Warm up 8/21

solve for x:

1. 8(x-5) = 72

2. -27 = 3(x-3)

3. 5-4c=c+20

Be seated before the bell rings

DESK

homeworkWarm-up (in your notes)

Quiz – Tuesday 8/12

Agenda:

WarmupGo over hw p. 70

Note 2.1 & 2.2 notes

Don’t forget test retakes

NotebookTable of content

Page1

1

1) 1-1 Sets of Numbers /1.2 Properties of Numbers

2.1 Linear Equations/

2.2 Proportions 2) 1-3 Square Roots

3) 1-4 Simplify Algebra Expression

4) 1.6 Relations/1.7 functions

5) 1.9 Parent Functions

6) 2.1 Linear Equations/

2.2 Proportions

2.1 Linear Equations/ 2.2 Proportions

• 2.1: I can solve linear equations using a variety of methods

• 2.1: I can solve and graph linear inequalities in one variable

• 2.2: I can solve proportions• 2.2: I can solve percentage and unit rate

problems using a proportion

Learning targets

Give one, get one

-Time to look through the textbook

-Take three stick notes and answer 3 questions( one on each) . Use complete sentences - Share it with some one around the classroom

1) What are some ways to solve a linear equation?

p. 90 - 99

2) What are some things I need to know about solving inequalities?

3) What are proportions? How do you solve them? What are rates?

2.1 Linear Equations/ 2.2 Proportions

When Solving equations, these are things I should do.

-Whatever I do to one side of the equation, I should to do to the other side of the equation

-I should use the distributive property

-Combine like-terms and put all variables on one side

There might be contradictions when solving an equation.

Answer: No solution

Answer: All real numbers

Solving Inequalities

Ex: 9x + 4 < 12x − 11

solve like a normal.EXCEPT when you multiply or divide by a negative, you have to switch the inequality sign.

-2x < 8

9 27

1. 4 x

9x= 27(4)9x= 1089 9

x = 12

Cross Product also allows use to solve proportions

Solve Proportions Solve Proportions

x 7

3 62.

5 w 3

-9 -93w+9 = 30

3w = 21

3 = 3

3(w+3) = 5(6)

Use Cross Product to solve Proportions

5 3

3. x 2 x 1

1

x2

5(x+1) = 3(x+2)

-3x -3x5x+5 = 3x + 6

2x = 1

2 = 2

-5 -5

Percent = part 100 whole

Percent Problems

At Clay High School, 434 students, or 35% of the students, play a sport. How many students does Clay High School have?

= 35 434

x100

35x = 43400

35 35

x = 1240Clay High School has 1240 students.

Percent = part 100 whole

Percent Problems

A college brochure states that 11.5% of the students attending the college are majoring in engineering. If 2400 students are attending the college, how many are majoring in engineering?

= 11.5 x

2400100

27600 = 100x

100 100

x = 276276 are majoring in engineering.

Summarize:

In 20 words are less summarize the what you learned this week. You may reference your notebook.

Cut up your triangles

Solve the problems on the ws.

Match problems to solutions to form large hexagon

More Examples

http://www.quia.com/rr/4096.html

Rations

http://www.quia.com/rr/924294.html

2.2 Proportions

A.

206.4 = 24p

=16 24 p 12.9

24 24

8.6 = p

14 c 88 132

=B.

88c = 1848

c = 21

88 88

x 16.

1 x 1

( )(x 1) 1x

2 1x x 11

2 1 0x x

2 0x xba c 2 4

2x

cb b a

a

1 a 1c 1b

2 4( )

(

( ) ( (

2 )

) )x

-1 -1 11

-1

1 1 4

2x

1 5

2x

1 5

2x

1 5

2x

1.618x .618x

Solve each proportion.

A.

924 = 84y Set cross products equal.

=

=

y 77

12 84

y 77

12 84

Divide both sides.

11 = y

15 2.5

x 7 =

924 84y

84 84 =

=

B.

15 2.5

x 7

2.5x =105

=2.5x 1052.5 2.5

x = 42

More Examples

Lesson Quiz: Part I

Solve each proportion.

1. 2.

3. The results of a recent survey showed that 61.5% of those surveyed had a pet. If 738 people had pets, how many were surveyed?

4. Gina earned $68.75 for 5 hours of tutoring. Approximately how much did she earn per minute?

k = 8 g = 42

$0.23

1200

5. A 12-foot flagpole casts a 10 foot-shadow. At the same time, a nearby building casts a 48-foot shadow. How tall is the building?

57.6 ft

Lesson Quiz: Part III