students will be able to solve equations with variables on both sides
TRANSCRIPT
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2.4 Solving Equations with Variables on both
sides
Students will be able to solve equations with variables on both sides
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Rules
Move variables on one side of equation and constants (numbers) on the other side.
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Example
k+1=3k-1
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Solve
8 + 5c = 7c – 2
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You Try-
9f – 6 = 3f + 7
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1) Distribute first2) Combine Like Terms3) Then get all the variables on one side and
the constants on the other.
Solve by Grouping
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Solve:
)26(3108 ss
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Solve
)72(612183
1 qq
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Example
5m- 3 = 1m + 7 8 8 2 8
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You Try
.7z +1.9 + 0.1z = 5.5-.4z
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Example
12y + 6 = 6(2y + 1)
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You Try
8z = 4(2z+1)
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Set-up an equation and SolveCurrently, you have $80 and your sister has $145. You decide to save $6 of your allowance each week, while your sister decides to spend her whole allowance plus $7 each week. How long will it be before you have as much money as your sister?
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You Try
The membership fee for joining a gardening association is $24 per year. A local botanical garden charges members of the gardening association $3 admission to the garden. Nonmembers of the association are charged $6. After how many visits to the garden is the total cost for members, including the membership fee, the same as the total cost for nonmembers?
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Find the values of x so that the figures have the same area.
x
103x
6