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(Unlimited Practice) SAT Math: Common Math Tricks

 
What is the average of a and b if a^2-b^2 is -45 and a-b is -5?
What is the value of (x + y)^2 if x^2 + y^2 = 41 and xy = 20?
If -2c + 3d = -1 and 7c+2d = 16, what is the value of 3c+3d?
What is the average of r and t if r^2-t^2 is 3 and r-t is 1?
What is the average of a and b if a^2-b^2 is -21 and a-b is -3?
If 2u + 4v = 22 and 5u+3v = 27, what is the value of 2u+2v?

 

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