# MATH 009

Math 009 Quiz 4

Fall 2016

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*Please remember to show ALL of your work on every problem. Read the basic rules for showing work posted in our LEO classroom BEFORE you start working on the quiz.*

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1) Allison has a triangular garden bed in her back yard. The measure of the largest angle is 10° less than six time the measure of the smallest, and the measure of the middle angle is 30° more than 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) Paul 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 3480 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 90 miles more than twice the distance remaining until the finishing point. How far was Paul 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.

3) Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line.

4) Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line.

5) Solve the inequality. Write the answer using both set-builder notation and interval notation. Graph the solution set on a number line.

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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.

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.

8) Andrea is planning to invest a total of $20,000 in two accounts. If she invests $15,000 in a CD paying 8% 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 $1500 in yearly simple interest? Set up and solve an inequality to answer this question.

9) Given the equation below, find four ordered pair solutions by completing the table, showing all work in the space below.

**Show work below:**

x |
y |

0 | |

2 | |

0 | |

-5 |

10) Plot the ordered pairs that you found in #9 and draw the line through them. You may use the grid below or attach your own labeled and scaled graphing grid. If the points you found in #9 do not all lie on one line, then please check your work carefully for errors.

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A water tank initially (at time t = 0 min) contains 800 gallons of water. A spigot is opened at the bottom of the tank and water pours out at a constant rate of 40 gallons per minute. Assume that the relation between the volume V of water in the tank and time t is linear. a) Set up a coordinate system, placing the time t on the horizontal axis and the volume of water V on the vertical axis. Label and scale each axis. Include units in your labels. b) Use the initial volume of water in the tank and the rate at which the volume of water is decreasing to draw the line representing the volume V of water in the tank at time t. Use the slope-intercept form to determine the equation of the line. c) Replace x and y in the equation found in part (b) with t and V , respectively. Use the result to predict how much time must pass until the water tank is empty

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*End of quiz: please do not forget to write and sign (or type) the required statement explained in the box on Page 1 of the quiz. *