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Algebra II Pretest Aug 11, 2011

By writing your name below, you are pledging that you have neither given norreceived aid on this pretest. There are 10 questions.

Name:

Show all work on this pretest.

1. (Definitions)

(a) Define the word variable as it applies to math in your own words (without lookinganything up)

(b) Use the internet to find another definition of the word variable as it applies to math.

2. (Definitions) What is slope in math?

3. (Definitions) What does x2 mean?

4. (Understanding through Drawing) Do your best to accurately draw the following statements.

(a) 0 x < 5

(b) y = 3x 6

(c) 2x + 5y = 1

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Algebra II Pretest

5. (By-hand arithmetic) Compute the following without a calculator. Show all work.

(a)2

3+

4

5(leave answer as a fraction)

(b)2

3 4

5(leave answer as a fraction)

(c) 21

658

(d)11

8(find a decimal equivalent)

6. (Solving equations) Solve the following equations for the unknown variable.

(a) x 9 = 18

(b) 2z = 15

(c) 4t + 8 = 11

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Algebra II Pretest

(d) 6x2 + 7x 20 = 0

7. (Simplifying expressions) Do what you can with the following expressions to simplify them tolook more simple.

(a) (6x3 + 2x2 5x) (x3 9x2 + 4)

(b) (3x

1)(2x + 5)

(c)

75 +

3

8. (Math Notation)

(a) Iff(x) = 3x 8, find f(4).

(b) 76 is 22% of what number?

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Algebra II Pretest

9. (Factoring) Factor the following into simpler pieces

(a) x2 + 6x 27

(b) 2x2 + 4x 6

(c) x2 16

(d) 2x2 3x 2

10. (System of Equations) Solve the system

y =1

2x 1

y = x + 3

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