few_shots: 
Example:
Problem/activity:
Problem 1
The table below contains single equations in a single variable, single equations in two variables, and pairs of simultaneous equations in two variables. Check the appropriate box to show whether there is no solution, exactly 1 solution, or if there is an infinite number of solutions.
{"table": [{"_attributes": {"align": "center", "class": ["table", "table-bordered"], "style": "table-layout:fixed; width:70%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "No solution"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Exactly 1 solution"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Infinite number of solutions"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${9=4x+7}$$"}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${y=3y+5}$$"}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${y={x\\over2}}$$"}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"p": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${3x+6y-9=0}$$"}]}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"p": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${x=y}$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${1.25x=1.25y}$$"}]}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"p": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${9.9=6x+8y}$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${9x=2.5y-8.8}$$"}]}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}]}, {"td": [{"p": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${11x-2y=1.5}$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${11x-2y=2.5}$$"}]}]}, {"_attributes": {"style": "text-align:center"}}, {"_attributes": {"style": "text-align:center"}}, {}]}]}]}]}
Problem 2
Kim has a small container and a large container as shown.
[IMG]
It takes 16 of the small containers to fill the large container. Three small containers leave 1.95 gallons of space in the big container.
What is the size of each of the two containers?


Description: 
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

Answer: 
No. Completing neither of these problems requires replacing one equation by the sum of that equation and a multiple of the other equation.

Now, assess whether the following problem or activity aligns with the provided description.

