Teacher Resource
Mathematics Sample Task: High School Integrated Algebra - Algebra Strand (A.A.40b)
Course, Subject
Integrated Algebra, Mathematics, Math, Science & Technology
Grade Levels
Commencement, 9th Grade, 10th Grade, 11th Grade, 12th Grade
Description
Sample Tasks for Integrated Algebra, developed by New York State teachers, are clarifications, further explaining the language and intent of the associated Performance Indicators. These tasks are not test items, nor are they meant for students' use.
Resource
A.A.40b: Paolo has exactly $12 to spend on snacks at the movie theater. He buys at least one bottle of water and some candy bars. His brother, Hector, has $6 and buys only candy bars, the same number as Paolo. Bottles of water are $2.50 and candy bars are $3.00 each. The following system of inequalities represents what each boy could buy, with x = bottles of water and y = candy bars:
2.5x + 3y ≤ 12
3y ≤ 6
Without combining their money, could the boys have bought a total of two bottles of water and five candy bars? Justify your answer.
Content Provider
From the New York State Education Department. [Table of contents: Mathematics Toolkit.] Internet. Available from [http://www.p12.nysed.gov/ciai/mst/math/sampletasks/home.html]; accessed [28 January 2013].
