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Mathematics for Economists
Chapter 3
Equations: Rules and terminology
Equivalent equations and inequalities
Equations, terminology
Equations, constants and variables
Classification of equations
Solving equations
Quadratic equations
Reduced quadratic equations
Quadratic equations
Factoring a reduced quadratic expression and completing the square
Factoring a quadratic expression and completing the square
Single equations: Problems
Problem: Solve linear and quadratic equations
Problem: Understanding the quadratic formula
Problem: Solve linear and nonlinear equations
Problem: Simplify by factoring
Problem: Solve equations
Problem: Factor expressions
Problem: Solve inequalities
Problem: Solve text-equations
Problem: Solve equations containing constants
Problem: Solve equations containing constants
Problem: Solve quadratic equations
Problem: Solve quadratic equations
Problem Solve quadratic text-equations
Problem: Solve equations containing square roots
Systems of linear equations
Systems of equations
Problem: Solve systems of equations
Problem: Solve systems of equations
Problem: Solve systems of equations
Problem: Solve non-linear equations
Sums and the summation sign
Summation sign
Summation rules
Problem: Evaluate sums
Problem: Calculate sum
Problem: True or false for sums
Problem: Sums involving the mean
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Chapter 3
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Problem: Simplify by factoring
Problem
Simplify the following expressions
x
2
−
4
x
+
2
x
2
−
2
x
−
3
x
+
1
x
2
−
1
x
2
+
x
−
2
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Solution
