Final Review Day 4 Algebra 1

Adding/Subtracting Radical Expressions Step 1: Simplify all radicals using the factor tree method Step 2: Combine like terms (same number under the radical) Keep in mind that radicals act as a variables. Thus, when adding/subtracting, do not mess with the radicand.

Multiplying Radicals Example: Multiply ( 5 − 13 )( 2 − 8 ) Step 1: Distribute or Box Method Step 2: When multiplying radicals, multiply the number inside the radical and outside of the radical separately. Step 3: Combine like terms Step 4: Simplify completely using the factor tree method

Solve Radical Equations Level 1 Example: Solve 9𝑥−5 +2=4 Step 1: Isolate the Radical Step 2: Square both sides Step 3: Solve for 𝑥 Step 4: Check your answer

Rational Functions Given: 𝑦= 𝑎 𝑥−ℎ +𝑘 VA: 𝑥=ℎ (opposite) HA: 𝑦=𝑘 (as you see it) Domain: 𝑥≠ℎ Range: 𝑦≠𝑘

Solve Rational Equations Example: 4 𝑥 2 −4 + 1 𝑥+2 = 9 𝑥−2 Step 1: Find the LCD (one of each color) Step 2: Multiply the LCD to each term Step 3: Cancel the denominators Step 4: Simplify the leftovers Step 5: Solve for 𝑥 Step 6: Check answers to make sure there are no extraneous solutions

Quiz Scores You can work in a group of maximum 4. Option 1: No Notes 2 points extra credit 2 yes or no questions 1 hint Option 2: Notes Allowed 1 yes or no question