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 parenthesis.

Front

Find the sum: 2(x + 3) + (3x - 2)

Back

5x + 4

Front

Find the sum: (3x + 5) + (2x + 1)

Back

5x + 6

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Find the sum: (n + 7) + (n - 14)

Back

2n - 7

Front

Find the sum: (3w - 8) + (-6w - 4)

Back

-3w - 12

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is the result of adding two linear expressions?

Back

The result is another linear expression, which can be simplified by combining like terms.