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*"*. [?, c,r.. Date Practice 1-4 Form K Solving Equations Solve each equation. 1.5x+ 4:2x+ 2.10w*3:8w+5 l0 To start, subtract 2-r from each side. To start" subtract 8w from each side. X=a w__u1 4.s+2-3s-16:0 - 3):2d 3. 4(d St-r d=L Solve each equation. Check your answer. 5.9(z-3)=122 5=6y+11 6.7v Z=-'l !=L 7.5w'j-8-12w:16-l'w lal= 8.3(x t l):2(x + I l) t1 X= Write an equation to solve each problem. 9. Lisa and Beth have babysittingjobs. Lisa eams $30 per week and Beth earns $25 per week. How many weeks will it take for them to earn a total of $275? To start, record what you know. Lisa eams $30 per week. , Describe what you need to E{ us', {r.k \\ Beth eams $25 per week. Total eamed: $275 an equation to find the number of weeks it takes to earn $275 together find. 5 Wee&-s 10. The angles of atriangle are in the ratio2 12:16. The sum of all the angles in a triangle must equal 180 degrees. What is the degree measure of each angle of the triangle? Let x the common factor. : Tal o-n6Us a-w- lt' {1. What two consecutive numbers have t?Zo t a.,.d, q U" a sum of 53? T1'4- *wY'rIx"rS a,{L ?b a-nd e1 Determine whether the equation ts always, sometimes, or never true. 12.3(2x - 4): 6(x - 13. 4(x + 3) 2) A\wt4-r 2(2x + l) fl0\/e/r Prentice Hall Foundations Algebra Copyright : @ 2. Teaching Resources by Pearson Education, lnc., or its afiiliates. All Rights Reserved. 35 Name Class PfaCtiCe 1-4 Date (continued) Form K Solving Equations Solve each formula for the indicated variable. 14. I A=-bh.forb 2,' 15.P:2w*2l,forw eA r q1- ?-3t D--- h $. ,q = !h(b, + a br) , rot h S=2trrh+2nr2.forh 17. h=%#. v=ffi Solve each equation 18. ry fory. $.1ty+2)= - sy:1 l- l_ Y=# 20. m U= is-z 5= L+3=n 21. v-l : --:- 3 e z L--T * 1Y'-3) Solve each equation. 22.(x-3\-2=6-2(x+1) 23.4(a+2)-2a--10+3(a-3) X\3 A.2Qc + A,=1 l)-c:-13 25.8u+2(u- 10):0 tt-- lo C=-5 26. The first half of a play is 35 minutes longer than the second half of the play. If the entire play is 155 minutes long how long is the first half of the play? Write an equation to solve the problem. n^r $r.*hc\4 at '[*e ?4 ts QSminuJes a^d- t{'4.{ sa6nd" hnl(; Prentice Hall Foundations Algebra t 2. lso mi Teaching nu/,eJ Resources Copyright O by Pearson Educdion, lnc., or its affiliates. All Rights Reserved. 36 \-' R-^c*,'LL i I -rx ") ro +tl -Ll - L{ \-r' 3 - 8W -8 ed-a 5 r7 +3 (, Jv{ I 7 7 7 .G Ll 4 rD o t+. .S+J= ?s - J.4. =,=!{J -LU t: =12 -2e -l -1 .Q 4 -AS=t4 _ i ll{ - ?s _:_ -7 -.e '1 : q {- }r) -= -18 I tn9='lOF +t4 t{ a=* 5 u? : jGf ll Y- q" f, 9ft,1 w+8- l2 "Aw+g l{p: !5.uJ+ l5L*/ -- -e v*r*-', Z Lt7_r,lE, 4(ttfl)--- e bdQ*t-{-up- 3- coo) - ?he4.', 5(r)-* f=q( 5+g-t? I r) =-.1 q:!5[r) = lL- 15 { .?,1. =_-:-'- - :-t.---,La$:--&:-Jawn+Lx.r ^f w<eks: := ---tL ltlf - a tr"n x+I = \o-t^or, r-r,ru*La"---* ffit ulx+e Lr) -t illuru:- 11r- 9*rl"-+ ?-or,-l b) [at t (t",Ybn) l q, (q*=> { {? 3t 3 -rt -7 tt-;* *1{n b) I n't (n") n-3 Cn"\ L1-t I \ )Z rI *Jx a. 3x- 5 +$ -l A\ 8u* i(L-,u: t.;.+ 2u - \ / 2 lo