1. Definitions:
Chapter 6: whole numbers W, negative, positive , signed, integers Z, number line,
rational
numbers Q, ir rational numbers , real numbers R, inequality symbols , additive
inverse,
double negative , absolute value |x|, sum, difference, minuend, subtrahend,
product, like
signs, unlike signs , quotient, dividend, divisor, order of operations ,
numerator, denominator,
lowest terms, Cross–Product Test, mixed number, improper fraction , arithmetic
rules, least common denominator, decimal representation, terminating, repeating,
radical
sign, radical, radicand, index, principal square root , perfect square,
square–free,
Product Rule for Radicals , Quotient Rule for Radicals, rationalizing the
denominator,
adding and subtracting square roots, cube root, π =
3.14159 . . ., Φ = 1.61803 . . .,
e = 2.71828 . . ., decimals, rounding, percentages
Chapter 7: algebraic expression, equation, linear equation , solve, solution,
solution
set, properties of equality , applications, isolate, ratio, proportion, cross
product, direct
variation, inverse variation, absolute value |a|, absolute value equations
2. Know the properties of real numbers
3. Graph intervals on a number line
4. Find the absolute value of a number
ex: | − 17.48 |
5. Use the order of operations properly
ex: 24 − (8 × [15 − 91 ÷ 7] + 10) + 13
6. Add, subtract, multiply and divide integers
ex: −12 and 3
7. Evaluate exponential expressions
ex: (−3)3
8. Reduce a rational number to its lowest form
9. Add, subtract, multiply and divide rational numbers
10. De termine if we have an irrational number or not
11. Simplify radical expressions
12. Rationalize the denominator of a irrational expression
13. Convert decimals to percentages
14. Convert percentages to decimals
ex: 418%
15. Simplify an algebraic expression
ex: 5(3x − 2)2 − (38x2 − 57x + 19)
16. Solve linear equations (don’t forget to check your
answer!)
17. Solve word problems
ex: A student has exam scores of 79, 81, 89 and 77 on the
chapter exams. What score
must the student get on the last exam to average an 80? 85?
ex: Steve requires $5000 per year in extra income. He has
$70,000 to invest. He can
invest in bonds paying 8% per year, or in CD’s paying 5% per year. How much
money should be invested in each to realize his goal?
ex: A life raft, set adrift from a sinking ship 190 miles
offshore, travels directly toward
a Coast Guard station at the rate of 5 miles per hour. At the time that the raft
is
set adrift, a rescue helicopter is dispatched from the Coast Guard station. If
the
helicopter’s average speed is 90 miles per hour, how long will it take the
helicopter
to reach the life raft?
ex: A laboratory has 60 oz of a solution that is 40% acid.
How many oz of a 15%
solution should be mixed with the 60 oz of 40% solution to obtain a 25%
solution?
How much of the 25% solution is there?
18. Solve proportions
19. Solve variation
ex: A person’s hair length varies directly as the number
of years it has been growing.
After 2 years, a person’s hair length is 8 inches. If a person grows their hair
for 10
years, how long should it be?
ex: The illumination of a light source varies indirectly
as the distance from the source.
If the illumination at 150 centimeters is 100 lumens, how far away is the source
if
the illumination is 187.5 lumens?
20. Calculate the absolute value of a number
21. Solve absolute value equations
Notes about the examination:
• The examination should take about an hour.
• It is completely “show your work” (no multiple choice or other kinds of
questions –
hence, no 
are required).
• The exam will be taken in the all–new Testing Center [see the purple paper].
• You will have a choice of doing 10 out of 13 (or so) questions.
• Please do all of your work on the white paper – the only thing that should be
on the
examination paper itself is your name.
• No cell–phone calculators will be allowed in the exam room!
• Good luck (if you are depending on luck)!
