1. TODAY IN ALGEBRA 2.0… Warm Up: Review PEMDAS and Combine Like Terms WS
Learning Goal: You will be able to apply the distributive property
Independent Practice – NO A.T.
PEMDAS, Combine Like Terms and Distributive Property Quiz - Tuesday

2. PEMDAS AND COMBINE LIKE TERMS WS
WARM UP:
PEMDAS AND COMBINE LIKE TERMS WS

3. Apply the Distributive Property (number or variable BEFORE parenthesis)
Example 1:
1. 2 𝑦 (2−𝑛)
−2(𝑥+7) −(3𝑥+9)
5. 𝑧(𝑧+4) −𝑥(2𝑥−5)
=2 𝑦 +2 3
=𝟐𝒚+𝟔
=8 2 −8 𝑛
=𝟏𝟔−𝟖𝒏
=−1(3𝑥+9)
=−2 𝑥 +(−2) 7
=−2𝑥+(−14)
=−𝟐𝒙−𝟏𝟒
=−1 3𝑥 + −1 9
=−3𝑥+(−9)
=−𝟑𝒙−𝟗
=𝑧 𝑧 +𝑧 4
= 𝒛 𝟐 +𝟒𝒛
=−𝑥 2𝑥 −(−𝑥) 5
= −2𝑥 2 −(−5𝑥)
=−𝟐 𝒙 𝟐 +𝟓𝒙

4. Apply the Distributive Property (number or variable AFTER parenthesis)
Example 2:
1. 𝑚 𝑦−7 2
3. (𝑝−3)(−8) (𝑣+1)(6𝑣)
5. 𝑎+8 𝑎 (5−𝑦)(−3𝑦)
=5(𝑚)+5(5)
=𝟓𝒎+𝟐𝟓
=2 𝑦 −2 7
=𝟐𝒚−𝟏𝟒
=−8 𝑝 −(−8) 3
=−8𝑝−(−24)
=−𝟖𝒑+𝟐𝟒
=6𝑣 𝑣 + 6𝑣 1
=𝟔 𝒗 𝟐 +𝟔𝒗
=𝑎 𝑎 +𝑎 8
= 𝒂 𝟐 +𝟖𝒂
=−3𝑦 5 −(−3𝑦) 𝑦
=−15𝑦−(−3 𝑦 2 )
=−𝟏𝟓𝒚+𝟑 𝒚 𝟐

5. Apply the Distributive Property
Practice 1:
1. 4 𝑦 𝑦+7 𝑦
3. 𝑛(𝑛−9) −𝑛 8
=4(𝑦)+4(3)
=𝟒𝒚+𝟏𝟐
=𝑦 𝑦 +𝑦 7
= 𝒚 𝟐 +𝟕𝒚
=𝑛 𝑛 −(𝑛) 9
= 𝒏 𝟐 −𝟗𝒏
=8 2 −8 𝑛
=𝟏𝟔−𝟖𝒏

6. −𝑥+2𝑥+8 Distribution and Combining Like Terms Example 3:
1. −𝑥+2𝑥 −7+13𝑥+2𝑥+8
3. 3 𝑚+5 − 𝑤−5 +3𝑤
Terms
Coefficients
Constant term
=(−𝑥+2𝑥)+8
=𝒙+𝟖
=(13𝑥+2𝑥)+(−7+8)
=𝟏𝟓𝒙+𝟏
=3 𝑚 +3 5 −10
=3𝑚+15−10
=3𝑚+(15−10)
=𝟑𝒎+𝟓
=7 𝑤 −7 5 +3𝑤
=7𝑤−35+3𝑤
= 7𝑤+3𝑤 −35
=𝟏𝟎𝒘−𝟑𝟓

7. Distribution and Combining Like Terms
Practice 2:
𝑦−2−5𝑦 2. −7+13𝑥+2𝑥+8
−𝑧 +2𝑧 −6 𝑣+1 +𝑣
= 7𝑦−5𝑦 +(9−2)
=𝟐𝒚+𝟕
= 13𝑥+2𝑥 +(−7+8)
=𝟏𝟓𝒙+𝟏
=6 5 −6 𝑧 +2𝑧
=30−6𝑧+2𝑧
= −6𝑧+2𝑧 +30
=−𝟒𝒛+𝟑𝟎
=−6 𝑣 +(−6) 1 +𝑣
=−6𝑣+ −6 +𝑣
= −6𝑣+𝑣 −6
=−𝟓𝒗−𝟔

8. Apply the Distributive Property by finding AREA and PERIMETER
Example 4:
Area: 3 𝑥+2
Perimeter: 𝑥+2 +(𝑥+2) 3
𝑥+2
=3(𝑥)+3(2)
=𝟑𝒙+𝟔
= 𝑥+𝑥 +( )
=𝟐𝒙+𝟏𝟎

9. Apply the Distributive Property by finding AREA and PERIMETER
Practice 3:
Area: 3−2𝑎 9
Perimeter: −2𝑎 +(3−2𝑎) 9
3−2𝑎
=9 3 −9(2𝑎)
=𝟐𝟕−𝟏𝟖𝒂
=[ −2𝑎 + −2𝑎 ]+( )
=−𝟒𝒂+𝟐𝟒

10. PEMDAS, CLT & DISTRIBUTION WS
IN CLASS WORK #2:
PEMDAS, CLT & DISTRIBUTION WS