Math in Music: Algebra EOC Questions
Math in Music: Sample Related End-of-Course (EOC) Questions
These sample questions, selected from state end-of-course exams, cover the same algebraic concepts explored in the Math in Music lesson.
• American Diploma Project Algebra I EOC (NJ) Practice Test 2009
Question 43: Multiple Choice
Strand: O1.b – Use rates, ratios and proportions to solve problems, including measurement problems.
Convert 42 miles per hour to feet per second (to the nearest tenth).
A. 63.0 feet per second
B. 61.6 feet per second
C. 58.3 feet per second
D. 28.6 feet per second
(Solution: B)
• Achieve American Diploma Project Algebra I EOC Exam (NJ) Content Standards with Comments and Examples, January 2010
Question: ECR (Extended Constructed Response)
Strand: 01.b - Use rates, ratios and proportions to solve problems, including measurement problems.
There are 223 students in the freshman class, 168 in the sophomore class, 173 in the junior class and 138 in the senior class. The student council has 30 members, with these seats allocated based on the number of students in each class. How many student council members should each class have? Show or explain your work.
(Solution: May be solved using a proportion. Freshman = 10; Sophomore = 7; Junior = 7; Senior = 6)
(continued next page)
• Arkansas EOC Algebra I Released Test Questions 2010
Question 20: Multiple Choice
Strand 3 Linear Functions, Content Standard 3: Students will analyze functions by investigating rates of change, intercepts, and zeros.
Mary scored 13 points in the first 11 minutes of a 32-minute basketball game. If she continues to score at the same rate, approximately how many points will she score in this game?
A. 45
B. 38
C. 27
D. 25
(Solution: B)
• California Standards Test: Algebra I Released Test Questions 2008
Question 91: Multiple Choice
Reporting Cluster: Functions and Rational Expressions Reporting Cluster
Standard 15.0: Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.
Jena’s Vacation
|Miles Traveled |600 |450 |300 |960 |
|Gallons of Gasoline |20 |15 |10 |x |
Jena’s car averaged 30 miles per gallon of gasoline on her trip. What is the value of x in gallons of gasoline?
A. 32
B. 41
C. 55
D. 80
(Solution: A)
(continued next page)
• Massachusetts 2010 Spring Release, Mathematics - Grade 10
Question 39: Multiple-Choice
Reporting Category: Patterns, Relations, and Algebra
Standard: 10.P.7 - Solve everyday problems that can be modeled using linear, reciprocal, quadratic, or exponential functions. Apply appropriate tabular, graphical, or symbolic methods to the solution. Include compound interest, and direct and inverse variation problems. Use technology when appropriate. (AI.P.11)
Jan sets up tables and chairs for meetings. When she sets up 12 tables, she places 6 chairs at each table. Jan always sets up the same total number of chairs.
When she sets up 8 tables, what is the number of chairs that she places at each table?
A. 4
B. 9
C. 10
D. 16
(Solution: B)
• Massachusetts 2007 Spring Release, Mathematics - Grade 8
Question 24: Multiple-Choice
Reporting Category: Number Sense and Operations
Standard: 8.N.3 - Use ratios and proportions in the solution of problems, in particular, problems involving unit rates, scale factors, and rate of change.
Tuan answered 20 customer service calls in 3 hours. At this rate, how many customer service calls can Tuan answer in 7.5 hours?
A. 45
B. 50
C. 60
D. 80
(Solution: B)
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