Distributive and combine like terms

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, group terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is a like term?

Back

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

Front

What is the result of distributing 7(2 + 4h)?

Back

The result is 14 + 28h.

Front

How do you simplify the expression 5x + 2 + 4x + 5?

Back

Combine like terms to get 9x + 7.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any operations.

Front

What is the first step in solving the expression -6c + 2c - 4 + 8?

Back

Combine the like terms -6c and 2c to get -4c.

Front

What is the final simplified form of 20x + 50x + 3x - 100?

Back

The final simplified form is 73x - 100.

Front

How do you identify like terms in an expression?

Back

Look for terms that have the same variable and exponent; for example, 2x^2 and 5x^2 are like terms.

Front

What is the result of combining the terms 3h and 7(2 + 4h)?

Back

The result is 31h + 14 after distributing and combining like terms.