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Intermediate Algebra
This page was last updated on 15-Jun-02

Return to Self-Tests
 
In creating this self-test, I was limited by my inability to create mathematical symbols (I don't have the right font); therefore, I was only able to include very basic algebra questions here.  I do think, however, that these basics are a good way to jump-start your semester; everything else you will learn will be built upon them.  50 questions total.

Review the questions...click on the question itself to be taken to the answer page.

1.  What is the order of operations rule?
2.  Define set, union, intersection and subset.
3.  What are ...counting numbers?
4.  ...whole numbers?
5.  ...integers?
6.  ...rational numbers?
7.  ...irrational numbers?
8.  ...real numbers?
9.  ...prime numbers?
10.  Illustrate the commutative properties (for addition and multiplication).
11.  Illustrate the associative properties (for addition and multiplication).
12.  Illustrate the identity properties (for addition and multiplication).
13.  Illustrate the inverse properties (for addition and multiplication).
14.  Illustrate the distributive properties (for addition and multiplication).
15.  a to the r power times a to the s power =
16.  (a to the r power) to the s power =
17.  (ab) to the r power =
18.  a to the -r power =
19.  (a/b) to the r power =
20.  a to the r power/a to the s power =
21.  a to the 1st power =
22.  a to the 0 power =
23.  (a+b) squared =
24.  (a-b) squared =
25.  (a+b)(a-b) =
26.  a cubed + b cubed =
27.  a cubed - b cubed =
28.  What is standard form?
29.  How do you find the perimeter and area of a square?
30.  How do you find the perimeter and area of a rectangle?
31.  How do you find the perimeter and area of a triangle?
32.  How would you write the following mathematically: What number is 15% of 63?
33.  How would you write the following mathematically:  What percent of 42 is 21?
34.  What is the Pythagorean Theorem?
35.  What is the solution set for x:IxI = 5?
36.  What is the linear equation of a straight line?
37.  How do you find the x-intercept?
38.  How do you find the y-intercept?
39.  What is the formula used to find the slope of a line?
40.  What is slope-intercept form?
41.  What is the point-slope form of the equation of a line?
42.  What kind of slope do vertical lines have?
43.  What kind of slope do horizontal lines have?
44.  What kind of slope do parallel lines have?
45.  What kind of slope do perpendicular lines have?
46.  (a-b)/(b-a)=
47.  What is Pi?
48.  What is the formula for the circumference of a circle?
49.  What is the equation for determining the speed of an object?
50.  What is the equation for determining the distance an object has travelled?

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