Front

What is the first step in simplifying the expression: 3 + 5x + 8 - 2x?

Back

Combine the constant terms (3 and 8) to get 11.

Front

What is the simplified form of the expression: 6 + 2(7x - 3)?

Back

14x.