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ECON 2500 Homework 27: Solving Equations and Algebraic Problems - Prof. David Tufte, Assignments of Economics

A university economics homework assignment from spring 2009, focusing on solving equations and algebraic problems. Students are required to fill in the blanks and answer questions related to given equations. Topics include solving for variables, dividing equations, and understanding the reasoning behind certain algebraic operations.

Typology: Assignments

Pre 2010

Uploaded on 08/19/2009

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ECON 2500
Spring 2009
Dr.
Tufte
Homework 27
Due: Wednesday, April 1, at the start of class.
If possible, answer questions in the space provided.
This is another area you’re supposed to know. That’s a warning.
1) The prices of butter and margarine are related by these two equations. Solve for
both prices:
8 3
7
 7
19
2) Solve the following equations for x, y and z:
16 0
 24 0
42 0
A frequently forgotten part of algebra is that – provided that neither side of the equation
equals zero one equation may be divided by another. This technique will save you
some time with problems we will be doing shortly.
3) If:
12
2
Fill in the blanks:
4) Using your answers from # 1, can you show that:
8
3
 7
7
19
5) Explain why in # 2 that:
16
 24 1

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ECON 2500 Spring 2009 Dr. Tufte

Homework 27 Due: Wednesday, April 1, at the start of class. If possible, answer questions in the space provided.

This is another area you’re supposed to know. That’s a warning.

  1. The prices of butter and margarine are related by these two equations. Solve for both prices: 8ᡂ〩 ㎘ 3ᡂ぀ 㐄 7 ㎘ᡂ〩 ㎗ 7ᡂ぀ 㐄 19

  2. Solve the following equations for x, y and z: 16ᡶ ㎘ ᡷ ㎘ ᡸ 㐄 0 ㎘ᡶ ㎗ 24ᡷ ㎘ ᡸ 㐄 0 42 ㎘ ᡶ ㎘ ᡷ 㐄 0

A frequently forgotten part of algebra is that – provided that neither side of the equation equals zero – one equation may be divided by another. This technique will save you some time with problems we will be doing shortly.

  1. If: ᡶ 㐄 12 ᡷ 㐄 2 Fill in the blanks: ᡶ ᡷ
  1. Using your answers from # 1, can you show that: 8ᡂ〩 ㎘ 3ᡂ぀ ㎘ᡂ〩 ㎗ 7ᡂ぀
  1. Explain why in # 2 that: 16ᡶ ㎘ ᡷ ㎘ᡶ ㎗ 24ᡷ