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Understanding the 2003 AIME Problem

Understanding the 2003 AIME Problem

Assessment

Interactive Video

Mathematics

7th - 12th Grade

Practice Problem

Hard

CCSS
6.EE.A.2C, 7.NS.A.2A, HSA.CED.A.3

+3

Standards-aligned

Created by

Lucas Foster

Used 1+ times

FREE Resource

Standards-aligned

CCSS.6.EE.A.2C
,
CCSS.7.NS.A.2A
,
CCSS.HSA.CED.A.3
CCSS.7.NS.A.1B
,
CCSS.8.EE.C.7B
,
CCSS.7.NS.A.2B
,
The video tutorial addresses a problem from the 2003 AIME exam, focusing on three positive integers whose product is six times their sum, with one integer being the sum of the other two. The instructor defines variables, sets up equations, and simplifies the problem to find possible integer values. The process involves algebraic manipulation and verification of solutions, leading to the calculation of the sum of all possible values of N, which is 336.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does AIME stand for?

American Invitational Mathematics Exam

Association of International Math Experts

American Institute of Math Education

Advanced International Math Examination

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the integers a, b, and c?

a + b = c

a * b = c

a = b + c

a * c = b

Tags

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation is derived from the given conditions?

a + b + c = 12

a * b = 12

a + b = 12

a * b * c = 12

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a = 1 and b = 12, what is the value of c?

11

12

13

14

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the product of the integers when a = 2 and b = 6?

96

84

156

72

Tags

CCSS.7.NS.A.1B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sum of the integers when a = 3 and b = 4?

10

9

8

7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't the values of a and b be greater than 12?

They would be zero

They would not be integers

They would not satisfy the equation

They would be negative

Tags

CCSS.6.EE.A.2C

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