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FIRE UP!!. Turn in your signed syllabus to the front basket. Pickup from Front Desk: Parent Function Packet ½ Page sheet. Welcome BACK! . Warm-up. Distributive Property Simplify the following expression. Discuss with your neighbor. -2(3x – 5) -6x + 10.
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FIRE UP!! • Turn in your signed syllabus to the front basket. • Pickup from Front Desk: • Parent Function Packet • ½ Page sheet Welcome BACK!
Warm-up • Distributive Property • Simplify the following expression. Discuss with your neighbor. • -2(3x – 5) • -6x + 10
Discuss with your neighbor reasons you should learn math! http://youtu.be/yir86f0Uulw
Fortune 500 Companies • We can teach our employees the technical parts of the job, but they need to know how to ask the right questions!! • We are looking for people that are reliable and can problem solve!!!
Parent Function Project • 7 Functions to graph and find key information • Due on test day (9-19/20) • Counts ½ of the test grade • Lots of resources • Websites • Youtube Videos • Textbook • Some time will be given to work on these in class and also ask questions.
Unit 1 Solving Linear Equations
Objectives • I can solve equations with one variable
Vocabulary Terms • Variable • Like Terms
Variable Any letter or symbol used to represent a number that is not known
Like Terms Terms that have the same variables raised to the same powers
Like Term Activity • Group the like terms together in your notes. • Now that they are grouped, COMBINE your LIKE Terms.
Solving Equations • Let’s see what we recall from Algebra-1 to solve an equation for a missing variable??
What really Happened? • What steps really happen to solve that equation?
Equations?? • What happens to a term anytime you move it to the other side of the = ?
Solving Equations • Get the variable terms together on the left side of the equation • Move all the numbers to the other side of the equation. • LAST step is always DIVISION (or Multiply by a reciprocal)
2. x + 1 = 4 x + 1 = 4 x = 3 3 5 5 3 5 3 Multiply each side by , the reciprocal of . – – x = – (3) The solution is 5. ANSWER 3 3 3 – – – 5 5 5 GUIDED PRACTICE Solve the equation. SOLUTION Write original equation. Subtract 1 from each side. x = – 5 Simplify.
In Class Practice • Work with your partner and solve the first 4 problems on the activity. • Check your answers on the website.
Word Problems • The bill for the repair of a car was $420. The cost of parts was $240. The cost of labor was $45 per hour. Write an equation and then solve for how many hours the repair took.
Solution: • Total cost: $420 • Parts: $240 • Labor: $45 per hour • Possible Equation: • Let “x” represent the # of hours • 240 + 45x = 420 • x = 4 hours
In Class Practice • Work with your partner and solve the last word problem on the activity. • Check your answer on the website.
No Variables No Solution All Real Numbers 2x + 4 = 2x + 4 When you subtract the 2x you end up with 4 = 4 This is true Meaning, that every value of “x” will make this equation valid • 2x + 4 = 2x – 3 • When you subtract the 2x you end up with • 4 = -3 • This is not true • Meaning, there is no value for “x” to make this equation valid.
Homework • WS 1-1: Solving Equations • Signed Syllabus if not already returned • Work on Parent Function Project