Algebra

1. Suppose that you are taking a course that has 4 tests. The first tests are for 100 points each and the fourth test is for 200 points. To get B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were 83,83, and 94. What is the minimum score you need on the fourth test to get an B for the course?

2. Solve the inequality and write your answer in interval notation. Use “U” between the two intervals. Use “oo” ( two lower case o’s) for ∞. 20x – 16< -20 + 9x.

3. Sketch a graph of

4. Felicia cuts a piece of wood into three pieces. The second piece is three times as long as the first piece, and the third piece is 3 inches longer than the first piece. If the total length of the wood is 48 inches, find the lengths of each of the three pieces.

Show your work for each of the following steps:

1. Set up a variable dictionary.

1. Set up an equation.

1. Solve the equation.

1. Answer the question with a sentence.

1. Look back.

5. Two angles are said to be supplementary if their sum is 180 degrees. Suppose you have two supplementary angles such that the second angle is 24 degrees less than 5 times the measure of the first angle. Find the angles.

Show your work for each of the following steps:

1. Set up a variable dictionary.

1. Set up an equation.

1. Solve the equation.

1. Answer the question with a sentence.

1. Look back.