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* add and subtract
#+name: add-sub-1
| weight | order | template | descr |
|--------+-------+--------------------------------------+-----------------------------------------|
| 3 | 1 | [1..10] + [0..10] | simple |
| 2 | 2 | [1..10] + [8..15] | second number bigger |
| 1 | 2 | [a=3..10] - [0..$a] | subtraction |
| 1 | 3 | [1..10] + [1..7] + [1..5] | three numbers |
| 1 | 4 | [a=1..10] + [0..10] - [0..$a] | three with subtraction, positive result |
| 0 | 0 | [$a*[1..5]] / [a=1..10] | division |
| 5 | 5 | [a=1..10] + [b=0..10] - [0..($a+$b)] | three with subtraction, positive result |
#+BEGIN: problem-set :templates "add-sub-1" :count 24 :prob-cols 3 :instruction "Compute the answer"
| problem | answer |
|------------+--------|
| 5 + 6 | 11 |
| 1 + 5 | 6 |
| 4 + 7 | 11 |
| 7 + 1 | 8 |
| 5 + 4 | 9 |
| 9 + 1 | 10 |
| 5 - 4 | 1 |
| 3 + 13 | 16 |
| 7 + 8 | 15 |
| 9 + 12 | 21 |
| 4 + 9 | 13 |
| 8 - 5 | 3 |
| 8 + 5 + 4 | 17 |
| 6 + 6 + 3 | 15 |
| 7 + 9 - 1 | 15 |
| 3 + 2 - 0 | 5 |
| 8 + 7 - 4 | 11 |
| 5 + 4 - 7 | 2 |
| 2 + 9 - 6 | 5 |
| 1 + 3 - 0 | 4 |
| 9 + 5 - 3 | 11 |
| 7 + 8 - 12 | 3 |
| 8 + 4 - 7 | 5 |
| 8 + 2 - 8 | 2 |
#+END:
* algebra
#+name: algebra-1
| weight | order | template | descr |
|--------+-------+---------------------------------------+-----------------------|
| 3 | 1 | x / ([2..4] + [a=0..5]) = [$a..10] | simple |
| 2 | 2 | [$a*[2..10]] / x = [a=1,2,4] | simple |
| 2 | 3 | x/[-5..-1,1..5] + [1..10] = [-10..10] | double range sequence |
| 1 | 3 | x = x/[a=2..6] + [round([1..20]/$a)] | var twice |
| 1 | 3 | x^2 = sqrt([16 - $a] + [a=1..5]) | sqrt |
#+BEGIN: problem-set :templates "algebra-1" :count 8 :prob-cols 2 :instruction "Solve for x"
| problem | answer |
|--------------------+---------|
| x / (3 + 4) = 5 | x = 35 |
| x / (2 + 4) = 7 | x = 42 |
| 9 / x = 1 | x = 9 |
| 12 / x = 2 | x = 6 |
| x^2 = sqrt(13 + 3) | x = 2 |
| x/3 + 6 = -8 | x = -42 |
| x = x/5 + 0 | x = 0 |
| x/-2 + 9 = 4 | x = 10 |
#+END:
|
