1.5 One Step Equations Intro, Notes, and Practice

 How do inverse operations help you solve one-step equations? Essential Question

The Great Lakes

The amount of water in Lake Superior is 1720 cubic miles more than the amount of water in Lake Michigan. Lake Huron has 330 cubic miles of water less than Lake Michigan. If the total amount of water in the three lakes is 4,930 cubic miles, how much water is in Lakes Huron, Michigan, and Superior. The Great Lakes

Describe/ Draw: Lake Michigan: Lake Superior: Lake Huron: The amount of water in Lake Superior is 1720 cubic miles more than the amount of water in Lake Michigan. Lake Huron has 330 cubic miles of water less than Lake Michigan. If the total amount of water in the three lakes is 4,930 cubic miles, how much water is in Lakes Huron, Michigan, and Superior. LM 1720 more than LM 330 less than LM Do: M + S + H Decide: M + S + H = 4,930

The amount of water in Lake Superior is 1720 cubic miles more than the amount of water in Lake Michigan. Lake Huron has 330 cubic miles of water less than Lake Michigan. If the total amount of water in the three lakes is 4,930 cubic miles, how much water is in Lakes Huron, Michigan, and Superior. Define: M S H M + S + H 4930 x1720 more330 less = 4390 Too small = 7390 Too big This could take a while. If only there was an easier way…

The amount of water in Lake Superior is 1720 cubic miles more than the amount of water in Lake Michigan. Lake Huron has 330 cubic miles of water less than Lake Michigan. If the total amount of water in the three lakes is 4,930 cubic miles, how much water is in Lakes Huron, Michigan, and Superior. Define: M S H M + S + H 4930 xx x Solve Using an Equation Describe/ Draw: Lake Michigan: Lake Superior: Lake Huron: x x x x + x x – 330 = 4930

The amount of water in Lake Superior is 1720 cubic miles more than the amount of water in Lake Michigan. Lake Huron has 330 cubic miles of water less than Lake Michigan. If the total amount of water in the three lakes is 4,930 cubic miles, how much water is in Lakes Huron, Michigan, and Superior. Solve Using an Equation Describe/ Draw: Lake Michigan: Lake Superior: Lake Huron: x x x x + x x – 330 = 4930 Combine Like Terms 3x = 4930 Zero pair (goodbye friends) x = 3540 Divide (goodbye family) 3 3 x = 1180 Lake Michigan has 1180 cubic miles.

The amount of water in Lake Superior is 1720 cubic miles more than the amount of water in Lake Michigan. Lake Huron has 330 cubic miles of water less than Lake Michigan. If the total amount of water in the three lakes is 4,930 cubic miles, how much water is in Lakes Huron, Michigan, and Superior. What about the others? Describe/ Draw: Lake Michigan: Lake Superior: Lake Huron: x x x = 1180 Lake Michigan has 1180 cubic miles. = = 2900 Lake Superior has 2900 cubic miles. = 1180 – 330 = 850 Lake Huron has 850 cubic miles.

 Hello, Equations!  Guess and Check is a helpful process, but it becomes way too difficult as math gets more complex.  We are going to increase our confidence in using equations to solve problems by starting off with simpler problems and building up our skills.  Some problems may seem easy enough to logically figure out the answer without using an equation, but don’t be tempted! You need to practice on the easier problems so that you can better tackle more complex problems! Goodbye, Guess and Check

 Vocabulary:  Operation: something that is done to a value  Such as: addition, subtraction, multiplication, division  Inverse: opposite/reverse; an operation that undoes an action  Addition Subtraction  Multiplication Division Solving One Step Equations

 Steps:  Locate the variable and identify what operation is being done to it  Do the inverse operation  Be sure to stay balanced and fair by doing the exact same thing to both sides  Plug your answer back into the original equation to check your solution Solving One Step Equations

n – 19 = n = -22 Examples Check: (-22) – 19 = = -41

Practice