URI Math Placement Exam with verified solutions 2024 latest update

bsolute value How far away a number is from zero -whatever the answer is, but positive Absolute value brackets in equation -take out brackets -turn into two equations; one positive answer, one negative -solve for x for both equations -two answers Adding fractions -find least common denominator -multiply each numerator by however much it's denominator was multiplied -add new numerators, keep denominator -SIMPLIFY Subtracting fractions -find least common denominator -multiply each numerator by however much it's denominator was multiplied -subtract new numerators, keep denominator -SIMPLIFY Quadratic formula x= -b + or - radical (b squared - 4ac) all over 2a Multiplying fractions multiply through (numerator x numerator) over (denominator over denominator) SIMPLIFY Dividing fractions Keep. Change. Flip -KEEP first fraction -CHANGE division sign to multiplication sign -FLIP second fraction -multiply through -SIMPLIFY Fraction to a power 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 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 -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 -multiplying equivalent variables with exponents: -add exponents -dividing equivalent variables with exponents: -subtract exponents Negative exponent One over original number to the original power (except positive power) Fractional exponent -take denominator root of original number -numerator remains as exponent to original number to the power of zero one to the power of one itself multiplying variables with exponents add dividing variables with exponents subtract slope M = y2 - y1 over x2 - x1 finding equation of line given two points -find slope -using y=mx+b: plug in slope, and x and y from either ordered pair -solve for b solve for x in fractions -get x fraction alone -clean up other side -if x is in denominator, flip both sides of equation -multiply both sides by denominator of x f(x) = x squared ? Function "F" takes "X" and turns it into X squared calculating functions -replace all functions with output