Transposition of Formulae Worksheet

Grade 9 math worksheet focusing on the transposition of formulae, including rearranging equations to solve for different variables.

Grade 9 Math AlgebraTransposition of Formulae

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Fill in the Blanks2 Short AnswerMultiple ChoiceMatching

Standards

CCSS.MATH.CONTENT.HSA.CED.A.4

Topics

mathalgebratranspositionformulaegrade 9

7 sections · Free to use · Printable

Transposition of Formulae

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Rearrange the given formulae to make the specified variable the subject. Show all your working steps clearly where indicated.

1. Make 'x' the subject of the formula: y = x + 5. x =

2. Make 'a' the subject of the formula: F = ma. a =

3. Make 'h' the subject of the formula: A = bh. h =

4. Make 'r' the subject of the formula: C = 2πr.

5. Make 'x' the subject of the formula: y = mx + c.

6. If V = IR, which of the following correctly expresses 'I' in terms of V and R?

I = V - R

I = V / R

I = V + R

I = VR

7. Make 't' the subject of the formula: s = ut + (1/2)at².

8. Make 'x' the subject of the formula: A = P(1 + rx).

Match each original formula with its correctly transposed version for the indicated variable.

1. P = 2(l + w) for 'l'

a. h = V / (πr²)

2. V = πr²h for 'h'

b. l = (P/2) - w

3. F = Gm₁m₂/r² for 'G'

c. G = Fr² / (m₁m₂)