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

How do you add linear expressions?

Back

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

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, while 3x and 3y are not.

Front

What is the sum of (6 - k) + (4k + 1)?

Back

3k + 7

Front

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

Back

6m + 2

Front

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

Back

2n - 7

Front

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

Back

11k + 6

Front

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

Back

5x + 6

Front

What does it mean to combine like terms?

Back

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

Front

What is the coefficient in the expression 5x + 3?

Back

The coefficient is 5, which is the number multiplying the variable x.