GRE algebra
Terms
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- inequalities
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- do whatever is necessary to both sides to isolate the variable
- REMEMBER: when multiplying or dividing both sides by a NEGETIVE number, you must REVERSE the sign
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square roots
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√n= the non-negetive number which squared equals n
- there are 2 numbers when squared: n, -n
- √n means the NON-NEGETIVE square root
- multiply monomials
- 2a*2a=(2*3)(a*a)=6a2
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raising a power to a power
- (Xa)b=X(a*b)=Xab
- exponents
- X3=X*X*X
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multiplying and dividing powers
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Xa*Xb=X(a+b)
Xa÷Xb=X(a-b)
- multiplying and dividing radicals
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√a x √b= √a*b= ab
√a/√b= √a/b= √x
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powers of fractions
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raising a fraction b/t 0 and 1 to a power yields a number smaller than the original:
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combining like terms
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2a + 3a = 5a
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solving a quadratic equation:
what are the possible values of X?
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x2+12=7x
- put 7x on left
- set equal to zero
- factor left side
- set (x-4)=0 (x-3)=0
- solve for x to give the possible values of x