SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3....
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Transcript of SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3....
![Page 1: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/1.jpg)
SWBAT… simplify algebraic expressions
Agenda
1. Warm-up (10 min)
2. Review hw#1 (15 min)
3. Combining like terms / practice (15 min)
4. OYO (On Your Own) practice problems (5 min)
Warm-Up:
HW#2: Simplifying algebraic expressions
Tues, 9/13
![Page 2: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/2.jpg)
Algebraic ExpressionsObjective: To combine like terms to simplify expressions
Infinity HSMs. Sophia Papaefthimiou
![Page 3: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/3.jpg)
Like Terms are terms with the same variable AND the same exponent.
Example #1:
Simplify: 5x – 4x2 – 7x + 14x2
Answer: 10x2 – 2x
To simplify expressions with like terms, simply combine the like terms.
![Page 4: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/4.jpg)
Are these like terms?
1) 13k, 22kYes, the variables are the same.
2) 5ab, 4ba Yes, the order of the variables doesn’t matter.
(Commandment #9)
3) x3y, xy3
No, the exponents are on different variables.
![Page 5: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/5.jpg)
WARNING!!!!
You calculate the answer using the sign that is to the left of the number or variable.
![Page 6: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/6.jpg)
1) 5a2 + 7a
Simplified
2) -4x2y + x2y – x2y + x2
-4x2y + x2
3) 3m2n + 10mn2 – 7m2n – 4mn2 + 9m
-4m2n + 6mn2 + 9m
4) a + 3a – 4(9 – a)
8a – 36
5) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle?
4x – 2
Warm-Up: Simplify each expression
![Page 7: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/7.jpg)
1.) Which of the following is the simplified form of -4x + 7x ?
1. -4
2. 3x
3. -3x
4. 4
Don’t forget the negative!
![Page 8: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/8.jpg)
2.) Which of the following is the simplified form of 5x – 4 – 7x + 14 ?
1. 12x + 18
2. -2x + 10
3. 2x – 18
4. 12x – 18
![Page 9: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/9.jpg)
3.) -4d – 6a2 +2d – 12a2
-18a2 – 2d
3y
4y
45.)
3y
4
1y
4
4y
41y
y
8x 2 2x2 5a a10x2 6a
4.)
![Page 10: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/10.jpg)
OYO (On Your Own) Problems
1. 5(z – 3) + 4z
2. 4(y2 + 8y – 2) – y2 + y
3. 5(3x – 7) – 6x
4. 7(4x2 + 3x) + 2(5x2 + x)
5. 8x + 2[5 – (x – 3)] Step 1: Distribute the -1 first (inside the brackets)
Step 2: Combine the like terms inside the brackets
Step 3: Distribute the 2
![Page 11: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/11.jpg)
SWBAT… simplify algebraic expressionsAgenda
1. WU (15 min)
2. Review HW#2 (20 min)
Warm-Up: If simplified, write “simplified”
1) 5a2 + 7a
2) -4x2y + x2y – x2y + x2
3) a + 3a – 4(9 – a)
4) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle?
Wed, 9/14
![Page 12: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/12.jpg)
1) 5a2 + 7a
Simplified
2) -4x2y + x2y – x2y + x2
-4x2y + x2
3) a + 3a – 4(9 – a)
8a – 36
4) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle?
4x – 2
Warm-Up: Simplify each expression
![Page 13: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/13.jpg)
Which figure below models the simplification of -4x – 5 + 7x + 7 using these tiles?
Answer Now
1.
2.
3.
4.
![Page 14: SWBAT… simplify algebraic expressions Agenda 1. Warm-up (10 min) 2. Review hw#1 (15 min) 3. Combining like terms / practice (15 min) 4. OYO (On Your Own)](https://reader036.fdocuments.in/reader036/viewer/2022083008/56649f4a5503460f94c6c04b/html5/thumbnails/14.jpg)
Let’s review the back of the agenda before we begin the quiz.