Warm up 8/21 solve for x: 1. 8(x-5) = 72 2. -27 = 3(x-3) 3. 5-4c=c+20.
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Transcript of Warm up 8/21 solve for x: 1. 8(x-5) = 72 2. -27 = 3(x-3) 3. 5-4c=c+20.
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