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S.A.T. Math Testing Tactics

S.A.T. Math Testing Tactics. Tactic 16: Handle Strange Symbols Properly. Strange Symbols. On the S.A.T. you will encounter problems with strange symbols and instructions on how to evaluate them.

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S.A.T. Math Testing Tactics

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  1. S.A.T. Math Testing Tactics Tactic 16: Handle Strange Symbols Properly

  2. Strange Symbols • On the S.A.T. you will encounter problems with strange symbols and instructions on how to evaluate them. • These problems are designed to test your ability to read, understand, and apply a mathematical pattern or algorithm. • Follow the instructions carefully!!!

  3. Example 16.1 • If a ☺b = , what is the value of 25☺15 ? Obviously, our “a” is 25 and our “b” is 15. Substitute these into the equation and evaluate. 25☺15 = 4

  4. Example 16.2 For any numbers x and y, x▼y = xy – (x + y) a) Find -2▼3 We can see that our “x” is -2 and our “y” is 3. Substitute these values in and evaluate. -2▼3 = (-2)(3) – (-2 +3) = -6 – 1 = -7 -7

  5. Example 16.2 For any numbers x and y, x▼y = xy – (x + y) b) For what value of x does x▼5=x▼10? Set up each side of this equation using our strange symbol rule. On the left side, our “y” is 5. On the right side, our “y” is 10. x(5) –(x+5) = x(10) – (x +10) 5x – x – 5 = 10x – x – 10 4x – 5 = 9x – 10 1 5 = 5x 1 = x

  6. Example 16.2 For any numbers x and y, x▼y = xy – (x + y) How many positive numbers are the solutions of the equation: y ▼ y = y ? A) None B) 1 C) 2 D) 3 E) More than 3 Set up the left side of the equation using our rule. The “x” will be y. y(y) –(y + y) = y 0 is not positive or negative 3 is positive y2 – 2y = y y2 – 3y = 0 B y(y – 3) =0 y = 0 or y = 3

  7. Example 16.3 • For any real number c and d, c♥d = cd + dc . What is the value of 1♥ (2 ♥ 3) ? Since there are two special characters in this expression, we need to follow the order of operations. So, complete the computation inside parenthesis first. 1♥ (2 ♥ 3) 1♥ (23+ 32 ) 1♥ (8 + 9) 1♥ 17 117+ 171 18 1 + 17 18

  8. In Conclusion When you see a strange symbol, don’t worry! Just follow the instructions provided very carefully and evaluate using familiar mathematical skills.

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