Add and Subtract Linear Expressions

Front

What is a linear expression?

Back

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

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 3x + 4x, you can combine the like terms to get 7x.

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 each term inside a set of parentheses.

Front

Simplify the expression: (3x + 4) + (2x + 5)

Back

5x + 9

Front

Subtract the expressions: (5y + 3) - (2y + 1)

Back

3y + 2

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms, while 2x and 3y are not.

Front

Use the Distributive Property to simplify: 4(2x + 3)

Back

8x + 12

Front

Combine the like terms: 6a + 3 + 4a + 2

Back

10a + 5

Front

What is the result of adding the expressions: (x + 2) + (3x + 4)?

Back

4x + 6

Front

What is the result of subtracting the expressions: (8m + 5) - (3m + 2)?

Back

5m + 3