What's the first step?
x + 2= 10
5
Remove the fraction (Multiply 10 by 5)
If p=3 and q=4, what is the value of: 2p+q?
2(3) + 4 = 10
2x = 8
x = 4
2x + 2= 10
5
Show all working
2x + 2= 10
5
2x+2 = 50
2x = 48
x=24
A number divided by 7 resulted in 12. What was the number?
x/7 = 12
x = 84
3 + 2k = 7
5
Remove the constant (Subtract 3 from 7)
If p=9 and q=4, what is the value of: p+q2-3 ?
9 + 44 - 3 = 22
3x - 7 = 17
3x - 7 = 17
3x = 24
x = 8
-5i - 3 = -43
Show all working
-5i - 3 = -43
-5i = -43 + 3
-5i = -40
i = 8
A number was doubled and then divided by 5 and the result was 10. What was the number?
2x/5 = 10
2x = 50
x = 25
-5 = 6d - 7d + 4
Combine like terms
If p=4, q=3 and r=8, what is the value of p(q+r)?
4(3+8) = 44
x + 2= 10
5
x + 2= 10
5
x+2 = 50
x = 48
4a - 9 = 7a + 12
Show all working
4a - 9 = 7a + 12
4a-7a = 12+9
-3a = 21
a=-7
Sam multiplied a number by 5, divided by 2, and then subtracted 11. If his final answer was 19, what was his original number?
5x/2 - 11 = 19
x = 6
4j + 26 = 50 + 6j
If p=8, q=2 and r=6, what is the value of (p+q)-(r+q)?
(8+2) - (6+2) = 2
8 - 3x = 8
8 - 3x = 8
-3x = 0
x = 0
3(5c-4) = 8c + 2
Show all working
3(5c-4) = 8c + 2
15c-12 = 8c+2
15c-8c = 2+12
7c=14
c=2
Sam multiplied a number by 5, subtracted 11, and then divided by 2. His final answer was 17. What was his original number?
5x-11/2 = 17
5x-11 = 34
5x=45
x=9
15 - 6k = 8
7
Remove the constant (Subtract 15 from 8)
If p=10, q=5 and r=8, what is the value of:
q r ?
p-6
5(8) =
10-6
40 =
4
10
x/3 + 6 = 12
x/3 + 6 = 12
x/3 = 6
x = 18
2d+18 = 12 -6(d+7)
Show all working
2d+18 = 12 -6(d+7)
2d+18 = 12 -6d -42
2d+6d = 12 -42 -18
8d = -48
d= -6
Joel is 5 years older than Simone, who is m years old. The sum of their ages is 43. How old is Simone?
Bonus point for any group that get it correct: How old is Joel?
5+m + m =43
5 + 2m = 43
2m = 38
m = 19 --> Therefore, Simone is 14 years old.
Bonus point answer: Joel is 14+5 = 19.