Chapter 4:Algebra, 4.5:Problems Involving the Change of Subject and Algebraic Equations

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Last updated 3:46 PM on 9/20/26
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17 Terms

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What is the subject of a formula?
The variable that is alone on one side of the equation
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How do you change the subject of a formula?
Rearrange the formula so the required variable is alone on one side
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What are inverse operations?
Operations that undo each other
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What is the inverse of addition?
Subtraction
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What is the inverse of subtraction?
Addition
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What is the inverse of multiplication?
Division
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What is the inverse of division?
Multiplication
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What is the inverse of squaring?
Square rooting
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What is the inverse of cubing?
Cube rooting
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What should you do to both sides of an equation?
Perform the same operation on both sides
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How do you remove fractions from an equation?
Multiply both sides by the denominator
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How do you solve an equation containing brackets?
Expand the brackets
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How do you solve an equation with the unknown on both sides?
Move all unknown terms to one side and constants to the other side
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What is an equation?
A mathematical statement containing an equals sign
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What is a formula?
An equation that shows a relationship between different quantities
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Why should you check an algebraic answer?
To make sure it satisfies the original equation
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How do you check a solution to an equation?
Substitute the answer back into the original equation