Adding Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one. It can be written in the form ax + b, where a and b are constants.

Front

How do you combine like terms in an expression?

Back

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

Front

What is the distributive property?

Back

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

Front

Simplify the expression: 2(x + 3) + (3x - 2)

Back

5x + 4

Front

Simplify the expression: (-m + 3) + (7m - 1)

Back

6m + 2

Front

Simplify the expression: (−x + 8) + (−5x − 1)

Back

−6x + 7

Front

Simplify the expression: (3x + 5) + (2x + 1)

Back

5x + 6

Front

What does it mean to 'add linear expressions'?

Back

Adding linear expressions involves combining them by simplifying the expression to a single linear expression, usually by combining like terms.

Front

What is a coefficient in a linear expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression. For example, in 3x, 3 is the coefficient.

Front

What is a constant in a linear expression?

Back

A constant is a fixed value that does not change. In the expression 2x + 5, 5 is the constant.