Algebra 1:

Target #l:

Chapter 2 Test Review (2.1-2.5) Name:

x-3=9+3 +3

Solve one step equations using addition, subtraction, multiplication, and division.

Target #22 Solve two step equations using addition, subtraction, multiplication, and division.

2. y*4=2-.1 -Y

5.3x-2=73x =1

6-3

3. 4m=28,1 'l

Target #3: Use the Distributive Property to simplify expressions and solve multiple step equations.

K.

t4

9. 3)=2+4x- tL -- zl

4x=sç

7.4r+8

2

4r+ t -- t,(4r -- c

r-_ Lq

11. 4)=e

-2x -4 = L- zx -- lo

8. 8 - 4x=10

-'lx -- Z.LY-- -1

10. 10+ )=gÌô + gnatC -- 8

zvw +lb --8

12. 6- )=2eG - (tx f Z = z0

-ux ,-8 =ZA- Gl'-lî

3w1 =-1-8Wl' -

x -- -s

Target #42 Solve multistep equations containing fractions and decimals.

4 1+r{'.þx ={ ; le'øo^:tu(-,cs ('''x+ ô'3 -7 ='q) 'lo

lc + 7x2x=

z l7x +(,3 -?O --8r/

-t3 lLx -27 =84I -t3 //X--: /ILI

L 4-.

4x

21-xl-=327x r-.z+34x

tt

t,ö |

:33,37

,/

),

Itt

, =L Ltc

Target #5: Solve multistep equations containing variables on both sides of the ":"

lzx -- tl I"ì1 -- lll

-lL

16. -8.2x= 4.25)' 'ooblz-tzOx=\zS

_?zox = -lr7

17.6h+- Ll"

1h4

3 =2h-13-zh

+,

h

h

3 - -t3' t Gx+G= -l Lt -r.<

I

-Î-7:'lf-3r-1-f-z = r-1_1 _f-7î- L = -1

-Z-r =-1r--j=LLl

-- -1

-t87yfe_820

qz{t l"

3/,.1u+3^ =1x.+7+Zl=tâX+7çtq{ 4¡wal5=27 ftkc

20. 8d+ d)=4d+lî"1 +ct -s¿l = lJ+ 1r"l +-1 =4ol+7-'14 - 1"1J+q--7

G

Target #62 Solve formulas and abstract equations for specific variables.

21. Solve for ln.

k mþ L-4

22. Solve for x.

2h-3x= x*4+3r +3x

(l= Yt

23. Solve fory,

3y-9x=12l_ct r t_e x

2Á=-1

24. Solve for a.

)= 6mZtJ - 7c- -_ îvvtI

- 7c,,- = brn - Ze,a' -- Cvvt ZP

-L -ZWord Problems:

'l x +'l

2!-L¿.r!l

-l

= 4xLl

3vlz /s /¡

25. Aplumber finished three jobs on Tuesday. The first two only cost the owner the $90 trip feebecause they took very little time to complete. For the third job, the plumber charged the trip feeplus 8 times his hourly rate. If the plumber received a total of $370 for the day, what is thehourly rate?

Y = 4 +sx

[,r - h'or\Y ¡"]c T"L /(qo) +

gh + zz0 -_ 37ôth = lÖÓ

I - t00^- I

26. An appliance repair person charges $35 per trip plus $25 per hour for her labor, The cost off,rxing a stove was $122.50. Write and solve and equation to find how many hours it took torepair the stove.

t-_ ü,. t#.

27. A water park offers a season pass for $64 per person. Without a season pass, admission forthe water park is $14.50 per person, and there is a one time registration fee of $5. How manytimes would you have to visit the water park for the season pass to be a better deal? Define a

€,'*,'{J

variable and write an equation for the situation. Then solve.+e{t+.'aolnÌssloas^,. 14-5ÖA +{ = bI' r þ $tp*tK lq.ço /+ -_ f1

f = 4. o 0î1 c,tr'/ 7

25't r3l = lZz'SÓzst : 87.5o

28. Jacob is saving for a new bicycle, which costs $ 175. He has already saved $3 5. His goal isto have enough money saved in six weeks to pay for the bicycle. Write an equation to representhow much money he needs to s each week to meet his goal. Then solve.

¡v\ = iloALf¿L(h

29. ldentify the error the student made in solving the given equation. Then find the correct solution.

Solve: 3+2x=5-3(x-a)

çovJweÅ<

3+2x=5 4) 33+2x=5-3 23+2x=-7 -3x3+5x=-75,r = -10

b.n +-3f = t1f( "vv't = l4O

{- 2x--I3rzl={

Writing.

30. Explain when an equation has no solution. Then explain when an equation is called anidentity, 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 anotherstudent. For example, in the equation 3x+4=2x- 3,I would begin by subtracting 4 from theleft side, but someone else may begin by adding 3 to the right side. What is the most importantthing to remember when solving any equation?

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'etL)o-J:io is Ao mulkr *ht v ov

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av\ eLuutr¡ o't Yn' lA ,,f il ' tuloþ^tÌ¡ uøo ll-'ply '

o{ oltvì/¿ oA ' fht Mtr ''olt

o( *ln'

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