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Solving One Step Equations and Inequalities Math 7/8

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Vocabulary Term - A number, a variable, or a product of numbers and variables. Variable – A letter or symbol used to represent a value. Constant - A term without a variable. Coefficient - A numerical factor in a term containing variables. Equation - A mathematical statement that two or more expressions are equivalent

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Vocabulary Expression - A combination of variables, numbers, and/or operations that represents a mathematical relationship but no statement of equality or inequality. Inequality – A mathematical sentence showing two values that are not equal to each other.

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Symbols =Equal to < Less than > Greater than < Less than or equal to > Greater than or equal to

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Solving One Step Equations When solving equations, you need to do the inverse (opposite) to solve. Ex) x + 12 = 15

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Solving One Step Equations When solving equations, you need to do the inverse (opposite) to solve. Ex) x + 12 = 15 - 12 -12 x = 3

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Examples x – 12 = -9 7 = 3 + x -2x = -16

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Examples x – 12 = -9 + 12 +12 x = 3 7 = 3 + x -3 4 = x -2x = -16 -2 x = 8

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Inequalities Solve inequalities the same as you solve equations EXCEPT when multiplying or dividing by a negative number. When multiplying or dividing by a negative number, switch the direction of the inequality sign.

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Graphing Inequalities Open circle Closed circle 1 2 3 -2 -3 -4 x -3

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