algebra 2 week #1a review. it’s friday! week #1a – section 4 classwork – –he is decomposing...
TRANSCRIPT
![Page 1: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/1.jpg)
Algebra 2
Week #1A Review
![Page 2: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/2.jpg)
It’s Friday!
![Page 3: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/3.jpg)
Week #1A – Section 4
• Classwork – – He is decomposing– Buoy meets gull– Bushed
Homework1. x = 5 2. x = - 23. x = - 1 4. x = 15. x = 4 6. x = 07. x = - 4 8. x = 7
Extra credit⅜a - ⅞b + ⅛a + ⅜b = ⅜a + ⅛a - ⅞b + ⅜b
= ½a - ½b
![Page 4: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/4.jpg)
STANDARD STUDIED THIS WEEK:
• (leading to) CA STANDARD: 1 – To be able to solve equations and inequalities involving absolute value.
![Page 5: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/5.jpg)
Vocabulary to Know
• coefficient: the number in front of a variable (like the 2 in 2x)• combining like terms: adding terms with the same variable and
exponent• distributive property: a(b + c) = ab + ac• equation: an algebraic expression with a = in it• integers: whole numbers (positive, negative, and zero)• like terms: terms with same variable and exponent• PEMDAS: order of operations• true/false statements: an equation that is true/not true
![Page 6: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/6.jpg)
How to:A. Do arithmetic with integers (or positive and negative numbers)
1. Multiplication or division
Same signs? Answer is positive.
Different signs? Answer is negative.
2. Addition or subtraction
Same signs? ADD and keep the sign.
Different signs? SUBTRACT and keep the sign of thelarger number.
![Page 7: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/7.jpg)
How to:A. Do arithmetic with integers (or positive and negative numbers)
EXAMPLES:
- 20 ÷ - 4 =
![Page 8: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/8.jpg)
How to:A. Do arithmetic with integers (or positive and negative numbers)
EXAMPLES:
- 20 ÷ - 4 = 5
- 20 – 4 = - 24
![Page 9: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/9.jpg)
How to:B. Use the order of operations (PEMDAS).
1. parentheses
2. exponents
3. multiplication/division
4. addition/subtraction
EXAMPLE: 5 – 3(2 + 1)2 + 16 =
![Page 10: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/10.jpg)
How to:B. Use the order of operations (PEMDAS).
1. parentheses
2. exponents
3. multiplication/division
4. addition/subtraction
EXAMPLE: 5 – 3(2 + 1)2 + 16 = 5 – 3(3)2 + 16
![Page 11: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/11.jpg)
How to:B. Use the order of operations (PEMDAS).
1. parentheses
2. exponents
3. multiplication/division
4. addition/subtraction
EXAMPLE: 5 – 3(2 + 1)2 + 16 = 5 – 3(3)2 + 16 = 5 – 3(9) + 16
![Page 12: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/12.jpg)
How to:B. Use the order of operations (PEMDAS).
1. parentheses
2. exponents
3. multiplication/division
4. addition/subtraction
EXAMPLE: 5 – 3(2 + 1)2 + 16 = 5 – 3(3)2 + 16 = 5 – 3(9) + 16 = 5 – 27 + 16
![Page 13: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/13.jpg)
How to:B. Use the order of operations (PEMDAS).
1. parentheses
2. exponents
3. multiplication/division
4. addition/subtraction
EXAMPLE: 5 – 3(2 + 1)2 + 16 = 5 – 3(3)2 + 16 = 5 – 3(9) + 16 = 5 – 27 + 16 = 21 – 27
![Page 14: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/14.jpg)
How to:B. Use the order of operations (PEMDAS).
1. parentheses
2. exponents
3. multiplication/division
4. addition/subtraction
EXAMPLE: 5 – 3(2 + 1)2 + 16 = 5 – 3(3)2 + 16 = 5 – 3(9) + 16 = 5 – 27 + 16 = 21 – 27 = - 6
![Page 15: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/15.jpg)
How to:C. Solve one variable equations.
