Algebra Solutions 2

Equations

1.
a) x = 9 b) x = 19 c) x = 4 d)x = 28
e) x = 40 f) x = 7 or -7

2. Full solutions are shown for the last two.
a)x=5 b) x = 4 c) x = 18 d) x = 28
e) x-8 = 15 (÷ 3)
x= 23 ( + 8)
f)x+3 = 20 (× 5)
x=17 ( - 3)

3.
a) 4=2x
x=2
b) 15=5x
x=3
c)16=4x
x=4
d) 42 = 7x
x=8

4.
a) 2x = 4
x = 2
b) 3 = 2x - 3
6 = 2x
x =3
c) 3x - 16 = -1
3x = 15
x = 5
d) 5 = 1/2 x + 1
4 = 1/2x
8 = x
e) 6x - 3 = 5x + 1
x - 3 = 1
x = 4
f) x - 4 = 3
x = 7

Solutions to examples
1 step equations:
2. n=14 3. n=21 4. n=18

2 step equations:
2. 4n=16
so n=4
3. n/4 = 1
so n=4
4. n/3 = 4
so n = 12
5. n+5=6
so n=1

Solution to puzzle
The equation you should have formed is:
j + (j-3) + 6j + 6j + 6 =73
14j + 3 = 73
14j=70 so j=5

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