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Published byHugh Hall Modified over 9 years ago

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**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

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**PEMDAS AND COMBINE LIKE TERMS WS**

WARM UP: PEMDAS AND COMBINE LIKE TERMS WS

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**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

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**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

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**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

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**−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

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**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

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**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

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**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

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**PEMDAS, CLT & DISTRIBUTION WS**

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

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