Just equations

Equations Live Chat #3 Instructor: Tonya Andry-Stelter

What Does it Mean to Solve an Equation? ,[object Object],[object Object]

What are the parts of an equation? ,[object Object],Coefficient Constant Variable

So do we just use trial and error to find the right value? ,[object Object],[object Object],[object Object],[object Object]

Solving 1 Step Equations How much does the suitcase weigh in terms of blocks? B=Blocks S=Suitcase Equation: 6B + S = 9B -6B -6B 3B S = What is the weight of the suitcase if each block has a weight of 2lbs. ? S = 3 (2) = 6 lbs.

So how do we solve equations with inverse operations? ,[object Object],Step 1: - 13 Answer: - 13 Now that we have solved the equation, let’s check the solution:

So how do we solve equations with inverse operations? ,[object Object],Step 1: + 5 Answer: + 5 Now that we have solved the equation, let’s check the solution:

So how do we solve equations with inverse operations? ,[object Object],Step 1: Step 2: 25 Answer: 25 Now that we have solved the equation, let’s check the solution:

So how do we solve equations with inverse operations? ,[object Object],Step 1: Step 2: (16) Answer: (16) Now that we have solved the equation, let’s check the solution:

1 Step Equation X + 11 = 9 X - 37 = 52 3X = 72 -11 -11 X = -2 3 3 X = 24 1 1 20 + h = 41 17 - s = 27

1 Step Equations Continued… X / 5 = 10 X / 7 = 4 6X = 42 P = 3 / s = 21 2 5 3 4

Multi Step Equations Solve: 8m – 10 = 36 8m – 10 = 36 8m = 46 8 8 m = + 10 + 10

Multi Step Equations 5x  2 = x + 4 Solve: 5x  2 = x + 4 Notice that there are variables on both sides 5x = x + 6 Get rid of the -2 on the left side Simplify 5x = x + 6 Get rid of the x on the right side 4x = 6 Get rid of the coefficient of x 4 4 x = Simplify Simplify + 2 + 2 – x – x

Solving a Proportion ,[object Object],12 12

Solving a Proportion ,[object Object],52 52

Checking the Solution to a Proportion ,[object Object],2

Using Proportions to Solve Problems ,[object Object]

Word Problems ,[object Object]

Fishing Pole Price ,[object Object]

[object Object],Annual Earnings

Money Conversion ,[object Object]

Material Cost ,[object Object],$8378 = $70C + $57S Total Cost = Concrete Cost + Soil Cost 3 times as much soil as concrete S = 3C $8378 = $70C + $57(3C) $8378 = $70C + $171C $8378 = $241C $8378 $241 = C C ≈ 34.76 yds S = 3(34.76) S = 104.28yds.

Recipes (Proportions) ,[object Object],= Recipe Sugar Recipe Flour = New Amount of Sugar New Amount of Flour 3 ● X = = 2 ● 9/4 3X = 4.5 X = 1.5 3 2 ¼ 2 X

Just equations

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