Linear equations, simultaneous equations and basic identities.
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Q1 · Algebra · EASY
If 3x + 7 = 25, then what is the value of x?
Q2 · Algebra · MEDIUM
Two numbers are in the ratio 3:5. If 9 is added to each number, the ratio becomes 12:17. What is the smaller number?
Q3 · Algebra · HARD
If (x + 1/x) = 5, then what is the value of (x^2 + 1/x^2)?
Q4 · Algebra · MEDIUM
If x + 1/x = 5, then what is the value of x² + 1/x²?
Q5 · Algebra · EASY
The sum of two numbers is 48 and their difference is 12. What is the larger number?