AFM Midterm Practice Test
1. Solve: 3x(5x7)
Name: ______________________________
10. What is the smallest subset of real
numbers does the following set of
numbers belong to? {1, 2, 3, 4, …}
2. Solve: (4x2)3
11. Do the following points represent a
function? (3, 4), (4, 3), (3, -2), (0, 7)
3. Solve: 5x4(2x3)3
4. Solve: (7x-4)(5x5)2
5. Solve:
12. Is the following a function?
4𝑥 5 𝑦 2
16𝑥 2 𝑦 6
6. Simplify: (x – 4)(x – 3)
13. Put the following into set-builder
notation: {, -2, -1, 1, 2, …}
7. Simplify: (3x + 4)(7x – 5)
14. Put the following into set-builder
notation: x < -4 or x ≥ 3.
8. Simplify: (2x + 8)2
15. Write the domain in Set-Builder for
the following:
9. Simplify: (x + 4)2 – (2x2 – 3)
5𝑥−2
2𝑥 2 − 6𝑥
16. Express the following set in SetBuilder notation: {-10, -5, 0, 5, …}
22. State the range using interval
notation for the following function:
1
f(x) = 4x6
17. Write the domain in Interval
Notation for the following:
-5 ≤ x < 9
23. Analyze the end behavior of the
function: f(x) = -2x4
18. Express the domain in interval
3𝑥−2
notation: 𝑥 2 + 4𝑥
19. If f(x) = │x│ and is transposed 5
units left and 2 units down, what is
the new function g(x)?
20. If f(x) = √𝑥 − 3 is reflected across
the x-axis, what’s the new function
g(x)?
24. State the domain using interval
notation for the following function:
f(x) = 2x-2
25. State the continuity for the function:
f(x) = √3𝑥 − 2
For questions 26 through 28 use the
following graph
21. State the domain using interval
notation for the following function:
f(x) = 2x5
26. State the domain of the function.
27. State the range of the function.
34. Find all the real zeros for the
function f(x) = 3x4 – 21x3 + 36x2
28. State the continuity of the function.
29. Use interval notation to state where
the following function is decreasing?
f(x) = 3x2 ?
35. Find all the real zeros for the
function f(x) = x3 – 4x2 – x + 4
30. Which term is the Leading Term in
the following function:
f(x) = 4x4 + 6x7 – 2x3
31. Using the leading term, how many
possible real zeros does the function
f(x) = 2x4 – 5x3 + 9x2 have?
32. Using the leading term, how many
possible turning points does the
function f(x) = 13x5 + 7x4 – 5x6
33. Use the leading term to determine
the end behavior for the function
f(x) = 3x2 + 5x4 + 9x3 + 7
36. David is investing $1500 in an
account that pays 5% interest
compounded monthly. How much
will be in the account after 7 years?
37. Tariq put $4200 into an account that
pays him 5.3% interest compounded
weekly when he was 25. How much
will he have in his account when
he’s 50?
38. If someone put $20,000 into an
account that pays 7.1%
compounded quarterly in 1985, how
much would be in the account in
2012?
44. Expand: ln (3x4y2)
45. Condense: 2 log x + 2 log y
39. Juan invested $1500 in a bond that
pays 5.7% interest that is
continuously compounded. If he’s
had the bond for exactly 20 years,
how much is it worth now?
46. Condense: 5 log x – 10 log y
1
47. Condense: 2 log 6 (𝑥 + 2) −
4 log 6 (𝑥 − 3)
40. Put 3x = 17 in log form.
log5 6𝑥
41. Evaluate: 5
48. Express in terms of log 2 and log 3:
log 108
49. Solve: log 7 3𝑥 = log 7 21
1
42. Evaluate: log 4 64
50. Solve: 8x + 2 = 32x - 4
43. Expand: log (24 * 7)