lesson 2 - solving equations using inverse...
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Lesson 2 Solving Equations Using Inverse Operations Multiple Variables.notebookApril 18, 2015
Outcome1. Model and solve problems, using linear equaons of the form where a, b, c, d, e and f are raonal numbers:
• ax = b
• = b, a ≠ 0
• ax + b = c
• + b = c, a ≠ 0
• ax = b + cx
• a(x + b) = c
• ax + b = cx + d
• a(bx + c) = d(ex + f)
• = b, x ≠ 0
2. Explain and illustrate strategies to solve single variable linear inequalies with raonal coefficients within a problem‐solving context.
Lesson 2 Solving Equations Using Inverse Operations Multiple Variables.notebookApril 18, 2015
Part 2 Multiple Variables
Some PreAlgebra Help
Lesson 2 Solving Equations Using Inverse Operations Multiple Variables.notebookApril 18, 2015
Strategies:
"Drawing the Line" / Algebraic
45 = 5x
45/5 = 5x/5
9=x
"Unwrapping a Present"/ Illustrating Steps
Review Your Skills!
Write your Responses and group with your Worksheets
Complete Worksheet Booklets and hand in for Formative Marks on Power School
Lesson 2 Solving Equations Using Inverse Operations Multiple Variables.notebookApril 18, 2015
Solving Equations for unknows...
3n + 6 = 3Working Concretely
1) What side is the unknown on?
2) What numbers are on that side?
3) Get rid of the number farthest from the unknown first (do the opposite)
4) Remove the remaining numbers, working closer to the unknown each time
Working with multiple variablesSimplify: Group all like terms on the same side of
the equal sign first.
6 2m + 7 + 4m = 12
Lesson 2 Solving Equations Using Inverse Operations Multiple Variables.notebookApril 18, 2015
Working With Brackets
Expand first, then simplify
5(x 7) = 15
Examples
2(m + 4) = 11 3(t 2.7) = 1.8
7.6 = 2( 3 y) 8.4 = 6(a + 2.4)
Lesson 2 Solving Equations Using Inverse Operations Multiple Variables.notebookApril 18, 2015
Examples
a) 4(g + 5) = 15 b)3(4j + 5) = 20
c) 2.2(h 5.3) = 6.58 d) 0.04(5 s) = 0.3
What mistakes did the student make?
Write a correct solution for each equation
Lesson 2 Solving Equations Using Inverse Operations Multiple Variables.notebookApril 18, 2015
Practice Your Skills
Complete Worksheet Booklet
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