Solving Equations after Substitution (HSC SSCE Mathematics Standard): Quizzes

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Solving Equations after Substitution
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What is a formula?

A mathematical relationship between variables

What is a variable?

A symbol representing a changing quantity

In the formula A=πr2A = \pi r^2, which variable is the subject?

AA

What does Pythagoras' theorem formula relate?

Three sides of a right-angled triangle

Which formula gives the area of a circle?

A=πr2A = \pi r^2

What does substitution mean when using formulas?

Replacing variables with actual numbers

What is Step 3 in the five-step process?

Solve the equation if necessary

When must you rearrange a formula before substituting?

If the unknown variable isn't the subject

What must you include in your final answer?

Correct units and specified accuracy

Using r=3Vπhr = \sqrt{\frac{3V}{\pi h}} with V=4000V=4000 and h=40h=40, what is rr (2 d.p.)?

9.77 cm

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