Review for Midterm Exam

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1 Algebra Name F Q[0jCq PKquPtaaU TSnoLfetfwYaBr\ee ilalccm.c X EAElZl LrhiggNhBt^sR vrle]s]e[revmepdw. Review for Midterm Eam Date ) ( - ) + 7 ) 7 - ) ) Evaluate each epression. ) - - ()(0 - + ) ) (- + ) - (-)() Evaluate each using the values given. 7) ; use =, and = - ( ) p p - m) ; use m = -, and p = Rational or Irrational? Also, name ALL other the subsets of the real numbers to which each number belongs. 9) 0 0) or... ) 0 ) -7 State the Propert. ) a) a + b = b + a b) (z)=()z c) - + = 0 Write each as an algebraic epression, equation or inequalit. ) p squared is ) the product of and is more than ) times plus times less than 7) the sum of n and is less than ) twice v is at most 7 9) the quotient of v plus and H ^G0lmj MKCu\tdaa LSLofLtNw`aFreeh WLkLzCl.n b raululs IriTgChqtXsX jrnezsferbvfepdt.w w OM`a^dJeS uw\iftvhm uitnefpianziytnei [AWlTgqewbDrMaE Gm. - Worksheet b Kuta Software LLC

2 Solve each equation. 0) v = 0 ) 9 - n = ) n + = -7 ) - p + p = 0 ) + r = + r ) -(b - ) + (b + ) = ) -( n + ) = - - n 7) 7 + ( + ) = - Solve the proportion. ) 0 r - 9 = r - Convert the given amount to the given unit. 9). mph to ft per sec 0) Person's height: ft in converted to cm Solve each problem. ) What is % of? ) What percent of 7 is? Find each percent change. State if it is an increase or a decrease. ) From $ to $ ) From $ to $79 X bc0mmm EKFubtbal zsuobfctpwkarraej flqlwcz.y laol`lp rrfiigphytrsd XrGeJskeEruvUe]db.p g pm_abdzeh \wiiptshc oignufti\nmidtmek naplhg\esbwriac mb. -- Worksheet b Kuta Software LLC

3 Solve each inequalit and graph its solution. ) -9a - ³ -9 ) - + m > -7 Solve each compound inequalit, graph its solution, and write in interval notation. 7) -7 < n + 9 < 7 ) - m < 9 or - - m ³ Solve each absolute value equation or inequalit. 9) + 7 = 0) = -9 ) < ) 9 + a ³ 0 Determine whether each graph shows a function or not. State the domain and range. ) ) p K\0r^Z pkcuctqam ^Snosf\tGwBaSrsep LLhLcCj.Y t aaolclo trmihgphft\sy DrTemsce[rXvkeSdq.G l ]MAafdDet HwCiMtLhK mi[nnfainnjiktues hagl`gbezbarbag Nu. -- Worksheet b Kuta Software LLC

4 Graph the points. Determine whether the relation is a function. Identif the domain & range. ) {(,),(,),(-,0),(,-)} ) {(9,-),(-,-),(-,9),(9,)} Find the slope of the line through each pair of points. 7) (, ), (, 0) ) (, ), (-, ) Write the slope-intercept form of the equation of the line through the given point with the given slope. 9) through: (-, ), slope = - Write the equation of each line. 0) ) Write the equation of the line in all three forms through the given points. ) through: (-, ) and (-, ) w qv0fmx KRu\ttal ESJoqfMtowWaurieB dlolfcr.\ z zallnld vrfihgohktsf KrVeEsAeNrJvseddY.D M dmga[d`ek FwictzhX GIwndffiAn[ikt_eL dadlegzebgriac E]. -- Worksheet b Kuta Software LLC

5 Graph each line. ) = ) = ) = ) = Determine the - and - intercepts, then sketch the graph of each line. 7) + = - ) - = L XI0Ojt jkpultvaq osdorfvtywkawrmeh FLQLXCN.A e AqlLlo nrfihgqhzt`sv JrNeusFer`vEegdp.\ E YM_awdZeo wsitnhf HI_nGf_ionziStReN NALlPgVehb\rFau ^Q. -- Worksheet b Kuta Software LLC

6 Solve each sstem. 9) = + = - - 0) - - = - = ) a) When will the solution to a sstem of equations be NO SOLUTION? b) When will the solution to a sstem of equations be INFINITELY MANY SOLUTIONS? ) Kala and Kristin are selling cookie dough for a school fundraiser. Customers can bu packages of chocolate chip cookie dough and packages of oatmeal cookie dough. Kala sold package of chocolate chip cookie dough and packages of oatmeal cookie dough for a total of $. Kristin sold packages of chocolate chip cookie dough and packages of oatmeal cookie dough for a total of $9. What is the cost each of one package of chocolate chip cookie dough and one package of oatmeal cookie dough? i Wc0DsF KBudtHaC LS]oifNtKwOa[rae] zl`l^cf. G ]AAlYlN XrTiqgqhttzsM ^rrexsxerxvtezdi.w e emardzeu owkigtohg miunrfdi`njimtmeb WANl^gFeEbRrras ZE. -- Worksheet b Kuta Software LLC

7 Answers to Review for Midterm Eam ) ) 9 ) ) - ) -0 ) 7) 9 ) 0 9) Rational, Whole, Integer, 0) Rational ) Irrational ) Rational, Integer ) a) Commutative b) associative c) inverse ) p = ) > ) + ( - ) 7) n + < ) v 7 9) v + 0) {-} ) {-9} ) {-} ) { } ) {0} ) { All real numbers. } ) {No Solution} 7) {} ) {} 9) 0 ft/s 0) 7.7 cm ). ) 9.% ) 0.7% decrease ) 79.% increase ) a 0 : ) m > - : ) - < n < : ) m > 9 or m - : 9) {, -0} ) No solution. ) - < < ) a ³ or a 9 ) Function D: all real numbers R: ³ ) Not a function D: ³ - R: all real numbers ) Function D: {-,,,} R: {-,0,,} ) Not a Function D: {-,-,9} R: {-,-,,9} 7) Undefined ) ) = - - 0) = - + ) PS: - = ( + ) or + = ( + ) SI: = + SF: - = w N0LP SKKutt_ab DScoufItawAaMrke flbl[cn.f O _AlrlY PrNitgNhQtLsv ]rke\sze\rbvve^dr.e E rmsaed_ep wwgigtih\ jiunmfaipnzipt\et laplfgdedbxrsaj M[. -7- ) = - Worksheet b Kuta Software LLC

8 ) ) ) ) - 7) - ) ) (-, -) 0) (, -) ) a) If the graphed lines never cross or if the solved sstems produce a false statement - - b) If the graphed lines are the same line or if the solved sstems produce a true statement ) package of chocolate chip cookie dough: $, package of oatmeal cookie dough: $9 \ MI0`Mp \KGuwtUad _SWovfWtAwdaRrpen JLcLhCZ.L o HAalAlb friiwgehqtnsp ^r\ebsgerbvgeidv.^ g PMaVde fwdihtuhl uienfgidngilt^ey KAblAgGetbcrka[ h]. -- Worksheet b Kuta Software LLC

Date Block Determine whether the numbers are rational or irrational. Explain why. Do they belong to any other sets of numbers?

Algebra j av0khj Kjuutgam LS[oufZtrwraWr`eH BLWL`Ce.e c hanl^lb ^rqimgwhttmsb TrheRsUeYrIv`e`dU. Final Review Name Date Block Determine whether the numbers are rational or irrational. Eplain wh. Do the