Combining like-terms and distributive property

Front

What is the distributive property in algebra?

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 in an expression?

Back

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

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same exponent, such as 3x and 5x.

Front

What is the result of distributing 2 into the expression (4x + 7)?

Back

The result is 8x + 14.

Front

What is the simplified form of 2(4x + 7) + 3x?

Back

The simplified form is 11x + 14.

Front

What is the result of distributing 5 into the expression (2x - 3)?

Back

The result is 10x - 15.

Front

What is the simplified form of 5(2x - 3) + 12?

Back

The simplified form is 10x - 3.

Front

Which of the following is a correct evaluation: 3², 5³, 8², or 4³?

Back

Only 8² = 64 and 4³ = 64 are correct.

Front

What is the simplified form of 3x + 2x?

Back

The simplified form is 5x.

Front

What does it mean for expressions to be equivalent?

Back

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