Adding Linear Expressions

Front

What is 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 raised to the first power.

Front

What does it mean to add linear expressions?

Back

Adding linear expressions involves combining like terms to simplify the expression into a single linear expression.

Front

What are like terms?

Back

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

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same.

Front

What is the sum of (3d - 5) + (d + 3)?

Back

4d - 2

Front

What is the sum of (3x + 5) + (2x + 1)?

Back

5x + 6

Front

What is the sum of (−x + 8) + (−5x − 1)?

Back

−6x + 7

Front

What is the sum of (n + 7) + (n - 14)?

Back

2n - 7

Front

What is the sum of (3w - 8) + (-6w - 4)?

Back

-3w - 12

Front

What is the coefficient in the expression 4x + 7?

Back

The coefficient is 4, which is the number multiplying the variable x.