# Which Formula Fits?

In this worksheet, students find the formula that matches the data in the given table. Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Standard Mathematical Formulae

Difficulty level:   ### QUESTION 1 of 10

In this worksheet, you must find the formula which matches the results in the given table.

You can easily do this by testing each formula.

Example

Find the formula which matches the results in this table.

a b
2 5
3 7
4 9
10 21

Which formula will match the results?

1.  b = 2a

2.  b = 3a - 1

3.  b = 2a + 1

We test out each formula in turn.

b= 2a doesn't work for any of the rows

b= 3a - 1 works for when a = 2 and b = 5 , but not for the other rows

b = 2a + 1 works for all the rows, as you have to double the a number and add 1 to get the b number.

The answer is b = 2a + 1

Find the formula which matches the results in this table.

a b
2 6
3 9
4 12
10 30
b = 2a

b = 2a + 2

b = 3a

Find the formula which matches the results in this table.

a b
2 1
3 2
4 3
10 9
b = a ÷ 2

b = a - 1

b = 3 - a

Find the formula which matches the results in this table.

a b
2 1
3 0
4 -1
10 -7
b = a ÷ 2

b = a - 1

b = 3 - a

Find the formula which matches the results in this table.

a b
2 1
3
4 2
10 5
b = a ÷ 2

b = a - 1

b = 3 - a

Find the formula which matches the results in this table.

a b
2 6
3 8
4 10
10 22
b = 2a

b = 2a + 2

b = 3a

Find the formula which matches the results in this table.

a b
2 5
3 9
4 13
10 37
b = 4a - 3

b = 2a + 2

b = 3a

Find the formula which matches the results in this table.

a b
2 7
3 10
4 13
10 31
b = 4a - 3

b = 3a + 1

b = 3a

Find the formula which matches the results in this table.

a b
2 1
3 4
4 7
10 25
b = 4a - 3

b = 3a + 1

b = 3a - 5

Find the formula which matches the results in this table.

a b
2 5
3 4
4 3
10 -3
b = 4a - 3

b = 7 - a

b = 3a - 5

Find the formula which matches the results in this table.

a b
2 12
3 17
4 22
10 52
b = 5a +2

b = 6a

b = 7a - 2

• Question 1

Find the formula which matches the results in this table.

a b
2 6
3 9
4 12
10 30
b = 3a
• Question 2

Find the formula which matches the results in this table.

a b
2 1
3 2
4 3
10 9
b = a - 1
• Question 3

Find the formula which matches the results in this table.

a b
2 1
3 0
4 -1
10 -7
b = 3 - a
• Question 4

Find the formula which matches the results in this table.

a b
2 1
3
4 2
10 5
b = a ÷ 2
• Question 5

Find the formula which matches the results in this table.

a b
2 6
3 8
4 10
10 22
b = 2a + 2
• Question 6

Find the formula which matches the results in this table.

a b
2 5
3 9
4 13
10 37
b = 4a - 3
• Question 7

Find the formula which matches the results in this table.

a b
2 7
3 10
4 13
10 31
b = 3a + 1
• Question 8

Find the formula which matches the results in this table.

a b
2 1
3 4
4 7
10 25
b = 3a - 5
• Question 9

Find the formula which matches the results in this table.

a b
2 5
3 4
4 3
10 -3
b = 7 - a
• Question 10

Find the formula which matches the results in this table.

a b
2 12
3 17
4 22
10 52
b = 5a +2
---- OR ----

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