Transposition of Formulae Worksheet

Grade 6 math worksheet on transposing simple algebraic formulae to solve for different variables.

Grade 6 Math AlgebraTransposition of Formulae

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2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.B.7CCSS.MATH.CONTENT.6.EE.B.6

Topics

mathalgebraformulaetranspositiongrade 6

7 sections · Free to use · Printable

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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.