Solve the following equations for x: 1) 2) 3) 4) 5) 6)

Solve the following equations for x:

1)

2)

3)

4)

5)

6)

2 5x 15

3

x

2 5 21x

4 232

x

10 35 5 10x x

2 3 3 4x x

1. 6x + 12 = -15 + 3x

2. 2x + 3(x – 5) = 25

3. 20 – 7x = -4(2x – 6)

4. 2x + 15 – 5x = 3(x – 7)

2

Sw t

What is the value of w if s = 220 and t = 28?

a) 82

b) 248

c) 124

d) 412

CCGPS Coordinate AlgebraSept. 12, 2012

Today’s Question: How do I solve equations and inequalities?Standard: MCC9-12.A.REI.1, MCC9-12.A.REI.3

Anticipation GuideAnticipation GuideRead each statement below. Using your previous knowledge, determine if the statements are true or false. When we finish the unit on November 13th, we will complete the third column.

StatementTrue/False

PredictionTrue/False &Explanation

Inequalities are solved using the same steps as equations.

Inequalities have only 1 solution.

You flip the inequality symbol when multiplying/dividing by a negative number.

When graphing an inequality, the symbols < and > use a closed circle.

Compound inequalities are two inequalities placed together

The term “or” in an inequality means that the solution will be the intersection of two sets.

When graphing a linear inequality, the symbols < and > uses a dotted/dashed line.

1.Distribute.

2. Combine like terms.

3. Move variable on right side to left side(add or subtract).

4. Get rid of constant (add or subtract).

5. Get rid of coefficient or denominator(divide or multiply).

Inequality SignsInequality SignsWhen graphing the number When graphing the number

use a …use a …

Closed Circle

< >

OPEN Circle

< >

Inequality SignsInequality Signs

Read left to right: a < b    a is less than b

a < b   a is less than or equal to b a > b     a is greater than b

a > b    a is greater than or equal to b

Determine whether the given number is a solution of the inequality.

1.) x + 3 < 6 ; 5

2.) 2x – 3 > -3 ; 1

3.) 4x – 1 3x + 2 ; 3

8 < 6

False, not a solution

2 – 3 > -3

True, it is a solution

-1 > -3

12 – 1 9 + 2

True, it is a solution

11 11

4.) 2Graph x< 5.) 3Graph x

Graph using a number Graph using a number lineline

Opened Circle

Shade to the left

0 1 2 3 4 5

Closed Circle

Shade to the right

-5 -4 -3 -2 -1

6.

x + 4 > 7 -4 -4

x > 3

7.

3 1 2 3x x

2x

Solve. Then graph.Solve. Then graph.

Try TheseTry TheseSolve then graph.Solve then graph.

8.

2 4 22x 9.

3 5 18x

Try TheseTry TheseSolve then graph.Solve then graph.

10.

6 164

x

11.

25 11

3

x

Inequalities

Definition Characteristics

3 examples that are inequalities

3 examples that are not inequalities

Inequalities

Definition

An inequality is a statement with a symbol of < ,≤, >, or ≥ between numerical or variable expressions

Characteristics

3 examples that are inequalities

3 examples that are not inequalities

Set of points on a number line

Graphing: Open or closed

circle and a line

Assignment 1 (Classwork)

Jaden’s Phone Plan

Assignment 2 (Homework)

Worksheet