Math 009 Quiz 4 Name________________________________ Instructions: The quiz is worth 50 points. There are 10 problems, each worth 5 points. This quiz allows open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone. You should show all of your work to receive full credit. If you do not show work, you may earn only partial or no credit. Please type your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in the document. If you have any questions, please contact me by e-mail At the end of your quiz you must include the following dated statement with your name typed in lieu of a signature. Without this signed statement you will receive a zero. I have completed this quiz myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz. Name: Date: Please remember to show ALL of your work on every problem. 1) Tanya has a triangular garden bed in her back yard. The measure of the largest angle is 40 less than twice the measure of the smallest, and the measure of the middle angle is 10 more than Math 009 Quiz 3 Page 2 the measure of the smallest angle. Find the measures of the three angles. Start your work by defining the unknown quantities in terms of a variable. Show all work and write a complete answer, including units. 2) Jacob decided to ride his bicycle across the country during his 3-month summer vacation. The route he took from Washington, DC to Portland, Oregon, covered a total of 3820 miles. To keep his mind occupied during some of the long flat stretches of countryside, he often did algebra problems in his head. One day, for example, he determined that his distance from his starting point was exactly 80 miles more than twice the distance remaining until the finishing point. How far was Jacob from the finishing point of his journey when he made that calculation? Start your work by defining the unknown quantities in terms of a variable. Show all work and write a complete answer, including units. Math 009 Quiz 3 Page 3 3) Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line. x-2<8 4) Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line. 3x - 5 < 5(x + 3) 5) Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line. -4x + 6 > 8x + 30 Math 009 Quiz 3 Page 4 6) Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line. Multiply both sides of the inequality by the LCD first to clear fractions. 3 x2 4 7) Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line. Multiply both sides of the inequality by the LCD first to clear fractions. 3 1 1 x+ < x+1 4 2 3 8) Melissa is planning to invest a total of $17,000 in two accounts. If she invests $9,000 in a CD paying 12% annual simple interest, at what rate does the remainder of her money need to be invested so that the two investments together yield at least $1900 in yearly simple interest? (Set up and solve an inequality to answer this question). Math 009 Quiz 3 Page 5 9) Given the equation below, find four ordered pair solutions by completing the table, showing all work in the space below. Then use the ordered pairs to graph the equation. You may use the grid below or attach your own. y=4 x+ 2 Show work below: x y 0 2 0 5 y x Math 009 Quiz 3 Page 6 10) Given the equation below, find four ordered pair solutions by completing the table, showing all work in the space below. Then use the ordered pairs to graph the equation. You may use the grid below or attach your own. 1 y= x2 5 Show work below: x y 0 5 0 -6 y x