You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

1. Choose a number between 0.5 and 0.99. 2. Multiply the number from the previous step by 20. 3. Determine the largest integer less than or equal to the number obtained from the previous step. 4. Subtract 4 from the number obtained from the previous step. 5. Write down the resulting number. Which, if any, of the following changes could be made to the sequence of steps without changing the number written in step 5?
(A)Remove step 2. (B)Remove step 3. (C)Replace step 3 with step 4 and vice versa. (D)Replace step 2 with step 4 and vice versa. (E)None of the above
C

The square of \(b\) is equal to the sum of \(b\) and 12. Which of the following equations could be used to find the value of \(b\) ?
(A)\(b^2 + 12b = 0\) (B)\(b^2 - 12b = 0\) (C)\(b^2 + b + 12 = 0\) (D)\(b^2 - b + 12 = 0\) (E)\(b^2 - b - 12 = 0\)
E

If a linear function passes through the points \((1, a)\), \((2, b)\), and \((4,18)\), what is the value of \(\frac{3}{2}b - a\)?
(A)4 (B)7 (C)9 (D)18 (E)It cannot be determined from the information given.

C