MAT 1500 - Week 3 Practice Test. Questions & Answers. Complete Solutions. A+ Graded.

MAT1500 Week 3 Practice Test Please use this to prepare for the Week 3 quiz. In this document, you will find: Practice problems Solutions Common errors Please don’t miss any of these sections. Taking the time now to prepare will help you do your very best on the quiz. Please be sure to show your work for every problem that requires it. Full credit cannot be awarded when work is missing. #1 Consider the following simple statements: p: It is time for dinner. q: I will read my book. Consider the compound statements and write each statement in symbolic form: a. It is time for dinner or I will read my book. b. If it is time for dinner, then I will read my book. c. I will read my book and it is time for dinner. #2 Consider the compound statements below: a. Our meeting is postponed and we will meet if the power comes back on. b. It is not true that our meeting is postponed and the power comes back on, or we will meet. Give simple statements p, q, and r and give the symbolic statement that best represents the compound statement. Is the compound statement a negation, conjunction, disjunction, conditional, or biconditional? #3 Consider the following simple statements: p: The house is painted white. q: The fence is broken. r: It is sunny outside. Write the following symbolic statements in words. a. r ↔ (p ˅ q) b. (p ^ q) ↔ r c. q ^ (r ↔ p) #4 Consider the statement: ~p ˄ (q ˄ ~r) Determine if this statement is true or false in each of the following cases: p is true, q is false, and r is true. p is false, q is true, and r is false. #5 Consider the following simple statements: p: I cook dinner. q: I make coffee. r: The family is happy. Consider the compound statement: I cook dinner and make coffee, or the family is not happy. Write the statement in symbolic form. Construct a truth table for this symbolic statement. #6 Consider the following compound statement: If 1^2 = 4, then 3^2 = 9 Consider the simple statements: p: 1^2 = 4 q: 3^2 = 9 Determine the truth value for the simple statements. Determine the truth value for the compound statement. #7 Consider the information in the chart below: