MATH 110 Exam Questions with 100% Correct Answers

Real #s Correct Answer Irrational, rational, and whole #s Find the distance between 2 pts. on # line Correct Answer Take the absolute value of the difference between the 2 pts. d(P,Q) = | b - a | Which values must be excluded from the domain of the variable in the expression? Correct Answer Substitute the variables into the problem - the denominator cannot equal 0. Negative exponents Correct Answer a⁻ⁿ = 1/aⁿ Law of Exponents Correct Answer (a×)ⁿ = aוⁿ (a • b)ⁿ = aⁿ • bⁿ (aⁿb*)^ = aⁿ^b*^ xⁿx* = xⁿ⁺* xⁿyⁿ = (xy)ⁿ xⁿ/x* = xⁿ⁻* xⁿ/yⁿ = (x/y)ⁿ x⁰ = 1 a⁰ = 1 if a ≠ 0 When multiplying exponents, you add them. Cannot distribute exponents when adding or subtracting Ex → (5x-7)² Square roots Correct Answer √a² = |a| Tip: Rewrite expressions without negs or neg exponents Correct Answer ... Circle Correct Answer A = πr² C = πd or 2πr Rectangular box Correct Answer v = l • w • h S.A. = 2LH + 2WH + 2LW