SECONDARY MATH I // MODULE 4
SOLVING EQUATIONS AND INEQUALITIES – 4.1
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
4.1
READY Topic:Solutionstoanequation.Graphthefollowingequationsonthecoordinategrid.Determineifthegivenpointisasolutiontotheequation?1.! = 5! − 2
2.! = − !
! ! + 83.! = −! + 4
Point:(1,3)Yes?/No? Point:(0,7)Yes?/No? Point:(2,2)Yes?/No?4.! = ! + 2
5. ! = !
! ! − 7
6. ! = − !
! !
Point:(1,3)Yes?/No?
Point:(2,-2)Yes?/No?
Point:(2,-5)Yes?/No?
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READY, SET, GO! Name PeriodDate
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SECONDARY MATH I // MODULE 4
SOLVING EQUATIONS AND INEQUALITIES – 4.1
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
4.1
SET Topic:Solvelinearequationsusingparentheses.Determineifthetwoexpressionslistedareequivalent.Explainyourreasoning.7.!" − !! + ! !" − !! − ! 8.!! − !" ! !! − !
9. !!!! !! −!! 10. ! !!!
! !!! − !"
11.Withoutsolving,determineifthetwoequationsbelowhavethesamesolution.Explainwhyorwhynot?3 x − 5 = 35 and 3x − 5 = 35. 12.Circletheexpressionsthatareequivalent.
!! − !"!
!!! − !"
!! − !" !! − !
Solveforx.13.! !!!
! = !" 14.! !! − ! = !" 15.!!!!! = !"
GO
Topic:Determineifanumberisasolutiontoanequation.Indicatewhetherthegivenvalueisasolutiontothecorrespondingequation.Showyourwork.16. ! = −3; 4! + 3 = −9
Yes?/No?
17. ! = !! ;
!! ! +
!! =
!!
Yes?/No?
18. ! = 2; 2.5! − 10 = −0.5
Yes?/No?
19. ! = −5; 2 5 − 2! = 20 − 2(! − 1) Yes?/No?
20. ! = !! ; 4! = ! + !
!
Yes?/No?
21. ! = 5; 6! − 2 = 4 ! + 2
Yes?/No?
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