Module: Solving Linear Equations

Module: Solving Linear Equations Name: Lesson: Solving Equations and Formulas Date: Period:

Student Notes:

Define: 1. Equation -

Ex: x = yz What do x, y, and z stand for? ______

2. Formula -

Ex: A = lw What do the A, l, and w stand for? A = ______, l = ______, and w = ______

What does it mean to solve for a variable?

Ex: When you solve for x, the equation should look like x = ____ .

Use the ______to help you solve these problems.

Ex: Solve -5x + y = -56 for x.

Ask yourself, “What is being done to x?” DO UNDO First, it is being ______• (-5) -y Then, ______+y ÷ (-5)

Solve: -5x + y = -56 for x.

What do you like better about solving formulas for a given variable than solving equations in one variable?

Solve: 2x - 4y = 7 for x. DO UNDO

Solve: a(y + 1) = b for y. DO UNDO

Solve: 3ax - b = d - 4cx Steps: First move all x terms to one side. Then use the distributive property backwards. Solve for x.

Try a few on your own: 1.2W Solve P = , for W. DO UNDO H 2

Solve P = 2l + 2w for l. DO UNDO

Solve 4x - 3m = 2mx - 5 for x. DO UNDO