# QRB 501 Final Exam 3

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**QRB 501 Final Exam**

1) Write the following as an algebraic expression using x as the variable: Five more than the product of 7 and a number

2) Write the following as an algebraic expression using x as the variable: The sum of a number and -8

3) Write the following as an algebraic expression using x as the variable: Triple a number subtracted from the number

4) Solve: –9 + 18 ÷ –3(–6)

5) Solve: 3(32) – 8(9 – 2) ÷ 2

6) Solve: -3 – (-2 + 4) - 5

7) Identify the variable, constant, and coefficient of the expression: 10k – 15

8) Identify the variable, constant, and coefficient of the expression: xy

9) Identify the variable, constant, and coefficient of the expression: x – y

10) Solve the system of equations: 3x + 2y = 18, y = 3x

11) Solve the system of equations: 3x – 5y = 7 2x + 3y = 30

12) Solve the system of equations: 4x + 3y = 1 3x + 2y = 2

13) Which of the following is true of an index?

14) Which of the following is a reason for computing an index?

15) Which is true about reporting the Consumer Price Index (CPI)?

16) The monthly incomes for a group of engineers are: $2,200, $2,400, $2,600, $3,100, $3,400, and $3,700. What are these ungrouped numbers called?

17) Why are unequal class intervals sometimes used in a frequency distribution?

18) On which axis is time plotted on a simple line chart?

19) What is the slope of the line: 5y – x = 10

20) What is the slope of the line: 2y + 8x = 26

21) What is the slope of the line: 36x – 9y = 15

22) Which statement is true of the y-intercept in the linear regression model?

23) Which statement is true regarding the estimated slope of a linear regression line?

24) Which statement is true of a regression line that is superimposed on the scatter plot?

25) When the interest rate is positive, what happens to the value of money as we move from the future to the present?

26) How much money would we need to pay off a $2,000 loan at 8% interest, 4 years from now?

27) What happens to the future value of money when the inflation rate exceeds the interest rate?

28) What does the horizontal axis of a line chart represent?

29) How is a frequency distribution converted to a relative frequency distribution?

30) What is class frequency?

31) What is the relationship among the mean, median, and mode in a symmetric distribution?

32) What is a disadvantage of using range as a measure of dispersion? .

33) For which measure of central tendency will the sum of the deviations always be zero?

34) Which of the following is true in a normal distribution?

35) Which of the following is true regarding the normal distribution?

36) What percentage of observations of a normal distribution is represented by the mean plus or minus 1.96 standard deviations?

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