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2-Solving equations

2-Solving equations. Adding, Subtracting, dividing, multiplying. Properties. F ill in the blank. 5 + __ = 5 21 + __ = 0. Multiplicative Inverse Property Multiplicative Identity Property Properties of Zero Additive Inverse Property Additive Identity Property. Vocabulary.

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2-Solving equations

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  1. 2-Solving equations Adding, Subtracting, dividing, multiplying

  2. Properties Fill in the blank. • 5 + __ = 5 • 21 + __ = 0 • Multiplicative Inverse Property • Multiplicative Identity Property • Properties of Zero • Additive Inverse Property • Additive Identity Property

  3. Vocabulary An equation is a mathematical statement that two expressions are equal. A solution of an equation is a value of the variable that makes the equation true. To find solutions, isolate the variable. A variable is isolated when it appears by itself on one side of an equation, and not at all on the other side.

  4. SOLVING EQUATIONS

  5. Isolate a variable by using inverse operations which "undo" operations on the variable. An equation is like a balanced scale. To keep the balance, perform the same operation on both sides.

  6. PRACTICE • 1) 75k= 15 2) n – 3.2 = 5.6 • 3) –6 = k –6 4) 4.2 = t +1.8

  7. 1 2 PRACTICE j • 5) d + = 1 6) • 7) 8) –8 = 3 n = 2.8 –4.8 = –6v 6

  8. PRACTICE • 9) 10)

  9. Town population Over 20 years, the population of a town decreased by 275 people to a population of 850. Write and solve an equation to find the original population. p– d = c The original population was 1125

  10. Maximum heart rate • A person's maximum heart rate is the highest rate, in beats per minute, that the person's heart should reach. One method to estimate maximum heart rate states that your age added to your maximum heart rate is 220. Using this method, write and solve an equation to find a person's age if the person's maximum heart rate is 185 beats per minute. a+ r = 220 A person whose maximum heart rate is 185 beats per minute would be 35 years old. a = 35

  11. TICKET OUT THE DOORShow all work. • r – 4 = –8 2) • 3) 4) 126 = 9q

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