Unit 2 Review: Algebra€¦ · Unit 2 Review: Algebra 1. Identify each as a monomial, binomial, or...
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MFM1P – Unit 2: Algebra – Review Name:__________________ Unit 2 Review: Algebra 1. Identify each as a monomial, binomial, or trinomial 2. Identify the coefficient in each of the following. 3. Identify the like terms in each of the polynomials: a) −7 ! + 2 + 4 − 3 ! b) 2 ! − 3 + ! c) 2 ! − 7 − 6 ! d) 8 ! − 3 ! + 4 − 3 ! e) 8 ! − 3 ! + 7 − 3 ! − 10 4. Simplify each of the following expressions: 5. Simplify each of the following: 6. Evaluate each expression with the given value. 7. Ms. Marsh is trying to plan a math party for her class. It will cost her $107 for the decorations and $7 per student who attends for food. a) Write an expression for the total cost of the party. Be sure to declare your variables. b) In the equation you created identify the constant and the coefficient. What do they represent? c) What is the cost of throwing a party for 21 students? a) −7 ! + 2 + 4 b) 2 ! − 4 ! c) −7 − 6 d) − 8 ! e) 8 ! − 3 − 9 f) −10 a) −3 ! + 5 – ! – 6 b) 14 + 7 ! + 5 – 2 + 8 ! − 9p − 1 c) (4 ! – 2 + 5) + (3 ! + 7 − 6) d) 8 ! + 3 – 7 − (12 ! – 2 + 1) e) (−2 ! + 7 − 21) + (9 ! − 10 − 5) f) 3 ! − 5 + 9 − ( ! + 4 − 13) a) −7 ! b) 2 ! c) −7 d) − 8 ! e) 8 ! f) −10 a) 2 (3 ! + 4 − 5) b) −3 (7 – 9) c) (−8) (−6) d) 4 ( 3 − 1) e) 3(2 + 4) – 6(7 − 5) f) −2 3 ! − 7 + 4 8 + 5 − 9 a) −2 + 10 for = −6 b) 3 ! ℎ for ℎ = 4, = 2 c) 4 ! − 7 for = 5 d) − 2 for = 2, = 3
Transcript of Unit 2 Review: Algebra€¦ · Unit 2 Review: Algebra 1. Identify each as a monomial, binomial, or...
MFM1P–Unit2:Algebra–Review Name:__________________
Unit2Review:Algebra1. Identifyeachasamonomial,binomial,ortrinomial
2. Identifythecoefficientineachofthefollowing.
3. Identifytheliketermsineachofthepolynomials:
a)−7𝑎! + 2𝑎 + 4𝑎 − 3𝑎!
b)2𝑝! − 3 + 𝑝! c)2𝑦! − 7𝑦 − 6𝑦!
d)8𝑎! − 3𝑎! + 4𝑎 − 3𝑎! e)8𝑥𝑦! − 3𝑥𝑦! + 7− 3𝑥𝑦! − 10
4. Simplifyeachofthefollowingexpressions:
5. Simplifyeachofthefollowing:
6. Evaluateeachexpressionwiththegivenvalue.
7. Ms.Marshistryingtoplanamathpartyforherclass.Itwillcosther$107forthedecorationsand$7
perstudentwhoattendsforfood.a) Writeanexpressionforthetotalcostoftheparty.Besuretodeclareyourvariables.b) Intheequationyoucreatedidentifytheconstantandthecoefficient.Whatdotheyrepresent?c) Whatisthecostofthrowingapartyfor21students?
a) −7𝑎! + 2𝑎 + 4
b) 2𝑝! − 4𝑞! c) −7𝑦 − 6
d) − 8𝑥! e) 8𝑥𝑦! − 3𝑥𝑦 − 9 f) −10
a) −3𝑥! + 5𝑥 – 𝑥! – 6𝑥
b) 14+ 7𝑚! + 5 – 2𝑝 + 8𝑚! − 9p− 1
c) (4𝑤!– 2𝑤 + 5) + (3𝑤! + 7𝑤 − 6) d) 8𝑎! + 3𝑎 – 7 − (12𝑎! – 2𝑎 + 1)
e) (−2𝑏! + 7𝑏 − 21) + (9𝑏! − 10𝑏 − 5) f) 3𝑎! − 5𝑎 + 9 − (𝑎! + 4𝑎 − 13)
a) −7𝑎!
b) 2𝑝! c) −7𝑦
d) − 8𝑥! e) 8𝑥𝑦! f) −10𝑧
a) 2 (3𝑥! + 4𝑥 − 5) b) −3 (7𝑥 – 9)
c) (−8𝑥) (−6𝑥) d) 4𝑥 ( 3𝑥 − 1)
e) 3(2𝑥 + 4) – 6(7𝑥 − 5) f) −2 3𝑥! − 7 + 4𝑥 8𝑥 + 5 − 9𝑥
a) −2𝑎 + 10 for𝑎 = −6 b) 3𝑟!ℎ forℎ = 4, 𝑟 = 2
c) 4𝑤! − 7𝑤 for𝑤 = 5 d) 𝑥𝑦 − 2𝑥 for𝑥 = 2,𝑦 = 3
8. Ms.SheppardismakingcupcakesforMs.Marsh’sbirthday.TheequationforthetotalcostisrepresentedbyC=23+1.5nwhereCisthetotalcostandnisthenumberofcupcakesmade.
a) Whatdothe23and1.5representintheequation?b) Whatisthecostformaking62cupcakes?
9. Whatisthesimplifiedalgebraicexpressionforperimeterofthefollowingshapes:
10. Whatisthesimplifiedalgebraicexpressionforareaofthefollowingshapes:
Unit2ReviewAnswers
1. a)Trinomial b)Binomial c)Binomial d)Monomial e)Trinomial f)Monomial2. a)-7 b)2 c)-7 d)-8 e)8 f)-10 3. a)−7𝑎!,−3𝑎! & 2𝑎, 4𝑎b) 2𝑝!,𝑝!c)2𝑦!,−6𝑦!d)8𝑎!,−3𝑎! ,−3𝑎!
e)8𝑥𝑦!,−3𝑥𝑦! ,−3𝑥𝑦! & 7,−104. a)−4𝑥! − 𝑥b)15𝑚! − 11𝑝 + 18c)7𝑤! + 5𝑤 − 1d)−4𝑎! + 5𝑎 − 8
e)7𝑏! − 3𝑏 − 26f)2𝑎! − 𝑎 − 45. a)6𝑥! + 8𝑥 − 10 b)−21𝑥 + 27c)48𝑥!d)12𝑥! − 4𝑥e)−36𝑥 + 42f)26𝑥! + 11𝑥 + 146. a)22b)48c)65d)27. a)107+7nb)constant:107thisisthecostfordécor,coefficient:7thisisthecostperstudentforfood
c)$2548. a)$23isthebasecostMs.Sheppardhastopay,1.50isthecostpercupcakeb)$1169. a)10𝑥 + 16b)23𝑥c)33𝑏 − 810. a)15𝑥! + 25𝑥b)4𝑥! + 15𝑥 − 5
a) b)
a) b) c)
3x+5
5x