shot_info: fl_problem_001392_neg_0

8
standard_description: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.
problem_activity: Problem 1
Sondra says
$$3\times223=696$$
. Use what you know about the product of two odd numbers to explain why Sondra is wrong.
Problem 2
Explain two ways you could find the next number in the highlighted diagonal below. You don’t need to actually compute it!
{"table": [{"_attributes": {"border": "1", "cellpadding": "1", "cellspacing": "1", "class": ["table", "table-bordered"], "style": "width:100%;"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "strong": [{"_value": "\u00d7"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "1"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "2"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "3"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "4"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "5"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "6"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "7"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "8"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "9"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "10"}]}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "1"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "_value": "1"}, {"_attributes": {"style": "text-align: center;"}, "_value": "2"}, {"_attributes": {"style": "text-align: center;"}, "_value": "3"}, {"_attributes": {"style": "text-align: center;"}, "_value": "4"}, {"_attributes": {"style": "text-align: center;"}, "_value": "5"}, {"_attributes": {"style": "text-align: center;"}, "_value": "6"}, {"_attributes": {"style": "text-align: center;"}, "_value": "7"}, {"_attributes": {"style": "text-align: center;"}, "_value": "8"}, {"_attributes": {"style": "text-align: center;"}, "_value": "9"}, {"_attributes": {"style": "text-align: center;"}, "_value": "10"}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "b": [{"_value": "2"}]}, {"_attributes": {"style": "text-align: center;"}, "_value": "2"}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "_value": "4"}, {"_attributes": {"style": "text-align: center;"}, "_value": "6"}, {"_attributes": {"style": "text-align: center;"}, "_value": "8"}, {"_attributes": {"style": "text-align: center;"}, "_value": "10"}, {"_attributes": {"style": "text-align: center;"}, "_value": "12"}, {"_attributes": {"style": "text-align: center;"}, "_value": "14"}, {"_attributes": {"style": "text-align: center;"}, "_value": "16"}, {"_attributes": {"style": "text-align: center;"}, "_value": "18"}, {"_attributes": {"style": "text-align: center;"}, "_value": "20"}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "3"}]}, {"_attributes": {"style": "text-align: center;"}, "_value": "3"}, {"_attributes": {"style": "text-align: center;"}, "_value": "6"}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "_value": "9"}, {"_attributes": {"style": "text-align: center;"}, "_value": "12"}, {"_attributes": {"style": "text-align: center;"}, "_value": "15"}, {"_attributes": {"style": "text-align: center;"}, "_value": "18"}, {"_attributes": {"style": "text-align: center;"}, "_value": "21"}, {"_attributes": {"style": "text-align: center;"}, "_value": "24"}, {"_attributes": {"style": "text-align: center;"}, "_value": "27"}, {"_attributes": {"style": "text-align: center;"}, "_value": "30"}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "4"}]}, {"_attributes": {"style": "text-align: center;"}, "_value": "4"}, {"_attributes": {"style": "text-align: center;"}, "_value": "8"}, {"_attributes": {"style": "text-align: center;"}, "_value": "12"}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "_value": "16"}, {"_attributes": {"style": "text-align: center;"}, "_value": "20"}, {"_attributes": {"style": "text-align: center;"}, "_value": "24"}, {"_attributes": {"style": "text-align: center;"}, "_value": "28"}, {"_attributes": {"style": "text-align: center;"}, "_value": "32"}, {"_attributes": {"style": "text-align: center;"}, "_value": "36"}, {"_attributes": {"style": "text-align: center;"}, "_value": "40"}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "5"}]}, {"_attributes": {"style": "text-align: center;"}, "_value": "5"}, {"_attributes": {"style": "text-align: center;"}, "_value": "10"}, {"_attributes": {"style": "text-align: center;"}, "_value": "15"}, {"_attributes": {"style": "text-align: center;"}, "_value": "20"}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "_value": "25"}, {"_attributes": {"style": "text-align: center;"}, "_value": "30"}, {"_attributes": {"style": "text-align: center;"}, "_value": "35"}, {"_attributes": {"style": "text-align: center;"}, "_value": "40"}, {"_attributes": {"style": "text-align: center;"}, "_value": "45"}, {"_attributes": {"style": "text-align: center;"}, "_value": "50"}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "6"}]}, {"_attributes": {"style": "text-align: center;"}, "_value": "6"}, {"_attributes": {"style": "text-align: center;"}, "_value": "12"}, {"_attributes": {"style": "text-align: center;"}, "_value": "18"}, {"_attributes": {"style": "text-align: center;"}, "_value": "24"}, {"_attributes": {"style": "text-align: center;"}, "_value": "30"}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "_value": "36"}, {"_attributes": {"style": "text-align: center;"}, "_value": "42"}, {"_attributes": {"style": "text-align: center;"}, "_value": "48"}, {"_attributes": {"style": "text-align: center;"}, "_value": "54"}, {"_attributes": {"style": "text-align: center;"}, "_value": "60"}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "7"}]}, {"_attributes": {"style": "text-align: center;"}, "_value": "7"}, {"_attributes": {"style": "text-align: center;"}, "_value": "14"}, {"_attributes": {"style": "text-align: center;"}, "_value": "21"}, {"_attributes": {"style": "text-align: center;"}, "_value": "28"}, {"_attributes": {"style": "text-align: center;"}, "_value": "35"}, {"_attributes": {"style": "text-align: center;"}, "_value": "42"}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "_value": "49"}, {"_attributes": {"style": "text-align: center;"}, "_value": "56"}, {"_attributes": {"style": "text-align: center;"}, "_value": "63"}, {"_attributes": {"style": "text-align: center;"}, "_value": "70"}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "8"}]}, {"_attributes": {"style": "text-align: center;"}, "_value": "8"}, {"_attributes": {"style": "text-align: center;"}, "_value": "16"}, {"_attributes": {"style": "text-align: center;"}, "_value": "24"}, {"_attributes": {"style": "text-align: center;"}, "_value": "32"}, {"_attributes": {"style": "text-align: center;"}, "_value": "40"}, {"_attributes": {"style": "text-align: center;"}, "_value": "48"}, {"_attributes": {"style": "text-align: center;"}, "_value": "56"}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "_value": "64"}, {"_attributes": {"style": "text-align: center;"}, "_value": "72"}, {"_attributes": {"style": "text-align: center;"}, "_value": "80"}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "9"}]}, {"_attributes": {"style": "text-align: center;"}, "_value": "9"}, {"_attributes": {"style": "text-align: center;"}, "_value": "18"}, {"_attributes": {"style": "text-align: center;"}, "_value": "27"}, {"_attributes": {"style": "text-align: center;"}, "_value": "36"}, {"_attributes": {"style": "text-align: center;"}, "_value": "45"}, {"_attributes": {"style": "text-align: center;"}, "_value": "54"}, {"_attributes": {"style": "text-align: center;"}, "_value": "63"}, {"_attributes": {"style": "text-align: center;"}, "_value": "72"}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "_value": "81"}, {"_attributes": {"style": "text-align: center;"}, "_value": "90"}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "10"}]}, {"_attributes": {"style": "text-align: center;"}, "_value": "10"}, {"_attributes": {"style": "text-align: center;"}, "_value": "20"}, {"_attributes": {"style": "text-align: center;"}, "_value": "30"}, {"_attributes": {"style": "text-align: center;"}, "_value": "40"}, {"_attributes": {"style": "text-align: center;"}, "_value": "50"}, {"_attributes": {"style": "text-align: center;"}, "_value": "60"}, {"_attributes": {"style": "text-align: center;"}, "_value": "70"}, {"_attributes": {"style": "text-align: center;"}, "_value": "80"}, {"_attributes": {"style": "text-align: center;"}, "_value": "90"}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}, "_value": "100"}, {"_attributes": {"style": "text-align: center;"}}]}, {"td": [{"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "text-align: center;"}}, {"_attributes": {"style": "background-color:#eeeeee; text-align: center;"}}]}]}]}]}


aligns: yes