Fall 2026 · Prof. Young & Prof. Volk

Math 130 — Test 2 Review

Exponentials, logarithms, and geometry in the Fall 2026 instructional sequence. Canvas supplies the master dates; quizzes and Test 2 are paper assessments in class.

📝 Paper Assessments 💻 ALEKS through Canvas 📅 Canvas Dates Are Master
Start here · Unit 2 pathway

Learn → targeted practice → checkpoint

Move from exponentials to logarithms, then polygons and circles. Complete the matching practice before each checkpoint; use Unit 2E only after the four learning windows.

Canvas dates confirmed Coverage status: planned
Step 1 · Unit 2A · Quiz 5 Sep 30

Exponential functions and interest

Learn §4.2, practice tables, graphs, growth/decay, and interest models, then take the five-question checkpoint.

Learn with 2A
Step 2 · Unit 2B · Quiz 6 Oct 7

Logarithmic functions

Learn §4.3 after exponentials. Emphasize inverse relationships, conversion, evaluation, graph interpretation, and solving.

Learn with 2B
Step 3 · Unit 2C · Quiz 7 Oct 14

Geometry foundations and polygons

Use the two-session HTML deck for angles, parallel lines, triangles, polygon area, and similarity before the eight-question checkpoint.

Learn with 2C
Step 4 · Unit 2D · Quiz 8 Oct 21

Circles, radians, speed, and solids

Use the two-session HTML deck, then practice circle theorems, arc/sector measures, angular and linear speed, surface area, and volume.

Learn with 2D
Step 5 · Unit 2E · Test 2 Oct 30

Cumulative Test 2 readiness

Mix Units 2A–2D. Correct every miss, then repeat the weakest category before taking another cumulative checkpoint.

Review with 2E

Readiness rule: Aim for at least 80% on the matching checkpoint and be able to explain each corrected error before moving forward.

Deck library and downloadable files

Essential Formulas for Test 2

Section 4.2: Exponentials & Interest

Focus: recognize the two provided interest formulas and when each model is used.
Provided on Test 2
Compound Interest
$$A = P\left(1+\frac{r}{n}\right)^{nt}$$
Printed on the exam.
$n$ = compounds per year (1 annually, 12 monthly, 365 daily)
Provided on Test 2
Continuous Compounding
$$A = Pe^{rt}$$
Printed on the exam.
$e \approx 2.71828$
Useful
Simple Interest
$$A = P(1 + rt)$$
Useful for comparison problems.
$P$ = principal, $r$ = annual rate (decimal), $t$ = years

Section 4.3: Logarithms

Focus: memorize log-to-exponential conversion, inverse log equations, and change of base. The log property rules are support only.
Memorize
Log ↔ Exponential Form
$$\log_b(x) = y \iff b^y = x$$
Needed for converting between log and exponential forms.
$\log(x)=\log_{10}(x)$ and $\ln(x)=\log_e(x)$
Memorize
Inverse Log Equations
$$\ln(x)=c \iff x=e^c$$ $$\log(x)=c \iff x=10^c$$
Directly useful when solving basic logarithmic equations on the test
Memorize
Change of Base
$$\log_b(a)=\frac{\ln(a)}{\ln(b)}$$ $$\log_b(a)=\frac{\log(a)}{\log(b)}$$
Use to evaluate logs with any base on a calculator
Useful
Product Rule
$$\log_b(MN) = \log_b(M) + \log_b(N)$$
Helpful for Section 4.3, but not directly needed on this test
Useful
Quotient Rule
$$\log_b\!\left(\frac{M}{N}\right) = \log_b(M) - \log_b(N)$$
Helpful for Section 4.3, but not directly needed on this test
Useful
Power Rule
$$\log_b(M^k) = k\log_b(M)$$
Helpful for Section 4.3, but not directly needed on this test

Geometry: Polygons & Area

Focus: triangle area, trapezoid area, proportional segments, and Heron's formula as a provided reference.
Memorize
Triangle Area
$$A = \frac{1}{2}bh$$
Used when a base and perpendicular height are given
Memorize
Trapezoid Area
$$A = \frac{1}{2}h(b_1 + b_2)$$
$b_1$ and $b_2$ are the parallel sides
Provided on Test 2
Heron's Formula
$$A = \sqrt{s(s-a)(s-b)(s-c)}$$ $$s = \frac{a+b+c}{2}$$
Printed on the exam for the three-side triangle problem
Memorize
Parallel Lines / Segment Proportions
$$\frac{AC}{CE} = \frac{BD}{DE}$$
When parallel lines cut transversals, corresponding segments are proportional. Match top-to-top and bottom-to-bottom segments.
Useful
Parallelogram Area
$$A = bh$$
Part of the topic set, but not directly used on this test

