NCJUSD Grade 7 Pre-Algebra Benchmark 2 Study Guide

North County JointUnion School DistrictGrade 7Pre-AlgebraDirections: All questions on this study guide areshown using best practices. Read each questioncarefully and do the "You-try" using the samemethods .You may write on this study guide. Do all yourwork in the space provided under the"You-try".Benchmark 2 Study Guide

NCJUSD Grade 7 Pre-AlgebraBenchmark 2 Study Guide1Simplify1Simplify2Writeas a fraction.2Writeas a fraction.Decomposition:Division by GCF:3 What is3 What isPage 1 of 12 MDC@ACOE (SBCMI) 02/03/11

NCJUSD Grade 7 Pre-Algebra6Jason bought a jacket on sale for off ofthe original price, and another off of thediscounted price. If the jacket originally costwhat was the final sale price that Jasonpaid for the jacket?Use a Verbal Model:[Original price-(original price 1 st discount)]- (new price 2 nd discount)6Benchmark 2 Study GuideMoesha bought a jacket on sale for off.At the register, she found the sweater wasanother off of the sale price. If thesweater was originally what was thefinal price?Use a Bar Model:offfof7Showwritten in scientific notation.7Writein scientific notation.1.Place thedecimalpoint afterthe firstnonzeronumber.2. Re-write thenumber as aproduct of 10. Theexponentrepresents howmany decimalplaces weremoved.Page 3 of 12 MDC@ACOE (SBCMI) 02/03/11

NCJUSD Grade 7 Pre-Algebra10The cost for corn went from per bushel in2005 to per bushel in 2009. How muchpercent did the price increase from 2005 to2009?Method 1: Method 2:10Benchmark 2 Study GuideThe All-Holiday Balloon Company noticedan increase in balloon sales duringValentine’s Day. In January, they sold 903balloons, and in February they sold 1,019balloons. How much percent did the numberof balloons increase from January toFebruary?11Convertinto a reduced fraction.11Convertinto a reduced fraction.is read “threehundred and fifty-fivethousandths”, thereforewe write it as a fractionwith a denominator of1000.Page 5 of 12 MDC@ACOE (SBCMI) 02/03/11

NCJUSD Grade 7 Pre-AlgebraBenchmark 2 Study Guide12Solve the inequality12Solve the inequalityThe directionof the greaterthan signchangeswhen youdivide by anegativenumber.13Sally is 4 more than 3 times as old as Joey.Joey is 3 years old. How old is Sally?13Bobby and Carol bike every day. Bobby bikesfive times more than half of Carol’s distance.If carol bikes 4 miles every day, how far isBobby’s bike ride?Assign both Sally and Joey avariable to represent them.SallyJoeyReplace j with 3,because we are toldin the problem thatJoey is 3 years old.Sally is 13 years oldPage 6 of 12 MDC@ACOE (SBCMI) 02/03/11

NCJUSD Grade 7 Pre-AlgebraBenchmark 2 Study Guide14A map of California is drawn with a scale of. If you measure the distancefrom San Francisco to Sacramento to be, what is the actual distance from San14A blueprint of a room is drawn with a scalefactor of. Which is the bestestimate of the perimeter of the room in theblueprint, if the perimeter of the actual roomisFrancisco to Sacramento?Set up aproportionto solve.15Find the slope of the line that passes through15Find the slope of a line that passes throughm is thevariable thatrepresentsthe slope ofa line.Slopeformula.Page 7 of 12 MDC@ACOE (SBCMI) 02/03/11

NCJUSD Grade 7 Pre-AlgebraBenchmark 2 Study Guide16 Graph the equation 16 Graph the equationCreate a t-table:xy41014Use the t-table to list the orderedpairs.Page 8 of 12 MDC@ACOE (SBCMI) 02/03/11

NCJUSD Grade 7 Pre-AlgebraBenchmark 2 Study GuidePage 10 of 12 MDC@ACOE (SBCMI) 02/03/11

NCJUSD Grade 7 Pre-AlgebraBenchmark 2 Study Guide9 NS 2.210 NS 1.611 NS 1.512 AF 4.113 AF 4.114 MG 1.215 AF 3.316 AF 4.2Page 11 of 12 MDC@ACOE (SBCMI) 02/03/11

NCJUSD Grade 7 Pre-AlgebraBenchmark 2 Study Guide17 AF 1.5Page 12 of 12 MDC@ACOE (SBCMI) 02/03/11