Adding Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one. It can be written in the form ax + b, where a and b are constants.

Front

How do you add linear expressions?

Back

To add linear expressions, combine like terms by adding the coefficients of the same variable.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Simplify the expression: 5x + 3x.

Back

8x.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a parenthesis.

Front

Simplify the expression: 2(3 + 4).

Back

14.

Front

Find the sum: (2x + 3) + (4x + 5).

Back

6x + 8.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract the coefficients of terms that have the same variable and exponent.

Front

Find the sum: (x + 2) + (3x - 4).

Back

4x - 2.

Front

What is the result of adding the expressions (a + b) + (b + c)?

Back

a + 2b + c.