FULL AP PRECALCULUS UNIT 2 MOCK FINAL (32 MCQs + 2 FRQs)

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FULL AP PRECALCULUS UNIT 2 MOCK FINAL (32 MCQs + 2 FRQs)

  • December 13, 2025
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Unit 2: Exponential and Logarithmic Functions

2.1 Change in Arithmetic and Geometric Sequences

2.2 Change in Linear and Exponential Functions

2.3 Exponential Functions

2.4 Exponential Function Manipulation

2.5 Exponential Function Context and Data Modeling

2.6 Competing Function Model Validation

2..7 Composition of Functions

2.8 Inverse Functions

2.9 Logarithmic Expressions

2.10 Inverses of Exponential Functions

2.11 Logarithmic Functions

2.12 Logarithmic Function Manipulation

2.13 Exponential and Logarithmic Equations and Inequalities

2.14 Logarithmic Function Context and Data Modeling

2.15 Semi-log Plots

AP Precalculus Unit 2 – Mock Final

AP Precalculus – Unit 2

Exponential & Logarithmic Functions
FULL MOCK FINAL (100 Points)

⏳ Time Remaining: 90:00
1. Sequence 3, 6, 12, 24 is
2. Which shows exponential growth?
3. Which represents exponential decay?
4. Simplify (5²)³
5. Simplify 3x+4 ÷ 3x
6. If f(x)=x−2 and g(x)=x², find (f∘g)(x)
7. Inverse of f(x)=2x is
8. Evaluate log₅(25)
9. Domain of log(x−4) is
10. Simplify log(a) + log(b)
11. Solve log₂(x)=5
12. Solve 3x=9
13. A function has an inverse if it is
14. Which grows faster for large x?
15. f(x)=4·2x doubles when
16. Straight line on semi-log plot means
17. Exponential data has
18. Logarithmic scale is used because it
19. Earthquake magnitude uses
20. Initial value of y = 5(1.2)x is
21. 500(1.08)10 ≈
22. Better long-term model: y=4x+20 or y=20(1.1)x
23. log(1000) =
24. x-intercept of y=log(x−2)
25. 2·log(5) =
26. ln(x)=3 ⇒ x=
27. pH = −log(1×10⁻⁵)
28. Semi-log plot is best for
29. f(x)=log(x), g(x)=10x. f(g(2)) =
30. ex and ln(x) are inverses?
31. Best model using residuals has
32. 15% growth from 200 is

FRQ 1 – No Calculator (18 points)




FRQ 2 – Calculator Allowed (18 points)




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