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 add linear expressions?

Back

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

Front

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

Back

5x + 6

Front

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

Back

4d - 2

Front

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

Back

3k + 7

Front

How do you find the perimeter of a figure using a linear expression?

Back

Write a linear expression that represents the perimeter based on the lengths of the sides, then substitute the value of the variable to find the numerical perimeter.

Front

What is the perimeter expression for a rectangle with length x and width y?

Back

The perimeter is given by the expression P = 2x + 2y.

Front

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

Back

11x

Front

What does 'combining like terms' mean?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is a coefficient in a linear expression?

Back

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