URI MATH PLACEMENT EXAM
QUESTIONS AND ANSWERS WITH
VERIFIED SOLUTIONS 2024
Absolute value - ANSWER How far away a number is from zero
-whatever the answer is, but positive
Absolute value brackets in equation - ANSWER -take out brackets
-turn into two equations; one positive answer, one negative
-solve for x for both equations
-two answers
Adding fractions - ANSWER -find least common denominator
-multiply each numerator by however much it's denominator was multiplied
-add new numerators, keep denominator
-SIMPLIFY
Subtracting fractions - ANSWER -find least common denominator
-multiply each numerator by however much it's denominator was multiplied
-subtract new numerators, keep denominator
-SIMPLIFY
Quadratic formula - ANSWER x= -b + or - radical (b squared - 4ac) all over 2a
Multiplying fractions - ANSWER multiply through
(numerator x numerator) over (denominator over denominator)
SIMPLIFY
Dividing fractions - ANSWER Keep. Change. Flip
, -KEEP first fraction
-CHANGE division sign to multiplication sign
-FLIP second fraction
-multiply through
-SIMPLIFY
Fraction to a power - ANSWER If fraction in parentheses:
-the whole fraction times itself x many times
-multiply through
If no parentheses:
-only the number with the exponent is effected
Factoring
-how and what signs to use - ANSWER SUM CENTER
-find two numbers that add to middle term and multiply to outside term
-if second sign in original equation is positive, then both signs in parentheses are same as first sign in
equation
-if second sign is negative, then both signs in parentheses are different
-final answers are opposite of signs in parentheses
Exponent properties - ANSWER -negative exponent = one over original number to the original power
(except positive power)
-fractional exponent = denominator root of original number
-numerator remains as exponent to original number
-anything to power of 0 = 1
-anything to power of 1 = itself
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