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12 Cards in this Set
- Front
- Back
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Three Classic Quadratic Equations
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x²-y² = (x+y)(x-y)
(x+y)² = x²+2xy+y² (x-y)² = x²-2xy+y² |
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Radical Rules of Operations
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√a + √b = √ab
a√c + b√c = (a+b)√c √a + √b ≠ √a+b (√a)² = a |
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Difference btwn Roots and Radicals
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√9 = 3 ONLY even though -3²or +3²=9
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Data Sufficiency
Difference btwn Roots and Radicals |
What is the value of x?
(1) x = √16 (2) x² = 16 1 sufficient 2 insufficient |
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3 Commonly Tested Properties of Powers in Data Sufficiency
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1. Raising a fraction btwn zero and one to a power produce a smaller result.
Ex: (1/2²)=1/4 2. Raising a negative # to an even power = positive # Ex- (-2)²=4 3. Raising a negative # to an odd power = odd # Ex- (-2)³= -8 |
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Quick Ways to Find Least Common Multiples (Ex: 6 & 8)
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1. Prime Factorization
2. Write out max times it # appears 3. mult step 2 primes Ex: 6=2*3 8=2*2*2 2*2*2*3= 24 |
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First Ten Prime Numbers
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2, 3, 5, 7, 11, 13, 17, 19, 23, 29
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Greatest Common Factors (Ex: 36 & 48)
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1. Prime Factorization
2. Mult step common factors 36=2*2*3*3 48=2*2*2*2*3 2*2*3=12 |
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Odd Number Properties
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ONLY:
O + E = O O * O = O |
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Picking #s for Odd/Even data sufficiency problems
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In division problems. different numbers may yield different results.
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Divisibility Rules for 2,3,4,6,9
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An integer is divisible by..if..
2-last digit is divisible by 2 3-digits add up to a mult of 3 4-last 2 digits are amult of 4 6-is divisable by 2 & 3 9-digits add up to a mult of 9 |
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Absolute Value of 5
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|x|=5
x=5 or x=-5 trap answers for those who assume quantity can only be positive |
