Adding and Subtracting Linear Expressions

Front

What is the result of (8x + 3) + (12x + 5)?

Back

20x + 8

Front

What is the result of (-m + 3) + (7m - 1)?

Back

6m + 2

Front

What is the result of (9x + 5) - (6x - 8)?

Back

3x + 13

Front

What is the result of (-6x - 11) - (-2x - 4)?

Back

-4x - 7

Front

What is the result of (-2x - 1) - (x - 7)?

Back

-3x + 6

Front

Define a linear expression.

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the difference between addition and subtraction of linear expressions?

Back

Addition combines the coefficients of like terms, while subtraction involves changing the sign of the terms being subtracted before combining.

Front

How do you simplify the expression (3x + 4) + (2x - 5)?

Back

Combine like terms: 3x + 2x + 4 - 5 = 5x - 1.