Problem 1: (5 points)

Tanya has a triangular garden bed in her back yard.The measure of the largest angle is 15 more than three time the measure of the smallest, and the measure of the middle angle is 40 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

Problem 2: (5 points)

Andrew 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 3400 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 400 miles more than twice the distance remaining until the finishing point.How far was Andrew 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

Problem 3: (5 points)

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

Problem 4: (5 points)

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

Problem 5: (5 points)

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

Problem 6: (5 points)

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.

Problem 7: (5 points)

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.

Problem 8: (5 points)

Jennifer is planning an office holiday party.If the caterer charges a fixed cost of $800 plus $12/serving, how many people can attend the party if Jennifer can spend at most $1500 for catering?Set up and solve an inequality to answer this question.

Problem 9: (5 points)

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

Show work below:

x

y

-2

0

3

0

5