Exam 3 is scheduled for Monday, July 20.
You may use a 3" × 5" note card (both sides) and a
scientific calculator. You are expected to
know (or have written on your note card) any formulas you may need. Think about
any formulas
you needed for homework. For example: quadratic formula, vertex of a parabola ,
etc...
This is the list of things you must know how to do for
Exam 3:
For Exam 3, you will need to be able to:
1. Find the domain of a radical function . 7.1
2. Use radical notation to rewrite an expression.7.2
3. Rewrite an expression with rational exponents . 7.2
4. Rewrite an expression with a positive rational exponent and if possible,
simplify. 7.2
5. Use the properties of exponents to simplify expressions. 7.2
6. Simplify a radical expression by factoring. 7.3
7. Multiply radical expressions and simplify. 7.3
8. Simplify an expression by using the quotient rule . 7.4
9. Divide radicals and if possible, simplify. 7.4
10. Add/ subtract radical expressions. Simplify terms to identify like radicals.
7.4
11. Multiply radical expressions by distributing or FOILing . Ex. 7.5
12. Rationalize the denominator when the denominator has 1 term. 7.5
13. Rationalize the denominator when the denominator has 2 terms. 7.5.
14. Solve a radical equation. Remember to check for extraneous solutions. 7.6
15. Use a given radical function that models a real world application to answer
the question
asked. 7.2/7.6
16. Add or subtract two complex numbers . Write the answer in the form a + bi.
7.7
17. Multiply two square roots of negative numbers. 7.7
18. Multiply two complex numbers and simplify. Write the answer in the form a +
bi. 7.7
19. Divide by a complex number. Write the answer in the form a + bi. 7.7
20. Solve a quadratic equation by using the Square Root Property. Simplify the
answer as much as
possible. If possible, simplify radicals or rationalize denominators. Express
imaginary
solutions in the form a + bi. The problem may be given using function notation.
8.1
21. Solve a quadratic equation by using the Quadratic Formula. Simplify the
answer as much as
possible. 8.2
22. Solve a quadratic equation by using the method of your choice. Simplify the
answer as much
as possible. 8.2
23. Graph a quadratic function of the form f(x) = a (x - h)2 + k . Label
the vertex and intercepts
(if the numbers are integers or fractions). The graph must include at least five
points. 8.3
24. Graph a quadratic function of the form f(x) = ax2 + bx + c . Label the
vertex and intercepts (if
the numbers are integers or fractions). The graph must include at least five
points. 8.3
25. Solve an application involving a quadratic function (but is not a max/min
problem). You will
either be given a quadratic function and will need to know how to use it to
answer the
question asked OR it is an area problem (a=l*w) OR it is a right triangle
problem (Pythagorean
Theorem). 8.1/8.2
26. Solve a maximum/minimum application problem. You will either be given a
quadratic
function and will need to know how to use it to answer the question asked OR it
is an area
problem (a=l*w). 8.3
27. Solve equations that are quadratic in form by making an appropriate
substitution. Remember
that in the process of solving these you ended up having to solve a linear ,
radical, rational, or
quadratic equation. Simplify answers when possible. If at any point in the
solution process
both sides of an equation are raised to an even power, a check is required. 8.4
28. Solve a polynomial inequality . Write the answer in interval notation and
graph the solution
set on a real number line. 8.5
Practice Problems for Exam 3
After reading your notes and looking over you homework,
attempt these problems. Try to do
them without looking at your notes or book. After you’ve attempted the problems,
check your
answers. The solutions to all Chapter Test problems, even and odd, are available
in the back of
the book. You can also use the Chapter Test Prep Video that came with the book
to see someone
working out the problems. If you don’t have this cd, it is available at the ILC
or MLC. Lastly,
based on how you did on these problems revise the info you will write on your
index card.
Chapter 7
Page 559 #1b, 2 (write with positive exponent, then simplify), 10, 11, 12, 14,
16, 17, 19, 20, 21,
22(as extra credit if on exam), 23, 24, 26, 27, 28, 29
Also try:
Page 558 #16, 18, 20, 21, 23, 24, 39, 42, 47, 50, 53
Page 559 #81, 85, 99
Chapter 8
Page 636 #1, 2, 5(extra credit if on exam), 9, 10, 11, 12, 15, 16 (need 5 points
on the graph),
17(need 5 points on the graph), 18, 19, 20, 21, 22, 23, 24 Don't do #24; not on
exam
Also Try:
Page 634 #13(decimal approx only), 21
Page 635 #33
Page 636 #40, 49 Don’t do #49; not on exam
