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Quiz 21 in Mathematics - Essex County College, Spring 2005 - Prof. Ron Bannon, Quizzes of Algebra

Essex County CollegeAlgebra
Prof. Ron Bannon

A mathematics quiz from essex county college, held in spring 2005. The quiz consists of 10 questions and the students are given 20 minutes to complete it. Solutions for the first question, which involves checking if x = -1 is a solution for the equation xยฒ - 4 = 2x - 3. The second question asks for the simplification of the expression 4x - 3 [x - 2 (3 - 2x)] - 4. The third question is about solving the equation 3x - 2 = 3 - 2x. The document was prepared using latex 2ฮต.

Typology: Quizzes

Pre 2010

Uploaded on 08/08/2009

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MTH 092 โ€” Spring โ€” 2005
Essex County College โ€” Division of Mathematics
Quiz # 21โ€” January 25, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers. Justify your answers algebraically
whenever possible. You have 20 minutes to take this 10 point quiz. No calculators or cellular
phones allowed.
1. Is x=โˆ’1 a solution of x2โˆ’4 = 2xโˆ’3? Solution:
(โˆ’1)2
โˆ’4?
=2 (โˆ’1) โˆ’3
1โˆ’4?
=(โˆ’2) โˆ’3
โˆ’3?
=โˆ’5
Final answer is no .
2. Simplify 4xโˆ’3 [xโˆ’2 (3 โˆ’2x)] โˆ’4.
4xโˆ’3 [xโˆ’2 (3 โˆ’2x)] โˆ’4
โ†’4xโˆ’3 [xโˆ’6+4x]โˆ’4
โ†’4xโˆ’3 [5xโˆ’6] โˆ’4
โ†’4xโˆ’15x+ 18 โˆ’4
โ†’ โˆ’11x+ 14
Final answer is โˆ’11x+ 14 .
3. Solve 3xโˆ’2 = 3 โˆ’2x.
3xโˆ’2=3โˆ’2x
3xโˆ’2+2x= 3 โˆ’2x+ 2x
5xโˆ’2=3
5xโˆ’2+2 = 3+2
5x= 5
5
5x=5
5
x= 1
Final answer is x= 1 .
1This document was prepared by Ron Bannon using L
A
T
E
X 2ฮต.
1

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Download Quiz 21 in Mathematics - Essex County College, Spring 2005 - Prof. Ron Bannon and more Quizzes Algebra in PDF only on Docsity!

MTH 092 โ€” Spring โ€” 2005 Essex County College โ€” Division of Mathematics Quiz # 2^1 โ€” January 25, 2005

Name: Signature:

Show all work clearly and in order, and box your final answers. Justify your answers algebraically whenever possible. You have 20 minutes to take this 10 point quiz. No calculators or cellular phones allowed.

  1. Is x = โˆ’1 a solution of x^2 โˆ’ 4 = 2x โˆ’ 3? Solution: (โˆ’1)^2 โˆ’ 4 =?^ 2 (โˆ’1) โˆ’ 3 1 โˆ’ 4 =? (โˆ’2) โˆ’ 3 โˆ’ 3 =?^ โˆ’ 5 Final answer is no.
  2. Simplify 4x โˆ’ 3 [x โˆ’ 2 (3 โˆ’ 2 x)] โˆ’ 4. 4 x โˆ’ 3 [x โˆ’ 2 (3 โˆ’ 2 x)] โˆ’ 4 โ†’ 4 x โˆ’ 3 [x โˆ’ 6 + 4x] โˆ’ 4 โ†’ 4 x โˆ’ 3 [5x โˆ’ 6] โˆ’ 4 โ†’ 4 x โˆ’ 15 x + 18 โˆ’ 4 โ†’ โˆ’ 11 x + 14

Final answer is โˆ’ 11 x + 14.

  1. Solve 3x โˆ’ 2 = 3 โˆ’ 2 x. 3 x โˆ’ 2 = 3 โˆ’ 2 x 3 x โˆ’ 2 + 2x = 3 โˆ’ 2 x + 2x 5 x โˆ’ 2 = 3 5 x โˆ’ 2 + 2 = 3 + 2 5 x = 5 5 5 x^ =^

x = 1 Final answer is x = 1. (^1) This document was prepared by Ron Bannon using LATEX 2ฮต.

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