Transposition of Formulae Worksheet
Grade 6 math worksheet on transposing simple algebraic formulae to solve for different variables.
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Transposition of Formulae
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Read each question carefully and transpose the given formula to make the specified variable the subject. Show your work.
1. The formula for the area of a rectangle is A = lw, where A is the area, l is the length, and w is the width. Make 'w' the subject of the formula.
2. The formula for simple interest is I = Prt, where I is the interest, P is the principal, r is the rate, and t is the time. Make 'r' the subject of the formula.
3. If P = 2l + 2w, then to make 'l' the subject, the first step is to subtract 2w from both sides, which gives P - 2w = 2l. Then, divide both sides by 2, so l = .
4. Given the formula C = 2πr (circumference of a circle). To make 'r' the subject, you would divide both sides by . So, r = .
5. Which of the following correctly makes 'b' the subject of the formula a = b + c?
b = a + c
b = a - c
b = c - a
b = ac
6. Given the formula D = M/V (Density = Mass/Volume). To make 'M' the subject, what operation should be performed?
Divide V by D
Subtract V from D
Multiply D by V
Add V to D
7. If y = x + 5, then making 'x' the subject results in x = y - 5.
True
False
8. To make 'h' the subject in the formula A = bh (Area of a parallelogram), you should multiply A by b.
True
False
9. The formula for converting Celsius to Fahrenheit is F = (9/5)C + 32. Make 'C' the subject of the formula.
10. If the perimeter of an equilateral triangle is P = 3s, where 's' is the length of one side. Make 's' the subject of the formula and then find 's' if P = 45 cm.
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