Algebra 2 Week #1A Section 4

Cliffs of Moher, Ireland

Week #1A Section 3 Homework Answers Classwork: Cryptic Quiz He is decomposing. Buoy meets gull. Bushed Homework: Extra Credit: Collect like terms ⅜a - ⅞b + ⅛a + ⅜b ½a - ½b

Week #1A – Section 4 GOAL: To review more on how to solve a one variable equation. CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate for a = 3 1.a + 5 = ______ 2. a – 2 = ______ a a 2 = _______ 4.2a 2 – 3a + 4 = _______

Week #1A – Section 4 GOAL: To review more on how to solve a one variable equation. CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate for a = 3 1.a + 5 = 8 2. a – 2 = ______ a a 2 = _______ 4.2a 2 – 3a + 4 = _______

Week #1A – Section 4 GOAL: To review more on how to solve a one variable equation. CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate for a = 3 1.a + 5 = 8 2. a – 2 = 1/5 a a 2 = _______ 4.2a 2 – 3a + 4 = _______

Week #1A – Section 4 GOAL: To review more on how to solve a one variable equation. CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate for a = 3 1.a + 5 = 8 2. a – 2 = 1/5 a a 2 = a 2 – 3a + 4 = _______

Week #1A – Section 4 GOAL: To review more on how to solve a one variable equation. CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Evaluate for a = 3 1.a + 5 = 8 2. a – 2 = 1/5 a a 2 = a 2 – 3a + 4 = 13

Week #1A – Section 4 GOAL: To review more on how to solve a one variable equation. CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Solve. 5. 8x – 5 = - 5x x = 3 + 7x

Week #1A – Section 4 GOAL: To review more on how to solve a one variable equation. CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Solve. 5. 8x – 5 = - 5x x – 5 = 21 13x = 26 x = x = 3 + 7x

Week #1A – Section 4 GOAL: To review more on how to solve a one variable equation. CA STANDARD (leading to) 1.0: Students will be able to solve equations and inequalities involving absolute value. WARMUP QUESTIONS Solve. 5. 8x – 5 = - 5x x – 5 = 21 13x = 26 x = x = 3 + 7x x = 3 2x = - 21 x = - 21/2

Week #1A Section #4 Notes Equation Review, Part 2 Vocabulary Least common denominator the SMALLEST number all the denominators will divide into.

Week #1A Section #4 Notes Equation Review, Part 2 The Questions 1. If you are trying to find the least common denominator for two or more numbers, is it the smallest of the numbers? No, it’s usually the largest.

Week #1A Section #4 Notes Equation Review, Part 2 The Questions 1. If you are trying to find the least common denominator for two or more numbers, is it the smallest of the numbers? No, it’s usually the largest. 2. HOW do you find the least common denominator?

Week #1A Section #4 Notes Equation Review, Part 2 The Questions 1. If you are trying to find the least common denominator for two or more numbers, is it the smallest of the numbers? No, it’s usually the largest. 2. HOW do you find the least common denominator? 1. Do all the other numbers divide into the largest? That’s it. 2. Multiply all the numbers. This is a common denominator, but check to see if you can think of one that’s smaller.

Delicious fractions of cake. Not so nice in equations.

Week #1A Section #4 Notes Equation Review, Part 2 The Questions 3.HOW do you use the least common denominator to get rid of fractions in equations? 1. Multiply EVERY term by the LCD. 2. Cross cancel when you can.

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: ¼x + 20 = x - 40

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: ¼x + 20 = x (¼x) + 4(20) = 4(x) – 4(40)

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: ¼x + 20 = x (¼x) + 4(20) = 4(x) – 4(40) x + 80 = 4x – 160

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: ¼x + 20 = x (¼x) + 4(20) = 4(x) – 4(40) x + 80 = 4x – 160

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: ¼x + 20 = x (¼x) + 4(20) = 4(x) – 4(40) x + 80 = 4x – = 3x – 160

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: ¼x + 20 = x (¼x) + 4(20) = 4(x) – 4(40) x + 80 = 4x – = 3x – = 3x

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: ¼x + 20 = x (¼x) + 4(20) = 4(x) – 4(40) x + 80 = 4x – = 3x – = 3x x = 80

