equação do 1 grau

Prévia do material em texto

Solving Linear Equations Mosaic
F
E
D
C
B
A
1 2 3 4 5 6 7 8
Yellow -20 to -10
Dark Blue -9 to 10
Light Blue 11 to 20
Green 21 to 50
1A 4x = -60 
2A 2x = -12 
3A x + 10 = 7 
4A 4 − x = 1 
5A 3x + 1 = 25 
6A 2x − 3 = 7 
7A 3x + 7 = -23 
8A 9x + 3 = 21 
1C 5x + 3 = -7 
2C x2 = 4 
3C 2(2x − 7) = 106 
4C 43 = 5x − 17 
5C 3x − 19 = x + 31 
6C 2x + 7 = 5x − 32 
7C 2x2 = 18 
8C 12 − x = 2x + 21 
1B 10x − 9 = 81 
2B 18 = 4x + 2 
3B x3 = 2 
4B 2x − 11 = 39 
5B 15 − 3x = -18 
6B 2x3 = 4 
7B 7 = 3x + 1 
8B 2(x + 5) = 18 
1D 5x + 2 = 3x + 10 
2D 4 − x = x + 10 
3D 3x + 1 = 5x − 29 
4D 2(x − 5) = x + 10 
5D 3(x + 1) = x + 41 
6D 2x5 + 3 = 23 
7D 7x8 + 9 = 16 
8D 3(x + 1)2 = -9 
Instructions
Answer the question corresponding to each 
grid reference. Calculate the answer to 
each question by solving the equation for 
x. Choose the correct range in the key to 
decide what colour each square should be.
1E 7(x + 5) = 2(2x + 25) 
2E 3(2x − 9) = 4x − 13 
3E 5x4 + 2 = 
29
2 
4E x + 3 = 2x − 24 
5E 3(x + 2)2 = 33 
6E 3(3x + 2)4 = 
x + 38
2 
7E 4x − 3 = 9 − 2x 
8E 4 − x = 15 
1F 3x + 4 = x − 30 
2F 8(2x + 1) = 12x − 12 
3F 9 − 3x = 2 − x 
4F 17 − 4x = 8 − 3x 
5F x2 = 9 
6F 3x2 = 12 
7F 4x + 11 = x − 10 
8F 2x2 + 5 = 13 
https://www.twinkl.co.uk/resources/keystage3-ks3/keystage3-ks3-maths
Solving Linear Equations Mosaic Answers
F
E
D
C
B
A
1 2 3 4 5 6 7 8
Yellow -20 to -10
Dark Blue -9 to 10
Light Blue 11 to 20
Green 21 to 50
1A 4x = -60 x = -15
2A 2x = -12 x = -6
3A x + 10 = 7 x = -3 
4A 4 − x = 1 x = 3
5A 3x + 1 = 25 x = 8
6A 2x − 3 = 7 x = 5
7A 3x + 7 = -23 x = -10 
8A 9x + 3 = 21 x = 2
1C 5x + 3 = -7 x = -2
2C x2 = 4 x = 2 (or -2)
3C 2(2x − 7) = 106 x = 30
4C 43 = 5x − 17 x = 12
5C 3x − 19 = x + 31 x = 25
6C 2x + 7 = 5x − 32 x = 13
7C 2x2 = 18 x = 3 (or -3)
8C 12 − x = 2x + 21 x = -3 
1B 10x − 9 = 81 x = 9
2B 18 = 4x + 2 x = 4
3B x3 = 2 x = 6
4B 2x − 11 = 39 x = 25 
5B 15 − 3x = -18 x = 11
6B 2x3 = 4 x = 6
7B 7 = 3x + 1 x = 2
8B 2(x + 5) = 18 x = 4
1D 5x + 2 = 3x + 10 x = 4
2D 4 − x = x + 10 x = -3 
3D 3x + 1 = 5x − 29 x = 15
4D 2(x − 5) = x + 10 x = 20
5D 3(x + 1) = x + 41 x = 19
6D 2x5 + 3 = 23 x = 50
7D 7x8 + 9 = 16 x = 8
8D 3(x + 1)2 = -9 x = -7
Instructions
Answer the question corresponding to each 
grid reference. Calculate the answer to 
each question by solving the equation for 
x. Choose the correct range in the key to 
decide what colour each square should be.
1E 7(x + 5) = 2(2x + 25) x = 5
2E 3(2x − 9) = 4x − 13 x = 7
3E 5x4 + 2 = 
29
2 x = 10
4E x + 3 = 2x − 24 x = 27
5E 3(x + 2)2 = 33 x = 20
6E 3(3x + 2)4 = 
x + 38
2 x = 10
7E 4x − 3 = 9 − 2x x = 2
8E 4 − x = 15 x = -11
1F 3x + 4 = x − 30 x = -17
2F 8(2x + 1) = 12x − 12 x = -5
3F 9 − 3x = 2 − x x = 3.5
4F 17 − 4x = 8 − 3x x = 9
5F x2 = 9 x = 3 (or -3)
6F 3x2 = 12 x = 2 (or -2)
7F 4x + 11 = x − 10 x = -7
8F 2x2 + 5 = 13 x = 2 (or -2)
https://www.twinkl.co.uk/resources/keystage3-ks3/keystage3-ks3-maths