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Section 1: Basic Algebra

In this section, you will first be tested on your current algebra skills by doing some problems.  Then if it is required, you will be taken to the review lessons to review the topic once more.  Otherwise, you will be taken to the next section.

Do the following problems:

1. If x=y^2 and y=10/k, what is the value of x when k=5 ?

    A.     8
    B.     6
    C.     9
    D.     4
    E.     10

2. What are the two roots of following equation: 3x^2 + 5x - 2 = 0

    A.     6 and -1
    B.     1/3 and -2
    C.     -1/3 and -2
    D.     6 and 1
    E.     1/3 and 2

3. 33¹/₃% of a certain number equals 33¹/₃. What is the number?

    A.     100
    B.     200
    C.     300
    D.     400
    E.      500

4. One student told another one that the difference between the two-digit number of his house and the number with the same digits only in the reverse order equals the number of the other student's house. The second student replied that it was really easy to figure out the number of his friend's house. What numbers did the students' houses have?

    A.     91 and 72
    B.     126 and 75
    C.     77 and 99
    D.     14 and 98
    E.      33 and 91

5. There are 44 books on three shelves. If you move 3 books from the third shelf to the second, then there will be the same number of books on the first and third shelves, and twice as many on the second shelf. How many books were on each shelf initially?

     A.    12, 15, and 17
     B.    11, 19, and 14
     C.    17, 14, and 16
     D.    12, 13, and 14
     E.     None of Above

Click "Preceding Page" to see the answers.