Name: Date: Ms. Ayinde Geometry Summer Assignment Overvie

Name:______________________________________________ Date:_________________
Ms.Ayinde
GeometrySummerAssignment
Overview:
This summer assignment is to get you thinking about some of the crucial topics covered in Algebra 1. This
assignment will include questions on factoring, completing the square, simplifying radicals, and solving
systems of equations. I strongly encourage you to look at your notes from Algebra 1 or watch Khan
Academy/Youtubevideostorefreshyourmemorybeforecompletingthisassignment.
Directions:
1. Printouttheattachedpacket.
2. Answerallthequestionsineachsection.SHOWALLYOURWORK!Ifyouusethecalculatortosolve,
pleasewriteoutwhatyouplugintothecalculatorandthebuttonsyoupress.
3. Answerallthequestionsdirectlyinthepackettoreceivepartialcredit.(25questions)
4. Stapleallyourworktogether.
This assignment is essential in your further understandings of Geometry. I will collect this assignment on
September9thinclass.ThiswillcountasaHomeworkgradeintheFirstQuarter.Youwillalsobehavingaquiz
inthefirstweekofschooltoensureyourunderstandingsofthesetopics.Pleaseletmeknowifyouhaveany
questionsatall!
Emailmeatayindes@cheznous.orgwithanyquestionsyoumayhave.Makesurewhenyouemailtoinclude
thecoursenameinthesubjectline,aswellasyournamewithintheemail.
Havealovelysummer!
SystemsofEquations:Solvethefollowingsystemsofequations.
1. Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends
a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total of $27.50 on four
bags of popcorn and two drinks. Determine and state the price of a bag of popcorn and the price of a
drink to the nearest cent. 2. Cheryl and Jackie work at an ice cream shop. Cheryl earns $8.50 per hour and Jackie earns $7.50 per
hour. During a typical week, Cheryl and Jackie earn $299.50 together. One week, Jackie doubles her
work hours and the girls earn $412. How many hours does each girl work during a typical week? 3. Margie is responsible for buying a week's supply of food and medication for the dogs and cats at a local
shelter. The food and medication for each dog costs twice as much as those supplies for a cat. She
needs to feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie spend on each dog
and cat for food and medication? 4. 5. Solvethegivensystemofequationsgraphicallyandalgebraically.
Graphically:
Algebraically:
Factoring:Factor/solvethefollowingpolynomialequations/expressions.
1.Whenfactored x 2 − 5 x − 6 is:
(1) ( x − 6 )( x − 1) (2) ( x − 3)( x − 2 ) (3) ( x − 6 )( x + 1) (4) ( x − 3)( x + 2 ) 2.WhichofthefollowingdoesnotrepresentaDifferenceofPerfectSquares?
(1) 25 x 2 − 4 (2) 3 x 2 − 147 (3) 16 − 25x 2 (4) 9 x 2 − 63 3.Factoredcompletely,theexpression 2 y 2 + 12 y − 54 isequivalentto
(1) 2( y − 3)( y − 9) (2) ( y + 6)(2 y − 9) (3) 2( y + 9)( y − 3) (4) (2 y + 6)( y − 9) 4.Whatarethefactorsof x 2 − 10 x − 24 ?
(1) ( x − 12)( x + 2) (2) ( x − 4)( x − 6) (3) ( x − 4)( x + 6) (4) ( x + 12)( x − 2) 5.Whichexpressionequals 6 x 2 + 7 x − 10 ?
(1) (6 x + 2)( x − 5) (2) (3x − 2)(2 x + 5) (3) ( x + 2)(6 x − 5) (4) (3x + 2)(2 x − 5) 6.Solvethefollowingequation: x 2 −13x − 30 = 0 7.Solvethefollowingequation:2𝑥 ! + 6𝑥 − 15 = 0
SimplifyingRadicals:Simplifythefollowingradicalstotheirsimplestform.
1. 80
2. 8
3. 32 − 30
4. 175
5. 45
6. 50 + 72
7. 108
8. 150
CompletingtheSquare:Solveeachequationbycompletingthesquare.
1. 𝑥 ! − 2𝑥 − 15 = 0
2. 𝑥 ! + 2𝑥 − 8 = 0
3. 8𝑥 ! + 16𝑥 = 42
4. 2𝑥 ! = 8𝑥 − 6
5. 𝑐 ! + 14𝑐 − 51 = 0