Today:

Warm Up (5)Solving One-Step InequalitiesUsing Addition, Subtraction,

Multiplication & DivisionClass Work

November 10, 2014

November 10, 2014

Notebooks

1. Draw a line under each section when you first use it this quarter, and write 2nd Qtr. Below.

2. The single biggest improvement for most notebooks is to have more content. More warm up questions, class notes, etc. You need to get the notes for any day you miss. 3. Some notebooks are running out of pages. Now would be a good time to replace your notebook so you don’t have to rewrite everything in to your new notebook for this qtr. 4. During the 2nd qtr., you will be allowed to use your notebooks during all tests except the final exam. Completeness and organization are particularly important.

Grades

1. Unfortunately, most discussion about grades involves what problems were wrong, what work wasn’t done, how one could improve, etc. However....2. Final exam grades posted. Final qtr. grades posted by

Tuesday.3. I am going to try to reserve d101 one day a week. (No guarantees). You can BYOD; the day is reserved for Khan Academy and our class work. If the day is productive, we will continue, the reverse is also true.

Warm-Up Section

Of Note book

Khan Academy:

There were 14 topics to master this quarter. Many of you mastered all 14. A review of the topics for November 16...

Khan Academy:

Solve for y; x =

A = -1.5

y =

= 16x2y2 - 21xy3 - 6x2

Warm-Up

Solving One-Step Inequalities

Using Addition, Subtraction, Multiplication & Division

Goal To solve and graph one-step inequalities in

one variable using addition or subtraction.

Goal To solve and graph one-step inequalities in

one variable using addition or subtraction.

EXAMPLE

1 Graph an Inequality in One Variable

Write a verbal phrase to describe the inequality. Then graph the inequality.

INEQUALITY VERBAL PHRASE GRAPH

1. x < 2

All real numbers greater than -2

2.

Use your notebook for both the phrase and the graph.

Write a verbal phrase to describe the inequality. Then graph the inequality.

Checkpoint Graph an Inequality in One Variable.

x -1

A solution of an inequality in one variable is a value of the variable that makes the inequality true.

Equivalent inequalities have the same solutions.

EXAMPLE: x 5 and 5 x are equivalent inequalities.

Solve the inequality. Then graph the solution.

Checkpoint Use Subtraction to Solve an Inequality

5. x + 4 < 7

-3 < y – 2

11. Ms. Dewey is flying to San Diego to see her parents. The airline lets her check up to 65 pounds of luggage for free. Her suitcase weighs 37 pounds. How much can her other suitcase weigh without paying a penalty?

Checkpoint Write and Graph an Inequality in One Variable

We don’t know the weight of the second suitcase, w. 37 + w < 65

-37 -37

w < 28 lb The 2nd suitcase has to be no more than 28 pounds.

Solve the inequality. Then graph the solution

Checkpoint Multiply or Divide by a Positive Number.

4. -21 3y

1. 2

1

4

k

Things to remember about Multiplying and Dividing Inequalities!

• Divide both sides of an inequality by a NEGATIVE number and the inequality flips and faces the other way.

• Multiply both sides of an inequality by a NEGATIVE number and the inequality flips and faces the other way.

EXAMPLE

3 Multiply by a Negative Number

Solve . Then graph the solution.52

1 y

EXAMPLE

4 Divide by a Negative Number

Solve . Then graph the solution.208 x

Solve the inequality. Then graph the solution

Checkpoint Multiply or Divide by a Negative Number.

5. 15

1 p

6. 53

2 x

Solve the inequality. Then graph the solution

Checkpoint Multiply or Divide by a Negative Number.

10. 12 > -5n

9. t624

Assignment:

Properties

Section

Of Note book

PROPERTIES OF INEQUALITY

Addition Property of Inequality

For all real numbers a, b, and c:

If a > b, then a + c > b + c

If a < b, then a + c < b + c

Subtraction Property of Inequality

For all real numbers a, b, and c:

If a > b, then a - c > b - c

If a < b, then a - c < b - c

PROPERTIES OF INEQUALITY

Multiplication Property of Inequality (c < 0)

For all real numbers a, b, and for c < 0:

If a > b, then ac < bc

If a < b, then ac > bc

Division Property of Inequality (c < 0)

For all real numbers a, b, and c < 0:

If a > b, then a ÷ c < b ÷ c

If a < b, then a ÷ c > b ÷ c