Upload
theodora-fox
View
238
Download
2
Tags:
Embed Size (px)
Citation preview
Solving EquationsSolving Equations
Medina 1
With Decimal & Fractions
Steps to Solve Fractions Steps to Solve Fractions EquationsEquations
Medina 2
2. Undo addition or subtraction
You may not have to do all the steps to solve the equation
“You know you are done solving when there is a positive 1 in front of the variable.”
3. Undo multiplication or division
1. Multiply the WHOLE EQUATION by the least common denominator
Fractions – Finding the Least Fractions – Finding the Least Common DenominatorCommon Denominator
Medina 3
1 2 3 4 5 6 7 8 9 10 11 121 1 2 3 4 5 6 7 8 9 10 11 122 2 4 6 8 10 12 14 16 18 20 22 243 3 6 9 12 15 18 21 24 27 30 33 364 4 8 12 16 20 24 28 32 36 40 44 485 5 10 15 20 25 30 35 40 45 50 55 606 6 12 18 24 30 36 42 48 54 60 66 727 7 14 21 28 35 42 49 56 63 70 77 848 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99108
10 10 20 30 40 50 60 70 80 90100
110
120
11 11 22 33 44 55 66 77 88 99110
121
132
12 12 24 36 48 60 72 84 96108
120
132
144
4 6and
2, 4 8and
LCM=1LCM=122
LCM=8 LCM=8
Solving Equations with Algorithm Solving Equations with Algorithm
Medina 4
To Solve:
34x 3
1
Original problem
Multiply the whole equation by 4
Check answer
3 14 4
x 4 What is the common
denominator? 3 Add 3 to both sides
44x 4
4x1 1
Divide both sides by 4
4
Solving Equations with Algorithm Solving Equations with Algorithm
Medina 5
3 14 4
1
Check:
14
1
4
1x
3 14 4
x
441
Solving Equations with Algorithm Solving Equations with Algorithm
Medina 6
3
94
x -
3x
To Solve:
x 12-1
Original problem
Check answer
4 36-
3 3
Multiply the whole equation by 4
Divide both sides by 3What is the
common denominat
or?4
Solving Equations with Algorithm Solving Equations with Algorithm
Medina 7
12-
Check:
9- 9-
12x -
3
94
x -
3
94
-1
3
1
Steps to Solve Decimal Steps to Solve Decimal EquationsEquations
Medina 8
Multiplying the whole equation by a power of 10 that would make decimals into integersPowers of
10
Then solve the new equation using the 2 steps.
1 2 310 ,10 , 10
100,1000, 10000
Solving Equations with Algorithm Solving Equations with Algorithm
Medina 9
5.6 3.6y
56
To Solve:
x 2-1
Original problem
Check answer
10 36
10 10
Multiply the whole equation by 10
Divide both sides by 10
What power of 10 would make both decimals whole numbers?
10
10y 56 56
10y 20-Subtract 56 to both sides
Solving Equations with Algorithm Solving Equations with Algorithm
Medina 10
Check:
3.63.6 2x -
5.6 3.6y
5.6 3.62-