SECONDARY MATH I // MODULE 1
SEQUENCES – 1.1
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
1.1
READY
Topic:RecognizingSolutionstoEquations
Thesolutiontoanequationisthevalueofthevariablethatmakestheequationtrue.Intheequation
9! + 17 = −21, "a”isthevariable.Whena=2,9! + 17 ≠ −19, because 9 2 + 17 = 35. Thus! = 2 is NOT a solution.However,when! = −4, the equation is true 9 −4 + 17 = −19.Therefore,! = −4mustbethesolution.Identifywhichofthe3possiblenumbersisthesolutiontotheequation.
1.3! + 7 = 13 (! = −2; ! = 2; ! = 5) 2.8 − 2! = −2 (! = −3; ! = 0; ! = 5)
3.5 + 4! + 8 = 1 (! = −3;! = −1;! = 2) 4.6! − 5 + 5! = 105 (! = 4; ! = 7; ! = 10)
Someequationshavetwovariables.Youmayrecallseeinganequationwrittenlikethefollowing:
! = 5! + 2.Wecanletxequalanumberandthenworktheproblemwiththisx-valuetodeterminetheassociatedy-value.Asolutiontotheequationmustincludeboththex-valueandthey-value.Oftenthe
answeriswrittenasanorderedpair.Thex-valueisalwaysfirst.Example: !, ! .Theordermatters!
Determinethey-valueofeachorderedpairbasedonthegivenx-value.
5.! = 6! − 15; 8, , −1, , 5, 6.! = −4! + 9; −5, , 2, , 4,
7.! = 2! − 1; −4, , 0, , 7, 8.! = −! + 9; −9, , 1, , 5,
READY, SET, GO! Name PeriodDate
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SECONDARY MATH I // MODULE 1
SEQUENCES – 1.1
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
1.1
SET
Topic:Usingaconstantrateofchangetocompleteatableofvalues
Fillinthetable.Thenwriteasentenceexplaininghowyoufiguredoutthevaluestoputineachcell.9.Yourunabusinessmakingbirdhouses.Youspend$600tostartyourbusiness,anditcostsyou$5.00
tomakeeachbirdhouse.
#ofbirdhouses 1 2 3 4 5 6 7
Totalcosttobuild
Explanation:
10.Youmakea$15paymentonyourloanof$500attheendofeachmonth.
#ofmonths 1 2 3 4 5 6 7
Amountofmoneyowed
Explanation:
11.Youdeposit$10inasavingsaccountattheendofeachweek.
#ofweeks 1 2 3 4 5 6 7
Amountofmoneysaved
Explanation:
12.Youaresavingforabikeandcansave$10perweek.Youhave$25whenyoubeginsaving.
#ofweeks 1 2 3 4 5 6 7
Amountofmoneysaved
Explanation:
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SECONDARY MATH I // MODULE 1
SEQUENCES – 1.1
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
1.1
GO
Topic:GraphLinearEquationsGivenaTableofValues.
Graphtheorderedpairsfromthetablesonthegivengraphs.
13.
! !
0 3
2 7
3 9
5 13
14.
! !
0 14
4 10
7 7
9 5
15.
! !
2 11
4 10
6 9
8 8
16.
! !
1 4
2 7
3 10
4 13
5
