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review of math topics for the sat phần 2

Tham khảo tài liệu 'review of math topics for the sat phần 2', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 3 6 since we now have 3 orange candies and a total of 6 candies left . So the probability of withdrawing two orange candies in a row is 4 x 3_ 12 2 7 6 42 7 I. EXPONENTS AND RADICALS 1. Multiplying and Dividing Powers To multiply powers with the same base add the exponents and keep the same base 3 4 3 4 7 b X b b b To divide powers with the same base subtract the exponents and keep the same base 12 8 12-8 4 b b b b 2. Raising Powers to Powers To raise a power to a power multiply the exponents 3 5 3x5 15 x x x 3. Negative Powers A number raised to a negative exponent is simply the reciprocal of that number raised to the corresponding positive exponent. -3 2 _1__ _1 3 8 2 4. Simplifying Square Roots V To simplify a square root factor out the perfect squares under the radical unsquare them and put the result in front V12 V 4X3 V 4 X V 3 2 V 3 5. Adding and Subtracting Roots You can add or subtract radical expressions when the part under the radicals is the same 2 V7 3 V7 5 V7 Don t try to add or subtract when the radicals are different. You cannot simplify expressions like 2 V 3 3 V 5 6. Multiplying and Dividing Roots The product of square roots is equal to the square root of the product V 2 x V 3 V 2 X 3 V 6 The quotient of square roots is equal to the square root of the quotient V 8 V 2 V 8 4 V 2 J. ALGEBRAIC EXPRESSIONS 1. Evaluating an Expression To evaluate an algebraic expression plug in the given values for the unknowns and calculate according to the rules for the order of operations. 2 Example To find the value of x 3x - 1 when x -2 plug in -2 for x -2 -2 3 -2 - 1 4 -6 -1 -3. 2. Adding and Subtracting Monomials To combine like terms keep the variable unchanged while adding or subtracting the coefficients 9a 4a 9 4 a 13a 3. Adding and Subtracting Polynomials To add or subtract polynomials combine like terms. 2 2 2 2 2 3x 5x -7 - x 12 3x - x 5x -7 -12 2x 5x - 19 4. Multiplying Monomials To multiply monomials multiply the coefficients and the variables .