Rational Coefficients

Samaiyah Johnson

One-Step Equations

4x=28

divide both sides by 4

x=7

2y=156

divide both sides by 2

x= 78

Distributive Property

4(2x+5)=7(3x+2)

8x+20=21x+14

8x=21x-6

-13x=-6

x=-6/-13

x=.462

Equations Containing Fractions

y/2-5y/6=1/15

Multiply both sides by 30

15y-5(5y)=2

15y-25y=2

-10y=2

y=2/-10

y=-0.2

Equations Containing Fractions

x/2-x/3=15

Multiply all number by 6

3x-2x=90

x=90

Equation with a Decimal

4.6x+5=7

-5    -5

4.6x=2

x=2/4.6

x=.435

A Real-World Problem

Ajani had $20, and his Oma gave him $35.75. His mother also gave him some money. After that, he had a total of $90. How much did his mother give him.

20+35.75+x=90

55.75+x=90

-55.75    -55.75

x=34.25

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07_06_Equations with Rational Coefficients_Samaiyah Johnson

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Public - 8/3/16, 7:45 PM