Math 102 - Sample Final Exam Study Notes

Math 102 - Sample Final Exam Study Notes

• Exam Format: The exam comprises 40 multiple-choice questions, each worth 2.5 marks. No penalty for incorrect answers.
• Question Types: Questions 1–5 are based on a puppy's weight growth rate. The remaining questions cover various math topics including exponents, inequalities, equations, factoring, logarithms, and functions.
• Puppy Weight Growth (Questions 1-5): A puppy's weight increases at a constant rate. Key data points include 8.2 kg at 10 weeks and 16.2 kg at 20 weeks. The weight function is linear (y = mx + b).

Question 1

• Correct Answer: (A) This is linear, i.e. y=mx+b.
• Justification: A constant rate of change describes a linear relationship.

Question 2

• Correct Answer: (B) m = 4/5
• Calculation Method: The slope (m) of a linear equation is the change in y over the change in x between any two points.

Question 3

• Correct Answer: (F) b = 1/5
• Calculation Method: Calculate the y-intercept,b= y-mx using the values for slope calculated previously, and any of the two given points.

Question 4

• Correct Answer: (C) 41.8 kg
• Calculation Method: Apply the linear equation (y = mx + b) with the determined values. Plug in x=52 to determine the weight in KG

Question 5

• Correct Answer: (C) 37.25 weeks
• Calculation Method: Apply the linear equation (y=mx+b) calculate x when y=30
• Other Topics Covered: Exponents, solving equations, factoring, logarithms, domain, intercepts(x,y) and function analysis are also covered on the exam.

Prepare for the Math 102 final exam with this set of sample study notes. The exam covers various topics from exponents to functions, with a specific focus on a linear weight growth problem involving a puppy. Brush up on key mathematical concepts and calculation methods to excel.