1. REVIEW TEST

2. Foundations of Algebra
Midterm review
Foundations of Algebra

3. Unit 1: The Real Number System
Key Ideas:
Classifying Numbers
Operations on Rational Numbers (Converting decimals, fractions, percents)
Comparing Numbers
Rounding
Estimating Radicals
Simplifying Radicals
Operations on Radicals
Pythagorean Theorem

4. Classifying Numbers Irrational Rational Real Integer Whole Natural
Examples - Classify into as many categories as possible: -6
2.7
3/4
52

5. Fractions, Decimals, and Percents
Convert ¾ to a decimal.
Convert to a percent.

6. Operations with Rational Numbers
Read the problem, then determine the operation you should use (addition, subtraction, multiplication, or division).
Four out of every five students enrolled in Algebra feel prepared for their final. If there are 250 students, how many feel ready for their exam?

7. Compare Rational Numbers
Convert to decimals and then compare
3.7 ____
_____

8. Rounding Look at the place value (tenth, hundredth, thousandth)
Then, look at the next number
If it’s 5 or more, round up
If it’s 4 or less, round down
Round 1/13 to the hundredth place
Round √7 to the thousandths place

9. Simplify Radicals
Write out prime factorization, circle pairs, take one out
Even exponent: take half out
Odd exponent: leave one, take ½ of the rest

10. Operations with Radicals
You can only add or subtract if the radicand is the same. Try to simplify first. Simplify again at the end.
To multiply, multiply Outside by Outside and Inside by Inside. Simplify at the end.

11. Pythagorean Theorem 𝑎 2 + 𝑏 2 = 𝑐 2
Find the missing side, a=5, b=12, c=?
Find the missing side, a=?, b=6, c=10