Add 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 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.

Front

How do you combine like terms in the expression 5x + 3x?

Back

You add the coefficients of the like terms: 5x + 3x = (5 + 3)x = 8x.

Front

What is the result of adding the linear expressions (2x - 3) and (-x + 4)?

Back

The result is x + 1.

Front

What is the result of adding the linear expressions 5(x - 4) and (2x - 7)?

Back

The result is 7x - 27.

Front

How do you simplify the expression (-7x + 1) + (4x - 5)?

Back

Combine like terms: (-7x + 4x) + (1 - 5) = -3x - 4.

Front

What is the result of adding the linear expressions (-3x - 9) and (4x + 8)?

Back

The result is x - 1.

Front

What is the result of adding the linear expressions (2x - 4) and (3x - 7)?

Back

The result is 5x - 11.

Front

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

Back

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