Lesson 4 Summary:
The properties of equality, shown below, are used to transform equations into simpler forms. If A, B and C are rational numbers, then
If A = B, then A + C = B + C (Addition Property of Equality)
If A = B, then A - C = B - C (Subtraction Property of Equality)
If A = B, then A•C = B•C (Multiplication Property of Equality)
If A = B, then A/C = B/C, where is not equal to zero (Division Property of Equality)
To solve an equation, transform the equation until you get to the form of x equal to a constant (x = 5, for example).
Lesson 4 Concept DevelopmentTo solve an equation means to find all of the numbers , if they exist, so that the given equation is true.
Lesson 4 Concept Development
Solve the linear equation 2x - 3 = 4x for the number x.
Solve the linear equation 3/5 x - 21 = 15
Solve the linear equation 1/5 x + 13 + x = 1 - 9x + 22. State the property that justifies your first step and why you chose it.
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