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Algebra I

Seven Congruent Rectangles

October 30, 2016 at 6:48am by huggins.5@osu.edu

You see a rectangle that has been made by putting seven congruent rectangles together. The perimeter of the large rectangle is 114 cm. What is its area?

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Posted in Algebra I, Set 17 Tagged Rich Math Problems Leave a comment

People Triangle: Like, Dislike

October 30, 2016 at 6:48am by huggins.5@osu.edu

Six people who all know each other are in a room. Every two people either like each other or dislike each other. Show that there is a group of three people who either all like each other or all dislike each other.

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Posted in Algebra I, Set 16 Tagged Rich Math Problems Leave a comment

Defined Operations 2; Do Composition

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

If 3 h = 10, 7 h = 50, 5 h = 26; and 4 b = 1, 7 b = 2.5, 20 b = 9, then what is n
if n hb = 17.5?

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Posted in Algebra I, Identifying Patterns, Quantitative Reasoning, Set 08 Tagged Rich Math Problems Leave a comment

Salary = f(n students)

October 30, 2016 at 6:47am by huggins.5@osu.edu

Many years ago a teacher’s salary was based on the number of students he had. Suppose a salary of $60 per month was to be paid for 50 students and $50 a month for 30 students. If the actual enrollment was 45 students, what should the teacher be paid?

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Posted in Algebra I, Set 09 Tagged Rich Math Problems Leave a comment

Given Graphs,Find |f – g|

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

Suppose that the functions f(x) and g(x) have the following graphs:

Find the graph which most resembles the graph of |f(x) – g(x)|.

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Posted in Algebra I, Identifying Patterns, Set 17 Tagged Rich Math Problems Leave a comment

Defined Operation; Find Formula

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

If 4 → 3, 10 → 6, 7 → 4.5, then what is the formula for x → ?

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Posted in Algebra I, Identifying Patterns, Quantitative Reasoning, Set 03 Tagged Rich Math Problems Leave a comment

Defined Operation; Do Inverse

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

Suppose a linear operation �/� is defined so that:

5 / = 11;

8 / = 17;

12 / = 25.

What is n if n / = 35?

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Posted in Algebra I, Identifying Patterns, Quantitative Reasoning, Set 04 Tagged Rich Math Problems Leave a comment

Defined Operations 1; Do Composition

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

Suppose the operations “#” and “t” are defined so that:

6 # = 20; 2 # = 4; 10 # = 36; and 5 t = 4.5; 10 t = 7; 8 t = 6.

Then what is n if 3 # # t = n?

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Posted in Algebra I, Identifying Patterns, Quantitative Reasoning, Set 05 Tagged Rich Math Problems Leave a comment

Kite Strings

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

Buzz has three kite strings averaging 6600 feet in length. None is less than 6200 feet long. How long can the longest be?

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Posted in Algebra I, Puzzles, Riddles, and Systematic Thinking, Quantitative Reasoning, Set 10 Tagged Rich Math Problems Leave a comment

Pet Rocks

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

The town of Ware has exactly 5000 families. Every family has 0, 1, or 2 pet rocks. Every pet rock belongs to a family. Most families have 1 pet rock. Exactly half of the remaining families have 2 pet rocks. How many pet rocks are there in Ware?

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Posted in Algebra I, Quantitative Reasoning, Set 01 Tagged Rich Math Problems Leave a comment

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