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Grade 7

Multiplying Fractions 3

Directions: Find three fractions whose product is -3/16. You may use fractions between -1/9 to 1/9 no more than one time each. Find at least 2 possible combinations. Source: Al Oz

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Probability with Marbles

Directions: There are _____ red marbles and _____ blue marbles in Bag A. There are _____ red marbles and _____ green marbles in Bag B. Place a unique whole number from 1 to 9 in each blank to make the probability of drawing a red marble from either bag the same. Extension: Change the problem such that the number of …

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Probability with Spinners

Directions: Select three of the spinners from the image below (you may pick more than one of each) such that the total number of sectors in all three spinners totals 10. Select spinners so that the probability of all three spinners landing in the shaded sector is the smallest (or largest). Extension: How would the answer change if you could …

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Rational Number Computation

Directions: Using the numbers -5 to 5 at most once each, write an expression that will have the greatest (or least) absolute value. Source: Michael Wiernicki

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Two-Step Equations 3

Directions: Use the whole numbers 1 through 9 only one time each to find the largest (or smallest) possible values for the sum of x and y. Source: Erick Lee

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The Triangle Inequality

Directions: Use the digits 1 through 10 (without repeating any number) to complete the scenarios below: Source: Shaun Errichiello

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Two-Step Equations 2

Directions:  Use the whole numbers 1 through 9 only one time each to find the largest (or smallest) possible values for x. Source:  Chase Orton and Mark Goldstein

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Exploring Equations

Directions:  For each problem below, use four of the whole numbers 1 through 9 no more than one time each to find the the greatest value for x that you can.   Source:  Chase Orton and Mark Goldstein

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