Geometry: Angle, Arc, and Circle Relationships

Focus: DMS conversions, radian-degree conversion, arc and sector formulas, circle angle theorems, and linear speed.
Memorize
DMS to Decimal Degrees
$$\text{decimal degrees} = D + \frac{M}{60} + \frac{S}{3600}$$
$D$ = degrees, $M$ = minutes, $S$ = seconds
Memorize
Decimal Degrees to DMS
Step 1$$M=(\text{decimal part})\cdot 60$$
Step 2$$S=(\text{new decimal part})\cdot 60$$
Keep the whole-number degrees. Multiply the decimal part by 60, then repeat once more for seconds.
Memorize
Degree ↔ Radian Conversion
$$\text{radians} = \text{degrees}\cdot\frac{\pi}{180}$$ $$\text{degrees} = \text{radians}\cdot\frac{180}{\pi}$$
Use both directions. Also remember $180^\circ = \pi$ radians.
Memorize
Arc Length
$$s = r\theta$$ $$s = \frac{\theta}{360}(2\pi r)$$
Use $s=r\theta$ when $\theta$ is in radians, or use the degree form directly
Memorize
Sector Area
$$A = \frac{1}{2}r^2\theta$$ $$A = \frac{\theta}{360}\pi r^2$$
Use the radian form when $\theta$ is in radians, or use the degree form directly
Memorize
Central Angle and Arc
$$m(\angle\,\text{central}) = m(\text{intercepted arc})$$
A diameter splits the circle into two semicircles of $180^\circ$ each
Memorize
Inscribed Angle Theorem
$$m(\angle\,\text{inscribed}) = \frac{1}{2}m(\text{intercepted arc})$$
An inscribed angle is half of its intercepted arc
Memorize
Intersecting Chords Angle Theorem
$$m\angle = \frac{1}{2}\big(m(\text{arc }1)+m(\text{arc }2)\big)$$
For angles formed by two chords intersecting inside a circle
Useful
Angular and Linear Speed
$$v = r\omega$$ $$v = (\text{rpm})(2\pi r)$$
Helpful for the propeller problem. Also remember $1\text{ mile}=5280\text{ ft}$ and $60\text{ min}=1\text{ hr}$.
Useful
Circle Area
$$A = \pi r^2$$
Useful background for sector area problems, but not directly required on this test
Useful
Circumference
$$C = 2\pi r$$
Useful background for arc length and linear speed

Practice Generators

🎯 Test 2 Readiness Check

20 questions based on the current Test 2 review blueprint: ~15% Section 4.2, ~15% Section 4.3, and ~70% Geometry. Confirm the official Fall test coverage in Canvas or in class.

📝 Mock Quiz Mode

Canvas master dates are Quiz 5 Sep 30, Quiz 6 Oct 7, Quiz 7 Oct 14, and Quiz 8 Oct 21, all at 2:10 PM. These checkpoints follow Units 2A–2D. Quiz 9 on Oct 28 is a separate Unit 3 bridge; its date is confirmed while its final coverage remains planned until Canvas or class confirms it.

Study Videos

Section 4.2: Exponentials

Graphing & Tables Calculator: Decimal Exponents Simple vs Compound Interest Continuous Compounding

Section 4.3: Logarithms

Log ↔ Exp Conversions Evaluating Log Expressions Logarithm Change of Base Solving Exponential Eqns using Logs

Geometry & Circles

Piecewise Rectangular Areas DMS to Decimal Conversion Radians & Degrees Intro Circle Sectors & Arc Length

Course Schedule

How to read this table: ALEKS items are online assignments. Quiz and test rows show Canvas master dates for paper assessments given in class.
Date Topic / Section Status
Fri, 9/25 Section 4.2 CLASS
Mon, 9/28 Section 4.2 CLASS
Wed, 9/30 Section 4.3; ALEKS Section 4.2 due; Quiz 5 on paper (Canvas master date 2:10 PM) CLASS QUIZ 4.2 DUE
Fri, 10/2 Section 4.3 CLASS
Mon, 10/5 Geometry: Polygons CLASS
Wed, 10/7 Geometry: Polygons; ALEKS Section 4.3 due; Quiz 6 on paper (Canvas master date 2:10 PM) CLASS QUIZ 4.3 DUE
Fri, 10/9 Geometry: Polygons CLASS
Mon, 10/12 Geometry: Polygons CLASS
Wed, 10/14 Geometry: Circles; Quiz 7 on paper (Canvas master date 2:10 PM) CLASS QUIZ
Fri, 10/16 Fall Break NO CLASS
Mon, 10/19 Geometry: Circles CLASS
Wed, 10/21 Geometry: Circles; Quiz 8 on paper (Canvas master date 2:10 PM) CLASS QUIZ
Fri, 10/23 Geometry: Circles CLASS
Mon, 10/26 Geometry: Circles CLASS
Wed, 10/28 Test 2 review; Quiz 9 is the separate Unit 3 bridge on paper (Canvas master date 2:10 PM; bridge coverage planned until confirmed) REVIEW QUIZ 9
Fri, 10/30 ALEKS Geometry due; Test 2 on paper in class (Canvas master date 2:10 PM) EXAM GEOMETRY DUE

ALEKS Modules

Module Opens Due Date Status
Section 4.2 Sep 23 at 2:11 PM Sep 30 at 2:10 PM
Section 4.3 Sep 30 at 2:11 PM Oct 7 at 2:10 PM
Geometry Oct 7 at 2:11 PM Oct 30 at 2:10 PM

Topics Checklist

Your Statistics

0
Questions Solved
0
Perfect First Tries
0%
Overall Accuracy

Practice History

Date / Time Topic Retries Status