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: x = x – 2 2 3

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: x = x – LCD = 6

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: x = x – LCD = 6 6(x + 6) + 6(1) = 6(x) – 6(2) 2 3

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: x = x – LCD = 6 6(x + 6) + 6(1) = 6(x) – 6(2) 2 3 3(x + 6) + 6 = 6x – 2(2)

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: x = x – LCD = 6 6(x + 6) + 6(1) = 6(x) – 6(2) 2 3 3(x + 6) + 6 = 6x – 2(2) 3x = 6x – 4

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: x = x – LCD = 6 6(x + 6) + 6(1) = 6(x) – 6(2) 2 3 3(x + 6) + 6 = 6x – 2(2) 3x = 6x – 4 3x + 24 = 6x – 4

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: x = x – LCD = 6 6(x + 6) + 6(1) = 6(x) – 6(2) 2 3 3(x + 6) + 6 = 6x – 2(2) 3x = 6x – 4 3x + 24 = 6x – 4 24 = 3x – 4

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: x = x – LCD = 6 6(x + 6) + 6(1) = 6(x) – 6(2) 2 3 3(x + 6) + 6 = 6x – 2(2) 3x = 6x – 4 3x + 24 = 6x – 4 24 = 3x – 4 28 = 3x

Week #1A Section #4 Notes Equation Review, Part 2 The Questions EXAMPLE: x = x – LCD = 6 6(x + 6) + 6(1) = 6(x) – 6(2) 2 3 3(x + 6) + 6 = 6x – 2(2) 3x = 6x – 4 3x + 24 = 6x – 4 24 = 3x – 4 28 = 3x x = 28/3

Week #1A Section #4 Notes Equation Review, Part 2 The Questions REAL LIFE: The United States uses the Fahrenheit temperature scale. Most other countries, for example Canada, use the Celsius scale. The formula to convert from one scale to the other is: F = 9 C If you have a friend coming to visit you here, and you want to tell them the high temperature will be 95°F, what will be the Celsius number for that temperature?

Based on water

Week #1A Section #4 Notes Equation Review, Part 2 The Questions REAL LIFE: The United States uses the Fahrenheit temperature scale. Most other countries, for example Canada, use the Celsius scale. The formula to convert from one scale to the other is: F = 9 C If you have a friend coming to visit you here, and you want to tell them the high temperature will be 95°F, what will be the Celsius number for that temperature? 95 = 9C

Week #1A Section #4 Notes Equation Review, Part 2 The Questions REAL LIFE: The United States uses the Fahrenheit temperature scale. Most other countries, for example Canada, use the Celsius scale. The formula to convert from one scale to the other is: F = 9 C If you have a friend coming to visit you here, and you want to tell them the high temperature will be 95°F, what will be the Celsius number for that temperature? 95 = 9C (95) = 5(9C) + 5(32) 5

Week #1A Section #4 Notes Equation Review, Part 2 The Questions REAL LIFE: The United States uses the Fahrenheit temperature scale. Most other countries, for example Canada, use the Celsius scale. The formula to convert from one scale to the other is: F = 9 C If you have a friend coming to visit you here, and you want to tell them the high temperature will be 95°F, what will be the Celsius number for that temperature? 95 = 9C (95) = 5(9C) + 5(32) = 9C + 160

Week #1A Section #4 Notes Equation Review, Part 2 The Questions REAL LIFE: The United States uses the Fahrenheit temperature scale. Most other countries, for example Canada, use the Celsius scale. The formula to convert from one scale to the other is: F = 9 C If you have a friend coming to visit you here, and you want to tell them the high temperature will be 95°F, what will be the Celsius number for that temperature? 95 = 9C (95) = 5(9C) + 5(32) = 9C = 9C

Week #1A Section #4 Notes Equation Review, Part 2 The Questions REAL LIFE: The United States uses the Fahrenheit temperature scale. Most other countries, for example Canada, use the Celsius scale. The formula to convert from one scale to the other is: F = 9 C If you have a friend coming to visit you here, and you want to tell them the high temperature will be 95°F, what will be the Celsius number for that temperature? 95 = 9C (95) = 5(9C) + 5(32) = 9C = 9C C = 35°