Adding/Subtracting 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 result of (2x + 3) + (x + 4)?

Back

3x + 7

Front

How do you represent a situation where a person collects items over time using a linear expression?

Back

Use the expression that includes the initial amount and the rate of collection, such as 2x + 6 for collecting 2 items per week starting with 6.

Front

Write a linear expression for Bob's savings if he has $150 and saves $40 per month.

Back

40x + 150

Front

What is the process for subtracting linear expressions?

Back

To subtract linear expressions, distribute the negative sign and then combine like terms.

Front

What is the result of (6x + 3y + 4) - (8x + 9y)?

Back

-2x - 6y + 4

Front

What does the term 'like terms' mean in algebra?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the result of (x + 9y + 5) - (-8x + 4y - 7)?

Back

9x + 5y + 12

Front

Define the term 'coefficient' in a linear expression.

Back

A coefficient is a numerical factor that multiplies a variable in an expression, such as 3 in 3x.