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Algebra 3.4: Solve Equations with Variables on Both Sides, Pages 154-156
Objective: I will be able to solve equations with variables on both sides.
Vocabulary: identity
Solve by bringing variables to one side. Check your work.
1.
13 + 5x = 2x - 8
2.
24 – 3m = 5m
3.
20 + n = 4n - 7
4.
9 – 3x = 17 – 2x
Solve an equation with grouping symbols. Check your work.
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5.
4x – 5 = (5x + 20)
6.
5x – 2 = 2(3x – 4)
7.
3 – 4a = 5(a – 3)
8.
8y – 6 =
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Determine the number of solution of an equation.
Three possibilities:
1.
2.
3.
ଶ
ଷ
(6y + 15)
9.
11.
5x – 6 = 5(x – 1)
10. 4(3x + 2) = 2(6x + 4)
9x + 12 = 9(x + 3)
12. 7w + 1 = 8w + 1
Summary of Steps for Solving Linear Equations:
1.
2.
3.
4.
5.
Real Life Applications.
13. A music website sold 94 single songs and 67 albums in one day. Each day, the number of
single downloads increases by 22 and the number of album downloads decreases by 5. At
this rate, in how many days will the number of single downloads be ten times the number
of album downloads?
14. A bookstore sold 115 paperbacks and 76 hard-cover books in one day. Each day, the
number of paperbacks sold increases by 18 and the number of hard-cover books sold
decreases by 7. At this rate, in how many days will the number of paperbacks sold be
five times the number of hard-cover books sold?
When solving a word problem, what is the first thing you need to identify?