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Writing Formulas and Substituting in a Formula

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Formulas Learning Material
Tutorial IDTitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
8.1Writing Formulas and Substituting in a Formula

Writing Formulas and Substituting in a Formula Revision Questions

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Correct Answer: A

1. .A certain product costs $37 per item plus $2 shipping cost. What is the formula that gives the total cost C for ordering N items from this product?

  1. C = 37 (2 + N)
  2. C = 37N + 2
  3. C = N(37 + 2)
  4. C = 37 + 2N

Correct Answer: C

2. .What is the variable y in the formula

y = a - b/1 - c/

if a = 8, b = 5 and c = 4?

  1. -1
  2. 1
  3. 2
  4. 1/7/

Correct Answer: A

3. .What is the formula applied in the spreadsheet shown below?

Math Tutorials: Writing Formulas and Substituting in a Formula Example
  1. y = x + 8
  2. y = 2(x + 3)
  3. y = 2x + 3
  4. y = 3x - 2

Correct Answer: C

4. .A car is moving at v0 = 20m/s when the driver sees an obstacle in front of him. It takes him t = 1.2 s to press the brakes. The car eventually starts decelerating uniformly at a = -5 m/s2. How far from the initial position will the car stop? Use the formulas d = v0t for uniform motion and v2 - v02 = 2ad for the uniformly decelerated one.

  1. 24 m
  2. 40 m
  3. 64 m
  4. 84 m

Correct Answer: C

5. .What is the inverse formula of

y = 4 - 2x
  1. y = 2 - 4x
  2. x = 2 - 4y
  3. x = 4 - 2y
  4. x = 2 - y/2

Correct Answer: D

6. .What is the maximum value of y in the formula

y = 9 - x2
  1. -3
  2. 0
  3. 9
  4. 27

Correct Answer: C

7. .The number N of bacteria per square millimetre in a sample decreases when using a new antibiotic according the formula

N(t) = N0 ∙ 2-0.6t

where N0 is the initial number of bacteria in the sample and t is the time in hours.

Calculate the number of bacteria per square millimetre left in the sample 5 hours after starting the cure if the original number of bacteria was 6,432.

  1. 6,424
  2. 804
  3. 604
  4. 101

Correct Answer: B

8. .What is the value of z in the formula

y = 3x2 -z/2+5/

if x = 2 and y = 10.

  1. 5
  2. 7
  3. 10
  4. 14

Correct Answer: D

9. .What is the value of x in the formula

y = 5 - x3

if y = -3?

  1. -22
  2. 2
  3. 32
  4. -2

Correct Answer: B

10. .The products A, B and C in a market had a discount of 10%, 20% and 30% respectively. What is the formula that gives the new cost Y when purchasing one item from each product?

  1. Y = 90A + 80B + 75C
  2. Y = (0.1 + 0.2 + 0.25)(A + B + C)
  3. Y = 0.1A + 0.2B + 0.25C
  4. Y = 0.9A + 0.8B + 0.75C

Correct Answer: D

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