1. Variable on each side of the =? Move smaller variable to the same
side of the = (don’t forget to change the sign) and add it to the
variable that’s already there.
2. Number on the same side of the = as the variable? Move it to the
other side of the = (don’t forget to change the sign) and add it with any number that’s already there.
3. Divide both sides if the variable has a coefficient.
![Page 16: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/16.jpg)
How to:C. Solve one variable equations.
EXAMPLES
2x – 5 = 10
![Page 17: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/17.jpg)
How to:C. Solve one variable equations.
EXAMPLES
2x – 5 = 10
2x = 15
![Page 18: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/18.jpg)
How to:C. Solve one variable equations.
EXAMPLES
2x – 5 = 10
2x = 15
x = 15/2
![Page 19: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/19.jpg)
How to:C. Solve one variable equations.
EXAMPLES
- 6x – 4 = 3x - 67
![Page 20: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/20.jpg)
How to:C. Solve one variable equations.
EXAMPLES
6x – 4 = 3x – 67
3x – 4 = - 67
![Page 21: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/21.jpg)
How to:C. Solve one variable equations.
EXAMPLES
6x – 4 = 3x – 67
3x – 4 = - 67
3x = - 63
![Page 22: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/22.jpg)
How to:C. Solve one variable equations.
EXAMPLES
6x – 4 = 3x – 67
3x – 4 = - 67
3x = - 63
x = - 21
![Page 23: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/23.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
1. If you see ( )s, multiply.
2.Combine any like terms on each side of the = sign. (Do NOT use opposite operations.)
3.Get rid of fractions. Multiply the whole equation by the number in the denominator. OR use the least common denominator.
![Page 24: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/24.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
- 6x – 4 + 2x = 24 + 3(x – 21)
![Page 25: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/25.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
- 6x – 4 + 2x = 24 + 3(x – 21)
- 6x – 4 + 2x = 24 + 3x - 63
![Page 26: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/26.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
- 6x – 4 + 2x = 24 + 3(x – 21)
- 6x – 4 + 2x = 24 + 3x – 63
- 4x – 4 = - 39 + 3x
![Page 27: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/27.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
- 6x – 4 + 2x = 24 + 3(x – 21)
- 6x – 4 + 2x = 24 + 3x – 63
- 4x – 4 = - 39 + 3x
- 4 = - 39 + 7x
![Page 28: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/28.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
- 6x – 4 + 2x = 24 + 3(x – 21)
- 6x – 4 + 2x = 24 + 3x – 63
- 4x – 4 = - 39 + 3x
- 4 = - 39 + 7x
35 = 7x
![Page 29: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/29.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
- 6x – 4 + 2x = 24 + 3(x – 21)
- 6x – 4 + 2x = 24 + 3x – 63
- 4x – 4 = - 39 + 3x
- 4 = - 39 + 7x
35 = 7x
x = 5
![Page 30: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/30.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
4x + 3 = ¾x
![Page 31: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/31.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
4x + 3 = ¾x
4(4x) + 4(3) = 4(¾x)
![Page 32: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/32.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
4x + 3 = ¾x
4(4x) + 4(3) = 4(¾x)
16x + 12 = 3x
![Page 33: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/33.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
4x + 3 = ¾x
4(4x) + 4(3) = 4(¾x)
16x + 12 = 3x
13x + 12 = 0
![Page 34: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/34.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
4x + 3 = ¾x
4(4x) + 4(3) = 4(¾x)
16x + 12 = 3x
13x + 12 = 0
13x = - 12
![Page 35: Algebra 2 Week #1A Review. It’s Friday! Week #1A – Section 4 Classwork – –He is decomposing –Buoy meets gull –Bushed Homework 1. x = 5 2. x = - 2 3](https://reader035.vdocument.in/reader035/viewer/2022062407/56649e6a5503460f94b687e0/html5/thumbnails/35.jpg)
How to:D. Get an equation ready to be solved (should be done FIRST).
EXAMPLES
4x + 3 = ¾x
4(4x) + 4(3) = 4(¾x)
16x + 12 = 3x
13x + 12 = 0
13x = - 12
x = - 12/13