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Types of Formulas. Rearranging Formulas

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8.2Types of Formulas. Rearranging Formulas

Types of Formulas. Rearranging Formulas Revision Questions

Correct Answer: A

1. .From the formula A(rectangle) = Length (L) × Width (W) and that of the right tringle A(right triangle) = Leg 1 × Leg 2/2, where legs are the sides that form the right angle, find the formula for the area of the right trapezium where B is the longest base, b is the shortest base and h is the height of trapezium (here it corresponds to the shortest lateral side.

Hint! Divide the right trapezium into one rectangle and one right triangle.

Math Tutorials: Types of Formulas. Rearranging Formulas Example
  1. A(Trapezium) = B · b + h/2
  2. A(Trapezium) = B + b · h/2
  3. A(Trapezium) = (B + b) · h/2
  4. A(Trapezium) = B - b) · h/2

Correct Answer: C

2. .What is the simplest form of (a - b)2 - (a - b)(a + b)?

  1. 2b(b - a)
  2. 2b(b + a)
  3. a(2a + b)
  4. a(2a - b)

Correct Answer: D

3. .What is the formula that represents the following expression:

"The sum of two numbers is twice the difference of their squares."

  1. a + b = 2a2 - b2
  2. a - b = 2(a2 + b2)
  3. a + b = 2(a2 + b2)
  4. a + b = 2(a2 - b2)

Correct Answer: D

4. .What is the percentage composition of oxygen in water (H2O) if the molar mass of hydrogen is 1u and that of oxygen is 16 u?

  1. 88.9%
  2. 11.1%
  3. 12.5%
  4. 87.5%

Correct Answer: A

5. .Given that power P is equal to work W, divided by time t, and since work in itself is equal to force F multiplied by displacement Δx, express the power in terms of force and velocity v given that displacement is equal to velocity multiplied by time.

  1. P = F/v
  2. P = F · v
  3. P = F2 · v
  4. P = F2/v

Correct Answer: B

6. .What is the formula that relates the set of values A and B in the table below?

Math Tutorials: Types of Formulas. Rearranging Formulas Example
  1. B = 2A + 3
  2. B = A + 5
  3. B = 3A + 1
  4. B = A2 + 3

Correct Answer: D

7. .A customer deposits an initial amount P in a bank that applies 5% annual simple interest. How many years are needed to double this amount?

  1. 2 years
  2. 10 years
  3. 15 years
  4. 20 years

Correct Answer: D

8. .The flow speed v in a pipe is inversely proportional to the cross-sectional area A of the pipe. Which formula is correct for two positions of liquid in the pipe?

  1. A1/v1 = v2/A2
  2. A1/v1 = A2/v2
  3. A1 · v1 = v2/A2
  4. A1 · v1 = A2 · v2

Correct Answer: D

9. .What is the correct form of the formula 3x2 + 5 = z/4y if its subject is y?

  1. y = 3z + 5/x2
  2. y = z/4(3x2 - 5)
  3. y = z/3x2 + 20
  4. y = z/12x2 + 20

Correct Answer: D

10. .The dimensions of a rectangle are 3a and a. What is the area of a square that has the same perimeter with this rectangle when expressed in terms of a?

  1. 2a2
  2. 4a2
  3. 4a
  4. 8a2

Correct Answer: B

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