fire up!! welcome back! 1.turn in your signed syllabus to the front basket. 2. pickup from front...

FIRE UP!!Welcome BACK!

1. Turn in your signed syllabus to the front basket.

2. Pickup from Front Desk:- Parent Function Packet- ½ Page sheet

Warm-up• Distributive Property

• Simplify the following expression. Discuss with your neighbor.

• -2(3x – 5)

• -6x + 10

http://youtu.be/yir86f0Uulw

Why Learn Math??

Discuss with your neighbor reasons you should learn math!

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

What do you think a variable is?

Like Terms

Terms that have the same variables raised to the same

powers

What do you think like terms are?

Think of Money

Are these all like terms?

Like Term Activity

• Group the like terms together in your notes.

• Now that they are grouped, COMBINE your LIKE Terms.

x 2y -x y 17

9 -1 2x2 -3y 12x 3-7x 5y 2 3x2 9y -x2

Like Term Activityx 2y -x y 17

9 -1 2x2 -3y 12x 3-7x 5y 2 3x2 9y -x2

2 2 22 , 3 ,x x x 3 , 5 , 9y y y

1, 3, 212x

Combining Like Terms

2 2 22 , 3 ,x x x

3 , 5 , 9y y y

1, 3, 2

12x

24x

11y

12x

4

Solving Equations

• Let’s see what we recall from Algebra-1 to solve an equation for a missing variable??

Alg-1 Recall

How do you solve this equation for "x"?

5 6 2 9x x ?Volunteers

5 6 2 9x x 2x2x

3 6 9x 6 6

3 15x

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 = ?

3 7 12x

3 7 12x 3 12 7x 3 19x 19

3x

4 2 7 13x x 7 4 13 2x x

3 15x 5x

Solving Equations

1. Get the variable terms together on the left side of the equation

2. Move all the numbers to the other side of the equation.

3. LAST step is always DIVISION (or Multiply by a reciprocal)

Example 1

4 8 2 6x x 4 2 6 8x x

2 14x 7x

Example 2

3(2 4) (3 6)x x 6 12 3 6x x

9 6x 6 2.67

9 3x

6 3 6 12x x

What about FRACTIONS??

35

4x

Multiply by

reciprocal4

3

4

3

20

3x

GUIDED PRACTICE

Solve the equation.

35

–2. x + 1 = 4

SOLUTION

Write original equation.

Simplify.

ANSWER The solution is 5.

35

– x + 1 = 4

x = – (3)53

x = – 5

Multiply each side by , the reciprocal of .

53

–35

–

Subtract 1 from each side.35

– x = 3

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 Left

What does it mean if you don't have

any variables left as you solve the problem?

No Variables

No Solution• 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.

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

Homework

• WS 1-1: Solving Equations • Signed Syllabus if not already returned• Work on Parent Function Project