Math Review - Color.pdf - TM MATH REVIEW 1 Lee Simonov...

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TM M ATH R EVIEW 1 Lee Simonov Services, LLC © All rights reserved
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TM 2 Lee Simonov Services, LLC © All rights reserved O VERVIEW T IPS Keep scratch paper organized Never drop your units Retain constants until the end of the calculation (like π ) Rounding is your friend Always do calculations by hand, not your head Note: If you struggle with math skills, get a GRE/GMAT/ ACT/SAT book and focus on the math problems to bring yourself up to speed. MCAT problems aren’t an efficient way of solving specifically math issues.
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TM 3 Lee Simonov Services, LLC © All rights reserved F AST D IVISION AND M ULTIPLICATION 3 0.5 3 0.1 0.05 3.5 x 3.15 3 ½ 5 ¼ 3 ½ x 5 ¼ x 4 x -2 (x + 4)(x - 2) 15 + 2 ½ + ¾ + 1/8 = 18 3/8 9 + 1.5 + 0.3 + 0.05 + 0.15 + 0.025 = 11.025 = x 2 – 2x + 4x – 8 = x 2 + 2x – 8 Grid method for multiplying decimals, fractions, variables
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TM 4 Lee Simonov Services, LLC © All rights reserved F AST D IVISION AND M ULTIPLICATION 13.86 2.41 14 2.5 30 5 = 6 = 5.75 <5% error 2814 419 2800 400 = 7 = 6.71 <5% error 311 2.8 300 3 = 100 = 111 >10% error Both rounded up Both rounded down One rounded up, one rounded down Round method for dividing decimals through large numbers
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TM 5 Lee Simonov Services, LLC © All rights reserved F RACTIONS 2 3 + 3 4 = 4 2 4 3 + 3 3 3 4 = 8 12 + 9 12 = 17 12 Addition 6 5 1 8 = 8 6 8 5 5 1 5 8 = 48 40 5 40 = 43 40 Subtraction 3 8 × 5 9 = 3 × 5 8 × 9 = 15 72 Multiplication 1 3 2 5 = 1 3 × 5 2 = 5 6 Division
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TM 6 Lee Simonov Services, LLC © All rights reserved E XPONENTS 3 4 = 3 1 × 3 1 × 3 1 × 3 1 = 3 2 × 3 2 = 81 3 −4 = 1 3 × 3 × 3 × 3 = 1 81 Positive Negative Addition Subtraction Multiplication Division Exponents 3 2 + 4 2 (3 + 4) 2 3 2 + 3 4 3 6 3 2 4 2 (3 4) 2 3 2 3 4 3 −2 4 2
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