Directions: Fill in the boxes below using the digits 0 through 9 at most one time each to make the statement true.

Could one of the numbers in the first space be 1? 5? Why or why not?

Are there any limits on the size of the sum in parentheses?

Possible answers:

3(6 + 9) = 18 + 27 = 45

6(3 + 9) = 18 + 54 = 72

9(3 + 6) = 27 + 54 = 81

3(6 + 9) = 18 + 27 = 45

6(3 + 9) = 18 + 54 = 72

9(3 + 6) = 27 + 54 = 81

Source: Julie Wright

]]>Directions: Use non-zero whole numbers 1 to 30, at most once time each, to create a system of two linear equations where (3, 2) is the solution to the system.

What does it mean to be the solution to a system of linear equations?

Many possible correct responses. For example:

3x + 5y = 19

4x + 1y = 14 or https://www.desmos.com/calculator/nolpnamc24

Source: Daniel Luevanos

]]>Directions: Use the digits 0 to 9, at most one time each, to fill in the boxes to to make a result that is as close to zero as possible.

What happens when you have a negative exponent?

Where does the 1 go?

Where does the 1 go?

So far, there are two answers that have a result of 1/64.

8 ^ (-2) = 1 / 64

4 ^ (-3) = 1 / 64

Source: Daniel Luevanos

]]>Directions: Use the digits 0 to 9, at most one time each, to fill in the boxes to make a true statement.

What happens when you have negative exponent?

Where does the 1 go?

Where does the 1 go?

There are multiple answers such as:

3^ (-2) = 1 / 09

7 ^ (-2) = 1 / 49

8 ^ (-2) = 1 / 64

2 ^ (-3) = 1 / 08

4 ^ (-3) = 1 / 64

Source: Daniel Luevanos

]]>Directions: Using the digits 0 through 9 at most one time, fill in the boxes to make the sum of the interior angles of a triangle.

What is the sum of the interior angle of a triangle?

Multiple answers. Possible answers: 67 + 89 + 24; 80 + 74 + 26

Source: Ashley Henderson

]]>Directions: Using the whole numbers 0 through 9, no more than once, fill in the following boxes to make one function have no real roots, another function to have one real root and the last function have two real roots.

How do you know that a quadratic equation has only one solution?

There is more than one answer. Here are some possibilities:

a) y = 5x^2 + 3x + 7

b) y = 1x^2 + 6x + 9

c) y = 4x^2 + 8x + 2

a) y = 5x^2 + 3x + 7

b) y = 1x^2 + 6x + 9

c) y = 4x^2 + 8x + 2

Click on this link to see another possibility: Discriminant

Source: Lynda Chung

]]>Directions: Use the digits 1-9 each once to make a the largest possible sum.

What assumptions are we making about the fractions we are able to use? Do fractions have to be in lowest terms? How can we figure out if we want the larger numbers to be part of the addends or sum?

Coming soon?

Source: Robert Kaplinsky and Ellen Metzger

]]>Directions: Use the digits 1-9 each once to make a true statement.

What assumptions are we making about the fractions we are able to use? Do fractions have to be in lowest terms?

2 4/8 + 7 1/3 = 9 5/6

7 4/8 + 2 1/3 = 9 5/6

7 4/8 + 2 1/3 = 9 5/6

Source: Ellen Metzger

]]>Directions: Create 5 ordered pairs using the whole digits 0 – 9 exactly one time each. Then, create a linear inequality such that:

1. Two of the ordered pairs are solutions to the linear inequality.

2. Two of the ordered pairs are not solutions to the linear inequality.

3. One of the ordered pairs is on the boundary line but not a solution to the linear inequality.

How can you tell if an ordered pair is a solution (or not a solution) for the linear inequality?

When can an ordered pair be on the boundary line but not a solution?

There are many answers that could work as long as:

(1.) Two of the ordered pairs are in the boundary region or solutions to the linear inequality

(2.) Two of the ordered pairs are not in the boundary region or not solutions to the linear inequality

(3.) The inequality is either less than or greater than but not or equal to. Click on this link to see one possibility:Linear Inequalities in Two Variables

Source: Daniel Luevanos

]]>Directions: Using the digits 1 through 9, at most one each time, fill in the boxes to make the statement true.

How do we add fractions? If we want to get the closest to 10, what does that mean for each of the fractions?

So far, this is the closest answer: 1/2 + 46/5 = 9.7

Source: Nanette Johnson, based on Giselle Garcia’s problem

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