1. Twelve less than five times a number is thirty three. What is the number

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1 Alger 00 Midterm Review Nme: Dte: Directions: For the following prolems, on SEPARATE PIECE OF PAPER; Define the unknown vrile Set up n eqution (Include sketch/chrt if necessr) Solve nd show work Answer the question. Twelve less thn five times numer is thirt three. Wht is the numer. If is dded to four times numer, the result is 00. Find the numer.. The sum of three consecutive odd numers is -9. Wht re the numers?. Erl hs 8 coins, ll dimes nd qurters. How mn of ech does he hve if their totl vlue is $5.0? 5. Bo is si ers older thn his sister, nd the sum of their ges is. How old is Bo? 6. The sum of two numers is. One numer eceeds the other 9. Find the numers. 7. John s fmil is sving mone for John to go to college. The currentl hve $500 in the nk nd sve $50 ech month. Ale s fmil is lso sving for college. The currentl hve $900 in the nk nd sve $50 per month. When will oth fmilies hve the sme mount of svings?

2 Evlute ech of the following: 5 7) 5)( (.) )6 5 ) ) 5 (8 ) 0) )( Evlute if 5,,,, 8 r q n p m 8) 7) ) 6)( r n pq mn Simplif: ) ).5 0).5 5 ) 9)( m m m

3 Evlute if 5 7,,, d c 8)7 7) 6) 5) ) )5( ) d c d c d c Solve: 8 8 ) ) 56 0) 9) w p

4 Simplif ( 7) Evlute for the given vlue(s) for =, = 8 9. q p for p = -, q = Solve. If solution is n improper frction, rewrite it s mied numer = 5 + w. 5 = -. = k (-). 5 d. 0.6 = k w = 05

5 6. t n 7 9 p Simplif. If solution is n improper frction, rewrite it s mied numer

6 Grph ech of the following using slope-intercept form. Stte the slope nd the -intercept. (Grph ll of the lines on the set of es.). m =. m = = =. m =. 7 m = = =

7 Determine whether ech pir of equtions re prllel, perpendiculr, or neither Determine wht tpe of lines these two equtions re nd grph. 9. 8

8 0. Which of the points re on the line = - + 7? Write es or no. ) (7, 0) ) (-, ) c) (-, ) d) (, 5). Write the eqution of line tht hs slope of 5 nd -intercept of 6.. Write the eqution of line tht hs slope of - nd contins the point (, -)... Write the eqution of line which contins the points (8, 0) nd (-8, ).. A line contins the points (9, 6) nd (, -). Wht is the slope of ll lines perpendiculr to tht line?. Wht is the slope of line tht is prllel to = 8?. Write the eqution of line tht is prllel to the line 5 tht contins the point (-, -). Grph the line. 5. Write the eqution of line tht is perpendiculr to = + 6 nd contins the point (-, 5). Grph the line.

9 Liner Apps Question: A lese for pre-owned Lnd Rover is dvertised in the pper. The dvertisement indictes tht person cn lese the Lnd Rover for months nd p $,88 or lese it for 8 months nd p $0,5. () Let represent the numer of months ou lese the cr for nd let represent the totl cost of our lese pments. Epress the informtion given using two ordered pirs (, ) nd find the slope of the line pssing through the two points. () Write the eqution of the line pssing through the two points. (c) Bsed upon our eqution, wht does the slope represent in reltion to this prolem? (d) Bsed upon our eqution, wht is the -intercept nd wht does it men in reltion to this prolem? (e) If person s pments totl $,99, for how mn months re the lesing the Lnd Rover?

10 SYSTEMS: Solve ech sstem the grphing method. ) 8 ) ) 9 ) 6

11 5) 0 6) 6 Solve ech sstem the sustitution method. 7) 8) 8 9) 0) 0 5

12 ) 9 6 ) 0 6 n m n m ) ) ) 8 6)

13 Solve Elimintion: ) + = ) + = 9 = 5 = 5 ) = 0 ) 8 + = 0 = = - 5) 5 = 6) + = 5 + = ) = 0 8) 5 + = = = -

14 Trnslting Sentences into Equtions Emples. The sum of numer nd fifteen is sit five.. A numer decresed eight nd then the quntit is multiplied four totls sit four.. A rectngle hs length nd width +. The perimeter is.. Three times the quntit two less thn is eight. 5. Two less thn the product of three nd is ten. 6. Seven less thn four times numer is eleven more thn two times numer. 7. A seson ticket good for 9 sketll gmes costs $09. Write the eqution sed on one dmission with the ticket. 8. Ech cr in fleet of twent four rentl crs is either red or lue. There re three more lue crs thn twice the numer of red crs. Write the eqution in terms of the numer of red crs. For the following prolems, set up the eqution nd solve. 9. The sum of 5 times numer nd - is -6.

15 0. The sum of four times numer nd is times the sum of numer nd is 5.. Si times the difference of numer nd 9 is.. The sum of seven times numer nd is 8.. Three times the sum of numer nd negtive is -5.