Algebra I Unit 1 Relationships between Quantities Chapter 2 Linear Equations

Transcription

1 Leon 21 Writing Equation Algebra I Unit 1 Relationhip between Quantitie Chapter 2 Linear Equation I can tranlate entence into equation I can tranlate equation into entence CCSS: ACED1, MP2 Example 1: Tranlate Sentence into Equation Tranlate each entence into an equation A number b divided by three i ix le than c Fifteen more than z time 6 i 11 le than y time 2 Guided Practice 1: Tranlate Sentence into Equation Tranlate each entence into an equation Two plu the quotient of a number and 8 i the ame a 16 Twentyeven time k i h quared decreaed by 9 RealWorld Example 2: Ue the UPS Check Problem Solving Plan A jellybean manufacturer produce 1,250,000 jellybean per hour How many hour doe it take to produce 10,000,000 jellybean? = th C = k 2+5=16 1,250,00=10,000, =8 th Guided Practice 2: Ue the UPS Check Problem Solving Plan There are 50 member in the North Carolina Senate Thi i 70 fewer than the number in the North Carolina Houe of Repreentative How many member are in the North Carolina Houe of Repreentative? Ro= :X X 70=50 Example 3: Write a Formula Tranlate the entence into a formul The perimeter of a quare equal four time the length of a ide Pitt

2 Guided Practice 3: Write a Formula Tranlate the entence into a formul In a right triangle, the quare of the meaure of the hypotenue c i equal to the um of the quare of the meaure of the leg, a and Example 4: Tranlate Equation into Sentence Tranlate each equation into a entence AZ tb2=c2 12 minu 2 time i equal Guided Practice 4: Tranlate Equation into Sentence Tranlate each equation into a entence a a Squared plu 3 time B equal C divided by 6 25 time bat a quared plu 2 to 5 3 divided by Example 5: Write a Problem 2 time minu t cubed i 132 Write a problem baed on the given information f = cot of frie f = cot of burger price ny John buy 4 burger at normal and price burger a price he ha coupon that g,y( Guided Practice 5: Write a Problem take off the amount Write a problem µ baed on the given information of p = Beth alary of 01p = bonu He money a Fry pend Leon 22 Solving OneStep Equation I can olve equation by uing addition and ubtraction I can olve equation by uing multiplication and diviion

3 ' CCSS: AREI1, AREI3, MP6 Example 1: by Adding h= 15 Guided Practice 1: by Adding each equation Example 2: by ubtracting Guided Practice 2: by ubtracting each equation zp k 16 K=@ Example 3: by Multiplying or Dividing each equation it z±µ= } # k= if k= 3 Iga=w 3L Guided Practice 3: by Multiplying or Dividing each equation IF % } 5 r=@ ty 3z=br2g@

4 10=125 RealWorld Example 4: Ricardo i driving 780 mile to Memphi He drove about Ricardo drive? of the ditance on the firt day About how many mile did Guided Practice 4: 780 (F) =D 1563 =D d=4'5@ Allion i making a tained gla window Her pattern require that one fifth of the gla hould be blue She ha 288 quare inche of blue gla If he intend to ue all of her blue gla, how much gla will he need for the entire project? Leon 23 Solving MultiStep Equation I can olve equation involving more than one operation I can olve equation involving conecutive integer CCSS: AREI1, AREI3, MP8 Example 1: MultiStep Equation each equation Check your olution Guided Practice 1: MultiStep Equation each equation Check your olution gtgeez88i5gl440@pemdasacyiye / " 'Ea=@ K±9g= 24g K=@ +6 }9", eezat@nxl 30,= n=e@ RealWorld Example 2: Write an equation for the problem Then olve the equation Suan had a $10 coupon for the purchae of any item She bought a coat that wa on ale for ½ it original price After uing the coupon, Suan paid $125 for the coat before taxe What wa the original price of the coat? tzp the p=zf@

5 5/2 Guided Practice 2: Write an equation for the problem Then olve the equation A muic tore ha old 3/5 of their hiphop CD, but 10 were returned Now the tore ha 62 hiphop CD How many were there originally? 5/2 Example 3: a Conecutive Integer Problem Write an equation for the following problem Then olve the equation and anwer the problem Find three conecutive odd integer with a um of 57 KITE Guided Practice 3: a Conecutive Integer Problem Write an equation for the following problem Then olve the equation and anwer the problem Find three conecutive integer with a um of 21 Leon 24 Solving Equation with the Variable on Each Side I can olve equation with the variable on each ide I can olve equation involving grouping ymbol CCSS: AREI1, AREI3, MP1, MP5 Example 1: an Equation with Variable on Each Side Check your olution Guided Practice 1: an Equation with Variable on Each Side each equation Check your olution 62= =25 'x 10 tn/+y+z=57 }x=5f #txdtxt4)57 =Yp,,o@ 3 +66=57 5C 5C 10 Xtlxt D + ( Xt2)=2l 3 B I ' Chu Yy=2cIf g +567=715 ) =352 2g }3=33 +17A + " a±z 7 a za z{o= *@

6 luz 65 tjtax,±f Example 2: an Equation with Grouping Symbol it it 7 : X=@ 6M A m owow Check your olution qqyam 6+49 kq 42 yuttfi " 4q 4g 73 =D 30 6=8q Guided Practice 2: an Equation with Grouping Symbol each equation Check your olution 7=6 9h +6+6 Example 3: Find Special Solution each equation n = A A + to +65 t6 7h 7=6 + 7h n m 5=2,4 2N, 7h j 9gnn=@ m n 4*16= S@ 161=320 40C goin#n00lu@ +80=4,ft8o 44 Guided Practice 3: Find Special Solution each equation

7 m 7= 't, =; trx 30=20 bȳ g 6yf 50 No +30 =@ 16g Solution! Standardized Tet Example 4: Write an Equation Find the value of h o that the figure have the ame are = flo )( he ) ftptzbh b 3h = 5Th ) A 1 C B 3 D 5 3h= 5h 10 Guided Practice 4: Write an Equation Find the value of x o that the figure have the ame perimeter i5znniyoh@pfltwj22lt2wl =W 2( ) ) =w V = F 15 # H G 2 J 4 Leon 25 Solving Equation Involving Abolute Value =L 2 +8=6 8 '4 2 2 FF X=2 I can evaluate abolute value expreion I can olve abolute value equation