Algebra 1: Chapter 2 Test Review (2.1-2.5) Name: K. Target #l: Solve one step equations using addition, subtraction, multiplication, and division. x-3=9 +3 +3 2. y*4=2 -.1 -Y 3. 4m=28,1 'l t4 Target #22 Solve two step equations using addition, subtraction, multiplication, and division. 5.3x-2=7 3x =1 6-3 7. 4r+8 2 4r+ t -- t,( 4r -- c r-_ L q 8. 8-4x=10 -'lx -- Z.L Y-- -1 Target #3: Use the Distributive Property to simplify expressions and solve multiple step equations. 9. 3)=2+ 4x- tl 4x=sç -- zl 11. 4)=e -2x -4 = L - zx -- lo 10. 10+ )=g Ìô + gnatc -- 8 zvw +lb --8 3w1 =-1-8 Wl' - 12. 6- )=2e G - (tx f Z = z0 -ux,-8 =ZA - Gl'-lî x -- -s
Target #42 Solve multistep equations containing fractions and decimals. 4 1+r{'.þx ={ ; le'øo^:tu(-,cs ('''x+ ô'3-7 ='q) lc + 7x 2x= L 4-. 4x z -t3 -t3 / /X--: / L 21 -xl-= 32 7x r-.z +3 4x ), tt t,ö :33,37,/ tt, =L L tc l7x +(,3 -?O --8r/ llx -27 =84 lzx -- tl "ì1 -- lll - ll 16. -8.2x= 4.25)' 'oo blz-tzox=\zs _?zox = -lr7 -t87 yfe _820 'lo qz{ t l" Target #5: Solve multistep equations containing variables on both sides of the ":" 17.6h+ - Ll" 1h 4 h 3 =2h-13 -zh +, h 3 - -t3 = -l ' Lt t -- -1 3/,.1u+3^ =1x.+7+Zl Gx+G -r.< G =tâx+7 çtq{ 4 wal5 =27 ftkc -Î-7:'lf-3r-1 -f-z = r-1 _1 _f -7î- L = -1 -Z-r =-1 r--j=lll 20. 8d+ d)=4d+l î"1 +ct -s l = lj+ 1 r"l +-1 =4ol+7 -'14-1"1 J+q--7
Target #62 Solve formulas and abstract equations for specific variables. 21. Solve for ln. k mþ -4 L (l= Yt 22. Solve for x. 2h-3x= x*4 +3r +3x 23. Solve fory, 3y-9x=12 l_ct r t_e x 24. Solve for a. 2Á= -1 2!-L.r!l 'l x +'l -l = 4x Ll 3v lz /s / Y = 4 +sx )= 6m ZtJ - 7c- -_ îvvt - 7c,,- = brn - Ze, a' -- Cvvt Word Problems: ZP -L -Z 25. Aplumber finished three jobs on Tuesday. The first two only cost the owner the $90 trip fee because they took very little time to complete. For the third job, the plumber charged the trip fee plus 8 times his hourly rate. f the plumber received a total of $370 for the day, what is the hourly rate? [,r - h'or\y "]c T"L / (qo) + gh + zz0 -_ 37ô th = löó - t00 ^-
26. An appliance repair person charges $35 per trip plus $25 per hour for her labor, The cost of f,rxing a stove was $122.50. Write and solve and equation to find how many hours it took to repair the stove.,'*,'{j t-_ ü,. t#. 25't r3l = lzz'só zst : 87.5o 27. A water park offers a season pass for $64 per person. Without a season pass, admission for the water park is $14.50 per person, and there is a one time registration fee of $5. How many times would you have to visit the water park for the season pass to be a better deal? Define a variable and write an equation for the situation. Then solve. +e{ t+.'aolnìssloas^,. 14-5ÖA +{ = b ' r þ $tp*tk lq.ço /+ -_ f1 f = 4. o 0î1 c,tr'/ 7 28. Jacob is saving for a new bicycle, which costs $ 175. He has already saved $3 5. His goal is to have enough money saved in six weeks to pay for the bicycle. Write an equation to represent how much money he needs to s each week to meet his goal. Then solve. v\ = iloalf L(h çovj weå< b.n +-3f = t1f ( "vv't = l4o 29. ldentify the error the student made in solving the given equation. Then find the correct solution. Solve: 3+2x=5-3(x-a) 3+2x=5 4) 3 3+2x=5-3 2 3+2x=-7-3x 3+5x=-7 5,r = -10 {- 2x-- 3rzl={
Writing. 30. Explain when an equation has no solution. Then explain when an equation is called an identity, and has an infinite number of solutions, 31. Explain why it doesn't matter if you begin solving an equation in the same way as another student. For example, in the equation 3x+4=2x- 3, would begin by subtracting 4 from the left side, but someone else may begin by adding 3 to the right side. What is the most important thing to remember when solving any equation? Tlt ltos+ ìmporhnl ' l' + le-n e'uvtbec 'uho^ 'etl)o-j:io s ø[vi,15 q,a is Ao mulkr *ht v ov "-lol, sul m.l / Y u tl;rly ) or J;v /c o^ ovle s J "+ av\ eluutr o't Yn' la,,f il tuloþ^tì ' uøo ll-'ply ' o{ oltvì/ oa ' fht Mtr ''olt o( *ln' elul'+ d l '