Distributive property and Like terms

Front

What is the distributive property?

Back

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

Front

How do you combine like terms?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same exponent.

Front

What is the result of combining the like terms in the expression: x + x + 12 - 2?

Back

The result is 2x + 10.

Front

What is the result of combining the like terms in the expression: 4a + 3b + 2 + 5?

Back

The result is 4a + 3b + 7.

Front

Are the expressions 3(x + 2) and 3x + 6 equivalent?

Back

Yes, they are equivalent due to the distributive property.

Front

What is the result of applying the distributive property to the expression: 5(x - 3)?

Back

The result is 5x - 15.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

Front

How do you identify like terms in an expression?

Back

Look for terms that have the same variable and exponent.

Front

What is the coefficient in the term 4a?

Back

The coefficient is 4.