DARTBOARD MATHS ALGEBRA generating simple equations Dave Carden
DARTBOARD MATHS ALGEBRA generating simple equations Dave Carden Liverpool Maths Team
7 5 x X+5=7 2 x y 2 m 1 20 x 2 8 k 11 4 2 y 5 3 m m y 2 2 3 1 X=2
7 5 x X+2=8 2 x y 2 m 2 20 x 2 8 k 11 4 2 y 5 3 m m y 2 2 3 1 X=6
7 5 x y+4=8 2 x y 2 m 3 20 x 2 8 k 11 4 2 y 5 3 m m y 2 2 3 1 y=4
7 5 x k + 3 = 11 2 x y 2 m 4 20 x 2 8 k 11 4 2 y 5 3 m m y 2 2 3 1 k=8
7 5 x 2 x m + 11 = 20 y 2 m 5 20 x 2 8 k 11 4 2 y 5 3 m m y 2 2 3 1 m=9
7 5 x 2 x 2 m + 5 = 11 y 2 m 6 20 x 2 8 k 11 4 2 y 5 3 m m y 2 2 3 1 m=3
7 5 x 2 x 3 m + 5 = 20 y 2 m 7 20 x 2 8 k 11 4 2 y 5 3 m m y 2 2 3 1 m=5
7 5 x 2 x 2 m + 2 = 22 y 2 m 8 20 x 2 8 k 11 4 2 y 5 3 m m y 2 2 3 1 m = 10
7 5 x 2 x 2 X + 5 = 15 y 2 m 9 20 x 2 8 k 11 4 2 y 5 3 m m y 2 2 3 1 X=5
7 5 x 2 x 2 K + 11 = 21 y 2 m 10 20 x 2 8 k 11 4 2 y 5 3 m m y 2 2 3 1 K=5
In these simple equations, x is A either 1 , 2 , 3 , 4 or 5 X+2=5 so x = X+1=6 so x = X+4=8 so x = X+3=7 so x = X-1=4 so x = X-3=1 so x = X-2=1 so x = 4 -X=0 8–X =5 so x = 7–X =5 so x =
In these simple equations, x is A either 1 , 2 , 3 , 4 or 5 X + 2 = 5 so x = 3 X + 1 = 6 so x = 5 X+4=8 so x = 4 X+3=7 so x = 4 X-1=4 so x = 5 X-3=1 so x = 4 3 4 -X=0 so x = 4 3 7–X =5 X-2=1 so x = 8–X =5 so x = 2
In these simple equations, x is B either 1 , 2 , 3 , 4 or 5 2 X + 1 = 5 so x = 2 X + 2 = 6 so x = 3 X - 1 = 5 so x = 4 X - 3 = 5 so x = 2 X - 1 = 9 so x = 2 X - 3 = 3 so x = 5 X - 2 = 1 3 so x = 4 - 2 X = 0 8 – 4 X = 0 so x = 7 – 2 X = 1 so x =
In these simple equations, x is B either 1 , 2 , 3 , 4 or 5 2 X + 1 = 5 so x = 2 2 X + 2 = 6 so x = 2 3 X - 1 = 5 so x = 2 X - 1 = 9 so x = 5 X - 2 = 1 3 so x = 8 – 4 X = 0 so x = 2 4 X - 3 = 5 so x = 2 5 2 X - 3 = 3 so x = 3 3 4 - 2 X = 0 so x = 2 2 7 – 2 X = 1 so x = 3
C Challenge -1 = 2 – X 2 = 4 X– so x= = x o s 4 x -15 = -3 X– 3= 2 x – -1 4= so x = -2 so x=
Challenge -1 = 2 – X 2 = 4 X– so 1 x= = x o s X– 3= -1 2 4 x -15 = -3 2 x – 4= so x = -2 3 so x= so 1 x= 1
The solutions to these equations are either X = 1, 2 , 3 , 4 or 5 (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) X+4=9 X – 5 = -2 X+4=8 X – 2 = -1 2 X + 1 = 7 2 X + 4 = 12 2 X – 7 = -1 3 X = 9 4 X = 20 3 X = 8 There a few odd ones out. Can you spot them ? (11) (12) (13) (14) (15) (16) (17) (18) (19) (20) 4 X – 7 = 13 10 – 3 X = 1 12 – 3 X = 0 2 X + 1 = 8 8 – 3 X = 2 4 X – 3 = 12 6 X = 6 12 = 15 X 16 = 4 X 7 X -1 = 20
Answers ! (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) X =5 X =3 X =4 X =1 X =3 X =4 X =3 X=5 X = 8/3 Did you spot the odd ones out ? (11) (12) (13) (14) (15) (16) (17) (18) (19) (20) X =5 X=3 X=4 X = 3. 5 X=2 X = 9/4 X=1 X = 12/15 X=4 X=3
Answer first ! x=2 2 x = 4 2 x + 3 = 7 Start with the answer. . both sides add. . . to both sides Now give the finished equation to your partner to solve. You can help them because you made up the question.
Answer first ! x=3 3 x = 9 3 x + 4 = 13 Start with the answer. . both sides add. . . to both sides Now give the finished equation to your partner to solve. You can help them because you made up the question.
- Slides: 21