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. It can be written in the form ax + b, where a and b are constants.

Front

What does it mean to add linear expressions?

Back

Adding linear expressions involves combining like terms to simplify the expression. This means you add the coefficients of the same variable.

Front

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

Back

5x + 6

Front

How do you combine like terms in linear expressions?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add their coefficients.

Front

What is the sum of (7k + 9) + (4k - 3)?

Back

11k + 6

Front

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

Back

6m + 2

Front

What is the sum of (5 - t) + (3t + 2)?

Back

2t + 7

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

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

Back

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

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. In the expression 3x + 5, the number 5 is a constant.