Aim: How do we model with mathematics?...lb” bags. 9) At the Brooks Graphic Company, the average...
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©5 k2U0D1H3e RK3uStHaO 0SXoHfBt1wIajrdeW 9L6LuCZ.Y v 0ABlLlN wrBiogThct5sk oroe9sXeyr1v7eIdp.C N xMSaLdCe1 0wUiqtQhT SICnjfIiRn7iItKeB sAcljgtexbDrCaB e2d.9 Worksheet by Kuta Software LLC Unit 1: Review Algebra 1 Name___________________________________ Section____ Date________________ ©s 02i0i1a37 TKGuRtza8 mS4o3fqtuwAagrZeG QLCLkCH.2 8 jAllflO 9rSiNgdhWtosM 8rnevsreMrZvAeCdp.b Aim: How do we model with mathematics? GET READY: Solve each inequality and write its solution using interval or inequality notation. 1) 5 9 x + 10 − 6 ≤ 44 −5 −4 −3 −2 −1 0 1 2 3 2) −1 − 4 4 + 9v < −17 −5 −4 −3 −2 −1 0 1 2 3 4 5 3) CLASS NOTES: Modeling using mathematics Example: On your basketball team, the starting players' scoring averages are between 8 and 22 points per game. Write an absolute-value inequality describing the scoring averages for the players. 4) A company that makes golf balls needs to ship bags of balls that contain 690 balls, plus or minus six balls. Write an absolute value inequality that expresses the acceptable number of balls in each bag. 5) Admission into a secret society requires that the applicant be between the ages of 32 and 46. Write an inequality that can be used to determine whether an applicants age, D, satisfies the requirements for the society. -1-
Transcript of Aim: How do we model with mathematics?...lb” bags. 9) At the Brooks Graphic Company, the average...
©5 k2U0D1H3e RK3uStHaO 0SXoHfBt1wIajrdeW 9L6LuCZ.Y v 0ABlLlN wrBiogThct5sk oroe9sXeyr1v7eIdp.C N xMSaLdCe1 0wUiqtQhT SICnjfIiRn7iItKeB sAcljgtexbDrCaB e2d.9 Worksheet by Kuta Software LLC
Unit 1: Review Algebra 1 Name___________________________________
Section____Date________________©s 02i0i1a37 TKGuRtza8 mS4o3fqtuwAagrZeG QLCLkCH.2 8 jAllflO 9rSiNgdhWtosM 8rnevsreMrZvAeCdp.bAim: How do we model with mathematics?GET READY: Solve each inequality and write its solution using interval or inequality notation.
1)
5
9
x + 10 − 6 ≤ 44
−5 −4 −3 −2 −1 0 1 2 3
2)
−1 −
4
4 + 9
v < −17
−5 −4 −3 −2 −1 0 1 2 3 4 5
3) CLASS NOTES: Modeling using mathematics Example:On your basketball team, the starting players' scoring averages are between 8 and 22 points per game. Write an absolute-value inequality describing the scoring averages for the players.
4) A company that makes golf balls needs to shipbags of balls that contain 690 balls, plus orminus six balls. Write an absolute valueinequality that expresses the acceptable numberof balls in each bag.
5) Admission into a secret society requires that theapplicant be between the ages of 32 and 46. Write an inequality that can be used todetermine whether an applicants age,
D,satisfies the requirements for the society.
-1-
©r N2K0G1V3N 3Knu2tRac mScolfrt2whaJrPeq kLyLWCm.0 E bA4ldlI irsiBg2h9tNsH ZrLeUsYe8rgvde0dR.d A KMJaydKeP AwliWtqhm fIxnmfaimnSidtIei NA9lCgoeDbPrVag j2C.Y Worksheet by Kuta Software LLC
6) A manufacturer has a 0.6oz tolerance for abottle of salad dressing advertised as 16oz. Write and solve an absolute value inequalitythat describes the acceptable volumes for“16oz” bottles.
7) A city ordinance states that pools must beenclosed by a fence that is from 3 to 6 ft high. Write an absolute value inequality describingfences that DON'T meet this ordinance.
8) A manufacturer has a tolerance of 0.36 lb for abag of potting soil advertised as 9.6 lb. Writeand solve an absolute value inequality thatdescribes UNACCEPTABLE weights for “9.6lb” bags.
9) At the Brooks Graphic Company, the averagestarting salary for a new graphic designer is$37,600, but the actual salary could differ fromthe average by as much $2590. Write anabsolute value inequality to describe thissituation.
10) Your car averages 28 miles per gallon in thecity. The actual mileage varies from theaverage by at most 4 miles per gallon. Writeand solve absolute-value inequality that showsthe range for the mileage your car gets.
11) A survey showed that people either spent lessthan $300, or more than $500 on presents. Write an absolute value inequality describingthe range of money spent.
12) SAT QUESTION: If
3
x + 6 = 12 and
−2
y + 8 = 30, what is the smallest possible value of xy?
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