DAT Quantitative Reasoning Exam Questions With Verified Answers

DAT Quantitative Reasoning Exam Questions With Verified Answers. Distance - answerd= rate(time) Average Rate - answertotal distance/total time Slope Formulas - answery=mx+b m- slope b- y intercept Given 2 points: y2-y1=m(x2-x1) m= (y2-y1)/(x2-x1) Parallel and Perpendicular Lines - answerParallel- Slopes must be equal Perpendicular- Slopes will be negative reciprocal: -(flipped) Distance Between Two Points - answerMake a right triangle and solve for the hypotenuse with a^2+b^2=c^2. Or: d= √(x2-x1)^2+(y2-y1)^2 Midpoint - answerAverage together the x values and y values. Or: [(x1+x2/2), (y1+y2/2)] Important Conversions - answerK= C + 273 F= 9/5(C)+32 0C=32F 1 in = 2.54 cm 1 mi = 5280 ft 1 ft = 12 in 1 yd = 3 ft 1 m = 1.1 yd 1 kg = 2.2 lbs 1 lb = 454 g = 16 oz Quadratic Equations - answerFor any equation in the format: ax^2 + bx + c = 0 (x+y)(x-y) = x²-y² (x+y)² = x² + 2xy + y² (x-y)² = x² - 2xy - y² Multiplying Exponents (with the same base) - answer(x^a)(x^b)= x^a+b Add the exponents. Dividing Exponents (with the same base) - answerx^a/x^b = x^a-b Subtract the exponents. Exponent to the power of another number - answer(x^a)^b = x^a*b Multiply the exponents. Multiplying Exponents (with different bases) - answer(x^b)(y^b)=(xy)^b Multiply those two bases and have them to the og exponent. Dividing Exponents (with different bases) - answer(x^b/y^b) = (x/y)^b