## Math 116: Study Guide - Chapter 2

There is a one-to-one correspondence between the study guide and the actual exam.

1. Use your calculator to simplify an expression. Round the final answer, not the intermediate steps, to two decimal places. Look at problems 2.1.67 - 2.1.70. Be sure you know how to use the exponentiation key on your calculator.
2. Solve the formula for the indicated variable. Two parts. Look at problems 2.2.65 - 2.2.84*.
3. Solve the equation using any method except for the quadratic formula. This means completing the square, extracting roots, or factoring. Three parts. Look at problems 2.3.45 - 2.3.68*. Only one-half credit will be given on these problems if you use the quadratic formula. Be sure to show your work so I can identify the method of solution used.
4. Solve the equation using the quadratic formula. Look at problems 2.4.7 - 2.4.28*. Only one-half credit will be given unless the quadratic formula is used. Be sure to show your work so I can identify the method of solution used.
5. Simplify the expressions involving complex numbers. Write the answers in standard form for a complex number (a + bi). Two parts. Look at problems 2.5.35 - 2.5.56*.
6. Story problem involving the height of freely falling body. Look at problem 2.3.76. You will need to use a calculator for this problem. The equation for the height of a freely falling body is given to you, but you need to insert the values from the problem. After finding the time it takes for the body to fall, find the horizontal distance traveled during the descent. Real data from the United States Air Force is used. You will need a calculator for this problem.
7. Solve the equation. Be sure to check answers when necessary. There is one problem of each type: 1) an equation in quadratic form (substitution may help), 2) an equation involving radicals, 3) a rational equation, 4) an equation involving absolute values. Four parts. Look at problems 2.6.1 - 2.6.70* (odds only).
8. Solve the inequality. Write the solution in interval notation. Four parts. Look at problems 2.7.17 - 2.7.50* (odds only) and 2.8.1 - 2.8.34* (odds only).
9. Mixture problem.. Look at problem 2.2.57. Real data from the Environmental Working Group is used. You will need a calculator for this problem.

### Notes

• You will need a calculator for problems 1, 6, and 9. A calculator may be useful, but is not required for the other problems. A graphing calculator is not required, but may be used if you have one (it really won't be of any additional benefit on this test).
• Be sure and show your work on problems 3 and 4. Since I am basing credit for the problem upon the method used to arrive at the answer and not just the final answer, I need enough work to determine your method.
• If the problems you are to look at have a * at the end of them, then the problem on the test is straight from the textbook. If there is no *, then the problem on the test is similar to, but not exactly, one of the problems indicated. The problem on the test may be an even or odd problem from the textbook unless stated otherwise.