one step equations
TRANSCRIPT
Notes and Instruction
Solving One-Step Linear Equations
To solve linear equations, we use INVERSE OPERATIONS!!!!
• If you see ADDITION, get rid of it by using SUBTRACTION.
• If you see SUBTRACTION, get rid of it by using ADDITION.
• If you see MULTIPLICATION, get rid of it by using DIVISION.
• If you see DIVISION, get rid of it by using MULTIPLICATION.
Here are some examples of One-Step Linear Equations:
1. Solve: x + 12 = -3 - 12 -12
x = -152. Solve: q – 7 = -4 +7 +7 q = 3
3. Solve: 7p = -28 7 7 p = -44. Solve:
y = 40
Remember that you can check your answers by substituting for the missing
variable!1. x + 12 = -3 -15 + 12 = -3 Correct!2. q – 7 = -4 3 – 7 = -4 Correct!3. 7p = -28 7(-4) = -28 Correct!4.
40/4 = 10 Correct!
You may have to write your own equation and then solve it…
• Renaldo needs to buy some folders that are $0.60 each. How many can he buy with $6?
Let x represent the number of folders:
0.60x = 60.60 0.60x = 10Renaldo can buy 10 folders.
• Carmen gave a sales clerk $50 to pay for her $32.75 worth of clothes. How much change should she get?
Let x represent her change.50 – 32.75 = x17.25 = xCarmen should get back
$17.25.
More Examples • If the perimeter of a square
is 240 feet, find the length of one side.
All the sides of a square are of equal length, and we find perimeter by adding up all its sides.
Let x = one side length.4x = 240 4 4x = 60Each side measures 60 feet.
• Write an equation to represent the following statement. Then, solve for the missing number. “Eighty increased by a number is negative twenty.”
Let x be the missing number. 80 + x = -20 -80 -80 x = -100The number is -100.
Some Extra Practice for You!
• Click on the link below to see a few more examples of solving one-step equations. Then, take the 5 question quiz at the end:
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_OneVariableOneStep.xml
• Try solving one-step equations AND playing basketball at the same time with this game:
http://www.math-play.com/One-Step-Equation-Game.html