#### LIVE 58: Algebra Basics

W 7–8pm from 12/7 (USA Eastern Time)

This LIVE course contains a total of 20 hours of live video instruction (~$20/hour), plus 1 year of access to Prof. Loh's recorded videos from this course.

Diagnostic Tests:

### Calendar

Classes will meet on the highlighted dates. Click on any date to view the topics for that day.

Color Key:

Lesson on new topic

Discuss exam assigned for homework

### Syllabus

The 20 course meetings are split in 16 lessons (called Day 1 through Day 16 below), and 4 homework exam discussions. Each exam discussion meeting happens after 4 lessons.

**Day 1**

Estimation and simplifying of fractions; decimals; number sense techniques

**Day 2**

Complex fractions; mixed numbers; simplifying expressions; solving equations containing fractions; substitution; square roots; word problems; addition and subtraction of fractions; reciprocals

**Day 3**

Equivalent fractions; number line; least common denominator; estimations and operations on mixed numbers

**Day 4**

Applications of proportions; percents and rates; solving equations with variables

**Day 5**

Rates and proportion; applications of rates; word problems

**Day 6**

Similar figures; 3-D solids; geometric sequences

**Day 7**

Applications of percents; decimals; and rates; cost analysis; percent increase and decrease

**Day 8**

Applications of percents; decimals; and rates; cost analysis; percent increase and decrease

**Day 9**

Applications to accounting; word problems; unit cost; cost analysis; percents

**Day 10**

Estimation; applications to cost; average; rates

**Day 11**

Applications of ratios and rates; circumference; prime factors; fractions; decimals

**Day 12**

Complex ratios and proportions; fractions

**Day 13**

Rate-time problems; reciprocals; adding and simplifying fractions; factors

**Day 14**

Applications of rates; rate-time-distance problems

**Day 15**

Rates; harmonic average; applications of rates; word problems

**Day 16**

Rates; acceleration; word problems; arithmetic sum; interpreting graphs

### Co-Stars

**VIVIAN LOH**

Pennsylvania MATHCOUNTS Champion • 2-time MOP qualifier • Member of US team at 2022 EGMO

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**VINCENT TRANG**

2022 MOP Qualifier • USAMO silver medalist, 2022 • AIME qualifier since 6th grade • Loves Rubik's cubes

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