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math project

october 12, 2015

seventh period

parker, holly, and korbyn

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In this google presentation, we will be showing examples of the steps and answers of equations. Mrs. Henry’s 8th grade math class has been learning and understanding equations for the first 9 week period. This includes properties of real numbers and properties of equality. an equation is a statement that the values of two mathematical expressions are equal.

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Equation one:

4x=2/5 >> use the multiplicative inverse

1/4times4x/1= 2/5times1/4 >> do the multiplicative inverse on both sides

x= 2/20 reduces to 1/10

x=1/10

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Equation two:

x - ¼ = 2/5 >> add ¼ from both sides

+¼ = +¼

2/5 + ¼ = 13/ 20

x = 13/20

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equation three:

15-2/3x = 20 >> use the subtraction property of equality

-15 -15 >> subtract 15

-2/3x= 5 >> use the multiplicative inverse

-3/2times-2/3x = 5times-3/2

x = -15/2

x= -7.5

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Equation four:

5-2(x-3) = -23 >> use the distributive property

5 - 2x + 6 = -23 >> subtract 6 from both sides

-6 = -6

5- 2x = -29 >> subtract 5 from both sides

-5 = -5

-2x = -34 >> now divide -2 from each side

/-2 = /-2

x = 17

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the smith’s needed a moving van. kph movers charge $90 per hour plus a $50 truck fee. star moving company charges $70 per hour plus a $90 truck fee. At what number of hours will the cost for both companies be the same?

equation>> 90h+50 = 70h+ 90

solving the equation>> 90h+50 = 70h+90 >> use the subtraction property

-50 -50 >> subtract 50

90h = 70h+40

-70h = -70h+40 >> subtract 70h

20h = 40

20 20 >> divide by 20

40 divided by 20 equals 2

h=2

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explanation for slide seven

at two hours kph moving and star moving would be the same.

subtraction property>> States that when both sides of an equation have the same number subtracted from them, the remaining expressions are still equal.

multiplicative inverse>> Another name for Reciprocal. When you multiply a number by its "Multiplicative Inverse" you get 1.