Transcript 2 - MathChow

Algebra 2
Week #1A
Section 4
Cliffs of Moher, Ireland
Week #1A Section 3
Homework Answers
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Classwork: Cryptic Quiz
He is decomposing.
Buoy meets gull.
Bushed
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Homework:
1. - 5
3. - 1
5. 4
7. - 4
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4.
6.
8.
-2
1
0
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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.
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Evaluate for a = 3
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a + 5 = ______
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2.
a – 2 = ______
a+2
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3.
5 + a2 = _______
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4.
2a2 – 3a + 4 = _______
WARMUP QUESTIONS
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.
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Evaluate for a = 3
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1.
a+5=8
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2.
a – 2 = ______
a+2
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3.
5 + a2 = _______
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4.
2a2 – 3a + 4 = _______
WARMUP QUESTIONS
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.
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Evaluate for a = 3
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1.
a+5=8
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2.
a – 2 = 1/5
a+2
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3.
5 + a2 = _______
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4.
2a2 – 3a + 4 = _______
WARMUP QUESTIONS
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.
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Evaluate for a = 3
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1.
a+5=8
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2.
a – 2 = 1/5
a+2
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3.
5 + a2 = 14
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4.
2a2 – 3a + 4 = _______
WARMUP QUESTIONS
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.
•
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Evaluate for a = 3
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1.
a+5=8
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2.
a – 2 = 1/5
a+2
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3.
5 + a2 = 14
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4.
2a2 – 3a + 4 = 13
WARMUP QUESTIONS
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.
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Solve.
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5. 8x – 5 = - 5x + 21
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6. 24 + 9x = 3 + 7x
WARMUP QUESTIONS
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.
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Solve.
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5. 8x – 5 = - 5x + 21
13x – 5 = 21
13x = 26
x=2
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6. 24 + 9x = 3 + 7x
WARMUP QUESTIONS
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.
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Solve.
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5. 8x – 5 = - 5x + 21
13x – 5 = 21
13x = 26
x=2
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6. 24 + 9x = 3 + 7x
24 + 2x = 3
2x = - 21
x = - 21/2
WARMUP QUESTIONS
Week #1A Section #4 Notes
Equation Review, Part 2
Vocabulary
Least common denominator
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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?
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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?
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No, it’s usually the largest.
2. HOW do you find the least common denominator?
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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?
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No, it’s usually the largest.
2. HOW do you find the least common denominator?
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1. Do all the other numbers divide into the largest? That’s it.
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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
The Questions
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EXAMPLE:
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¼x + 20 = x - 40
Equation Review, Part 2
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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¼x + 20 = x - 40
4(¼x) + 4(20) = 4(x) – 4(40)
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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¼x + 20 = x - 40
4(¼x) + 4(20) = 4(x) – 4(40)
x + 80 = 4x – 160
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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¼x + 20 = x - 40
4(¼x) + 4(20) = 4(x) – 4(40)
x + 80 = 4x – 160
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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¼x + 20 = x - 40
4(¼x) + 4(20) = 4(x) – 4(40)
x + 80 = 4x – 160
80 = 3x – 160
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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¼x + 20 = x - 40
4(¼x) + 4(20) = 4(x) – 4(40)
x + 80 = 4x – 160
80 = 3x – 160
240 = 3x
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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¼x + 20 = x - 40
4(¼x) + 4(20) = 4(x) – 4(40)
x + 80 = 4x – 160
80 = 3x – 160
240 = 3x
x = 80
Week #1A Section #4 Notes
The Questions
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EXAMPLE:
x+6+1=x–2
2
3
Equation Review, Part 2
Week #1A Section #4 Notes
The Questions
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EXAMPLE:
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x+6+1=x–2
2
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LCD = 6
Equation Review, Part 2
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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x+6+1=x–2
2
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LCD = 6
6(x + 6) + 6(1) = 6(x) – 6(2)
2
3
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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x+6+1=x–2
2
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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
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EXAMPLE:
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x+6+1=x–2
2
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LCD = 6
6(x + 6) + 6(1) = 6(x) – 6(2)
2
3
3(x + 6) + 6 = 6x – 2(2)
3x + 18 + 6 = 6x – 4
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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x+6+1=x–2
2
3
LCD = 6
6(x + 6) + 6(1) = 6(x) – 6(2)
2
3
3(x + 6) + 6 = 6x – 2(2)
3x + 18 + 6 = 6x – 4
3x + 24 = 6x – 4
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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x+6+1=x–2
2
3
LCD = 6
6(x + 6) + 6(1) = 6(x) – 6(2)
2
3
3(x + 6) + 6 = 6x – 2(2)
3x + 18 + 6 = 6x – 4
3x + 24 = 6x – 4
24 = 3x – 4
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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x+6+1=x–2
2
3
LCD = 6
6(x + 6) + 6(1) = 6(x) – 6(2)
2
3
3(x + 6) + 6 = 6x – 2(2)
3x + 18 + 6 = 6x – 4
3x + 24 = 6x – 4
24 = 3x – 4
28 = 3x
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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EXAMPLE:
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x+6+1=x–2
2
3
LCD = 6
6(x + 6) + 6(1) = 6(x) – 6(2)
2
3
3(x + 6) + 6 = 6x – 2(2)
3x + 18 + 6 = 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
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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 + 32
5
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
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REAL LIFE:
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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:
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F = 9 C + 32
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5
• 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?
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95 = 9C + 32
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5
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Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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REAL LIFE:
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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:
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F = 9 C + 32
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5
• 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?
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95 = 9C + 32
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5
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5(95) = 5(9C) + 5(32)
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Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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REAL LIFE:
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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:
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F = 9 C + 32
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5
• 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?
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95 = 9C + 32
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5
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5(95) = 5(9C) + 5(32)
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475 = 9C + 160
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Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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REAL LIFE:
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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:
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F = 9 C + 32
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5
• 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?
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95 = 9C + 32
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5
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5(95) = 5(9C) + 5(32)
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5
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475 = 9C + 160
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315 = 9C
Week #1A Section #4 Notes
Equation Review, Part 2
The Questions
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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 + 32
•
5
• 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?
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95 = 9C + 32
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5
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5(95) = 5(9C) + 5(32)
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5
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475 = 9C + 160
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315 = 9C
C = 35°