Adding and 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

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 3x + 4x, you can combine them to get 7x.

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 each term inside a set of parentheses.

Front

Find the sum: (7k - 9) + (-4k + 3)

Back

3k - 6

Front

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

Back

5x + 6

Front

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

Back

11x

Front

What is the perimeter of a figure with sides represented by the expressions (a), (2a + 3), and (3a - 1)?

Back

6a + 2

Front

Find the difference: (5x - 6) - (x + 2)

Back

4x - 8

Front

What is the simplest form of the expression 2x + 3x - 4 + 5?

Back

5x + 1

Front

How do you simplify the expression 4(x + 2) - 3(x - 1)?

Back

x + 11