AFDA – Unit #1: Linear Functions Part 1
Day #1 Notes: One Variable Equations
* Always
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Block: _____ Date:_______
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**Move all ______________________ to the ____________
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***Undo _________________ and _________________ before
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Sample Problems:
1) 8b – 3 = -9
2
3
2) 2 = 7 – 5a
3)  d  3  11
4) 18 = 2(3x + 1) – 2x
5) 4x + 3x – 9 = 5
6) 3x + 2(x + 5) = 15
7) 3(4x – 5) = 18
8) -4x + 9 = 2x + 3
9) 6(c-2) + 3 = 2c + 1
10) 6x + 18 = -3(2x + 6)
Special Cases:
11) 3(x + 2) = 3x + 6
12) x + 2 = x + 4
13) 4x – 10 = 2(2x - 5)
14) 5x – 3 = 5(x – 3)
15) Harry, Ron, and Hermione are saving up for a Caribbean cruise to
reward themselves for saving the magical world from Lord Voldemort. The
cruise costs $1700 per person. Ron has a little money saved, Harry has
about twice as much saved as Ron, and Hermione has about $200 more
saved than Harry. If Hermione needs $150 more in order to have enough
for the trip, how much money does each person currently have saved?
16) MacDonald had a farm with a certain number of orange trees. He had
to cut down five trees to control the insects. Each of the remaining tress
produced 210 oranges producing a total harvest of 41,790 oranges. How
many trees did MacDonald’s farm have initially?
17) The perimeter of Tina’s rectangular garden is 60 feet. If the length of
the garden is twice the width, what are the dimensions of the garden?