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# Algebra Equations

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### Algebra Equations

1. 1. Algebra Equations What you’ll learn in this section: Solving equations using mental math.
2. 2. New Vocabulary Defining the variable: choosing a variable to represent the unknown in a problem. Inverse operations: operations that “undo” each other. Addition and subtraction are inverse operations.
3. 3. New Vocabulary Equation: a sentence in mathematics that contains an equal sign. Solution: a number that makes a sentence true. Solving an equation: the process of finding a solution to an equation.
4. 4. Solve the Equation Mentally Solve 16 + m = 28 Solution is 12
5. 5. Solve Mentally 1. c - 10 = 20 2. 12 = y + 8 3. 7n = 49
6. 6. Algebra Equations Subtraction Equation of Equality: If you subtract the same number from both sides of the equation, the two sides remain equal.
7. 7. Solving Addition and Subtraction Equations Write the equation x + 4 = 9
8. 8. Solving Addition and Subtraction Equations Solve x + 4 = 9 -4 - 4 Subtract 4 from both sides of the equation
9. 9. Solving Addition and Subtraction Equations Solve x + 4 = 9 -4 - 4 x = 5 The solution is 5. Simplify
10. 10. Algebra Equations Addition Property of Equality: If you add the same number to both sides of an equation, the two sides remain equal.
11. 11. Algebra Equations Write the equation x – 13 = 25
12. 12. Algebra Equations x – 13 = 25 + 13 + 13 Add 13 to both sides of the equation
13. 13. Algebra Equations x – 13 = 25 + 13 + 13 x = 12 The solution is x = 12 Simplify
14. 14. Algebra Equations Your Turn You must show your work on these problems even if you can solve them in your head! 1. m + 15 = 34 2. n – 12 = 16 3. d + 10 = 45 4. c – 8 = 14
15. 15. Algebra Equations Your Turn You must show your work on these problems even if you can solve them in your head! 1. m + 15 = 34 m=19 2. n – 12 = 16 n = 28 3. d + 10 = 45 d = 35 4. c – 8 = 14 c = 22