Download Equations Lesson 6.9 Equations vs Inequalities

Equations Lesson 6.9 Equations vs Inequalities SWS 3.1.notebook
Inequalites Equations and Inequalities
• Students will solve an inequality.
• Students will write an inequality from real­world problem situation.
Solve each equation. Then check your solution.
TEKs
8.8 ­ The student applies mathematical process standards to use one­variable equations or inequalities in problem situations. 8.8A ­ Write one­variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants 8.8B ­ write a corresponding real­world problem when given a one­variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants 1. 3a ­ 1 = 4
2
2
2. v ­ 6 = 14
9
answer
3. m ­ 5m + 3 = 47
4.
Mandy bought a DVD player. The sales clerk says that
if she pays $80 now, her monthly payments will be
$32. The total cost will be $400. Solve 80 + 32x =
400 to find how many months she will make payments.
10
15
Title Page
1. a = 3
2. v = 90
3. m = ­11
4. A
12
11
Warm Up
1. a. n = 17
Practice Answers
b. graph – where two lines intersect
table – where y vales are the same
c. 650 + 30(n – 10) is equivalent to 350 – 3n
2. 8
3. 12
Maintain Your Skills
4. x = 1
1. a. 3.6 x 104
5. n = ­4
b. 2.5 x 10­5
6. h = 1
c. 5.08 x 106
7. x = 0, one solution
2. a. 35,200
8. 0 = 0; all real numbers
b. .0000028
c. 81,020,000
3. C
Practice Answers
What do you call a crushed angle?
Practice Worksheet
Math Humor
What number would make these statements true?
Tonight you will have fewer than 100 problems for homework?
a­rect­angle
rectangle
Tomorrow the temperature is going
to be greater than 10 degrees.
You have at least $3.50 in
your piggy bank.
Math Humor
Introduction
1
Equations Lesson 6.9 Equations vs Inequalities SWS 3.1.notebook
equatıons
ınequalıtıes
Launch
click here for video
One Answer
Many Answers
Equations vs Inequalities
Launch
Cut and tape Labsheet in your journal
Find a Friend
P < 5s ­ (100 + 2s)
1.
P = _________________
1.
<
Pull
5s = ________________
(100 + 2s) = __________
2. At least many boxes to make profit of $200?
2.
3. At least many boxes to break even? _____________________
4. Write simpler expression. __________________________
4. P < 3s ­ 100 5. One of the choir members wrote the following expression for profit: 5s – 2(50 + s). Explain whether the expression is equivalent to the original one. Find a friend and tell them the differences
between an equation and an inequality.
Labsheet
Find A Friend
______
Date
Be able to stop 9­11...
or the Holocaust?
Equations vs Inequalities
1. What is the • equation • one answer
difference • =
between • graph is dot on number line
equations and • graph is line on coordinate plane
inequalities ?
• inequalities
• many answers
• >, >, <, <
• graph using arrows on number line
Graph of x<­1
Would You Rather?
• graph has shading on coordinate plane Notes
2
Equations Lesson 6.9 Equations vs Inequalities SWS 3.1.notebook
2. How to solve an inequality ?
• Same as equation
•
Variable on one side
(use adding / subtracting)
•
Isolate the Variable
(use multiplication / division)
(negative # / flip inequality)
3. What are the key phrases for inequality symbols?
<
• less than
• is fewer than
>
• less than or equal to
• no more than
• at most
≤
Example
• greater than or equal to
• no less than
• at least
≥
­3x > 15
­3
­3
x < ­5
Notes
• greater than
• more than
• exceeds
Notes
Write and solve the inequality. Test your answer.
Practice
Equations vs Inequalities
Worksheet
+ 3; 2 > x
Activity
Practice
Closing Questions
Which graph has arrows? (inequality on number line)
What happens to an inequality if multiply or divide by negative number? (flip the sign)
Closing Questions
3
Attachments
IIS Investigation 1.1.webm
Greeting Cards ﴾equations﴿.mp4