SOLVING ONE AND TWO STEP EQUATIONS
WARM – UP!! As you walk in, pick up your calculator!! We will discuss your tests as your warm-up today, so wait for Ms. Rhoads to give your tests back!!
When “solving” an equation for a variable, we are trying to ‘isolate’ that variable – get it by itself
OPPOSITE OPERATIONS Addition _________________________ Subtraction _______________________ Multiplication _____________________ Division __________________________
EXAMPLE 1: 9X – 7 = 7 Questions to consider: What are we doing to x? The second thing? How do you undo these steps?
EXAMPLE 2: -9X + 1 = -80 Questions to consider: What are we doing to x? The second thing? How do you undo these steps?
Questions to consider: What are we doing to x? The second thing? How do you undo these steps?
Questions to consider: What are we doing to x? The second thing? How do you undo these steps?
Questions to consider: What are we doing to x? The second thing? How do you undo these steps?
PRACTICE Begin your practice problems in your guided notes booklet! Be sure and ask if you have any questions!
WARM UP!! *Get your calculator as you are walking in!* Solve the following one and two step equations: 1.- 8p = c = m = = 6z - 5
MULTISTEP EQUATIONS Our goal for multistep equations is the same as one and two step : we are trying to isolate the variable. What is different about multistep? More than one “x” Case 1: Two “x”s on the same side A. Combine like terms B. Solve like a one/two step equation Example 1: -20 = -4x – 6x
MULTISTEP EQUATIONS Case 2: “x”s on both sides A. Move one of your variables to the other side. REMEMBER: use opposite operations Helpful Hint: typically it is easier to move smaller “x”. Example 2: 8x – 2 = x
EXAMPLE 3: 5 + 2(Y+4) = 5(Y-3) + 10
You will NOT always get a number for an answer. Other than a real number, there are two possible solutions you could have: 1. All Real Numbers 2. No Solution Example 4: 6(4+y) = 5(y-3) +10Example 5: 3(a+1) -5=3a - 2
TRY THESE!! 1.6x-3 = 2x n n = 7n – x + 7 = 3x – – 2(y+1) = -3y + 1