Distribute and Combine like terms

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply a term by each term inside a set of parentheses. For example, in 5(2x + 3), you would multiply 5 by both 2x and 3.

Front

What is the result of distributing 5 in the expression 5(2x + 3)?

Back

10x + 15

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, in 3x + 4x, you can combine them to get 7x.

Front

Simplify the expression: 6 + 2(7x - 3)

Back

14x

Front

What is the result of distributing 2 in the expression 2(4 + 9w)?

Back

8 + 18w

Front

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

Back

10 - 6x

Front

What is the first step in simplifying an expression with parentheses?

Back

The first step is to distribute any coefficients outside the parentheses to each term inside the parentheses.

Front

If you have the expression 3(x + 4) + 2x, how do you simplify it?

Back

First distribute: 3x + 12 + 2x, then combine like terms to get 5x + 12.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

What is the difference between a term and a variable?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both. A variable is a symbol that represents an unknown value.