Transcript Multi Step Equations

Day 2
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6x + 24 - 2x + 14 = 10 6(-7) + 24 – 2(-7) + 14 = 10
4x + 38 = 10 -42 + 24 + -2(-7) + 14 = 10
-42 + 24 + 14 + 14 = 10
-38 -38
-18 + 14 + 14 = 10
4x
= -28
-4 + 14 = 10
4
4
10 = 10 
x = -7
Check in the
original equation!
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Add
Subtract Multiply Divide
minus
times
quotient
plus
difference product
sum
of
increased by decreased by
less
twice  2 
total
more than
less than
added to subtracted from
Flip Flop Numbers
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Translate the sentence below & solve.
Eight more than 3 times a number y
is the same as 29.
3y  8  29
8  8
3y  21
3 3
y7
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Translate the sentence below & solve.
Five less than the quotient of x and 2 is 37
x  5  37
2
5  5
x
 2 2  42  2
x  84
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Translate the sentence below & solve.
Seven less than the sum of 5y and 3y is 41
5y  3y  7  41
8y  7  41
7  7
8y  48
8 8
y6
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Translate the sentence below & solve.
Eleven more than the difference
of 9y and 3y is 65.
9y  3y  11  65
6y  11  65
11  11
6y  54
6
6
y9
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Mrs. Pasillas took her boys Gavin & Austin to the
pumpkin patch. Small Pumpkins were $3 each.
Large pumpkins were $ 7 each. She bought the
same number of pumpkins. How many of each did
she buy if she spent $30?
x = # of small pumpkins x = # of large pumpkins
Mrs. Pasillas 3x + 7x = 30
and her boys
bought 3 of
each kind.
10x = 30
10 10
x=3
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The
End!
Take out your study guide!
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#16
3x + 4 = 5x - 10 Steps
-3x
-3x
1) Get all of the x’s on 1 side.
4 = 2x - 10 2) Subtract 3x from both
sides.
+10
+10
3) Add 10 to both sides.
14 = 2x
2 2
4) Divide both sides by 2
7=x
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