Science Quiz / Algebraic morsels

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Can you name the answers to these problems from first-year algebra/pre-algebra?

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Of 2^2, -2^2, (-2)^2, 2^(-2), -2^(-2), and (-2)^(-2), find the sum of the numbers of positive numbers, negative numbers, integers, and real numbers.
Jason has 10 coins in total. He has only quarters and dimes. The total value of the coins is $2.20. How many dimes does Jason have?
Find the discriminant of 4x^2 - 5x + 3 = 0.
Find (1+2)(3+4)÷5+6 as an improper fraction or decimal.
Let x be the greatest real solution of |x^2-16|=9. Find x^x / x.
When the repeating decimal 0.242424... is expressed as a fraction, find the sum of the numerator and denominator if they are coprime.
The sum of the squares of two positive numbers is 58 and their product is 21. Find their sum.
Find the coefficient of the x^2 term in the expansion of 6(x+1)(x+2)(x+3)
If 32*sqrt(1 + sqrt(1 + sqrt(1 + ... ))) is expressed in the form a + b sqrt( c ), find a + b + c.
Compute the sum of the first 6 terms of the Fibonacci sequence.
Give the word describing the proper subset of the real numbers for which the identity sqrt(a^2) = a is false.
Name the property that states that order of addition does not matter.
The sum of the distances from any point P in the set L to (-3, 0) and to (3, 0) is equal to 10. Find the greatest possible ordinate (y-coordinate) of a point in L.

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