Warm Up. #31 Review Any other questions on the back side of the worksheet?

Slides:

Advertisements

Similar presentations

A.6 Linear Inequalities in One Variable Interval Not.Inequality Not.Graph [a,b] (a,b) [a,b) (a,b] [ ] a b.

Advertisements

U1A L6 Linear, Quadratic & Polynomial Inequalities

Do Now 11/16/09 Take out HW from Friday. Copy HW in your planner.

A3 1.7a Interval Notation, Intersection and Union of Intervals, Solving One Variable Inequalities Homework: p odd.

2.4 – Linear Inequalities in One Variable

Linear Inequalities in one variable Inequality with one variable to the first power. for example: 2x-3

Bell Ringer Solve c – 2 > 20

Linear Inequalities By Dr. Carol A. Marinas. Solving Linear Equations Linear Equations have no exponents higher than 1 and has an EQUAL SIGN. To solve.

Problem of the Day Find an integer x that makes the following three inequalities true: 9 < x < 14, 2x > 22, and –x > –13 x = 12.

Math 021. * Interval Notation is a way to write a set of real numbers. The following are examples of how sets of numbers can be written in interval notation:

How do we solve linear inequalities? Do Now: What do you remember about solving quadratic inequalities?

Again, solve inequalities the same way you solve equations…use the OPPOSITE operation. Remember that when you are MULTIPLYING or DIVIDING by a NEGATIVE.

TODAY IN ALGEBRA…  Warm Up: Solving one-step equations  Learning Goal: 6.2 You will solve Inequalities using multiplication and division  Independent.

One step equations using multiplication and division.

Solving Compound inequalities with OR. Equation 2k-5>7 OR -3k-1>8.

Bell Ringer and turn in quiz into turn spot under light switch Write the equation of the line through (-2, 3) perpendicular to 4x-6y=4.

4.1.2 – Compound Inequalities. Recall from yesterday, to solve a linear- inequality, we solve much like we solve an equation – Isolate the variable –

Ch 2.1 (part 2) One Step Inequalities (Multiplication) Objective: To solve and graph simple inequalities involving multiplication and division.

Review #1. SOLVING LINEAR EQUATIONS, INEQUALITIES AND ABSOLUTE VALUES  Multi-Step Equations  Solve each equation. Check your solution.  1) 4x – 12.

Warm Up Find the number to make the equation true 1) ___+ 9 = 14 2) ___+27= 35 3) ___-19 = 124) 11-___= 19 Simplify each expression 5) -2(3x-8)6) 8x –

Linear Equations with Fractions

Warm-up – pick up handout up front Solve by factoring. 1000x 3 -10x Answers: 1.x=0, x=1/10, x= -1/10 HW 1.7A (2-14 evens, 21-24, ) Solve.

Learning Target: The student will be able to

5.2 – Solving Inequalities by Multiplication & Division.

1.5 Solving Inequalities. Write each inequality using interval notation, and illustrate each inequality using the real number line.

Warm Up. #31 Review Any other questions on the back side of the worksheet?

Do Now 1/10/11  Take out HW from Friday. Text p. 148 Brain Game Text p. 148 Brain Game  Copy HW in your planner. Text p. 151, #10-30 evens Text p. 151,

1.5 Solving Inequalities. Write each inequality using interval notation, and illustrate each inequality using the real number line.

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Warm Up. Any Questions on the Homework? Are we ok with solving complex equations?

Solving Inequalities Just like with equations, the solution to an inequality is a value that makes the inequality true. You can solve inequalities in.

Section 2.5 Solving Linear Inequalities

Algebra 6.2 Solving Multi-Step Linear Inequalities.

Objective The student will be able to: solve equations using multiplication and division.

Final Exam Review of Inequalities

September 20, 2011 At the end of today, you will be able to Solve inequalities and compound inequalities Warm-up: Solve for x 1.│5x│ - 38 = x +

Algebra 2 Today you will need: notebookcalculator.

9-6 SOLVING RATIONAL EQUATIONS & INEQUALITIES Objectives: 1) The student will be able to solve rational equations. 2) The student will be able to solve.

CHAPTER 6 SECTION 2B Solving Inequalities- variable on both sides.

Section 2.6 Solving Linear Inequalities and Absolute Value Inequalities.

5-2 Solving Inequalities by Multiplication & Division N#_____ _____/_____/_____.

Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.

Solving Inequalities Using Multiplication and Division Chapter 4 Section 3.

Solving Absolute Value Inequalities

2.1/2.2 Solving Inequalities

Linear Inequalities in One Variable

U1A L6 Linear, Quadratic & Polynomial Inequalities

Objective 3.6 solve multi-step inequalities.

Ch 6.2 Objective: To solve and graph simple inequalities involving multiplication and division.

One and Two Step Equations and Inequalties

Solving Inequalities Using Multiplication and Division

Solve and graph the inequalities.

Algebraic Inequalities

≤ < > ≥ Solving Inequalities by Multiplying or Dividing

Warm-up: Solve x2 – 3x + 2 = 0 HW: pg (2, 6, 8, 10, 12, 28, 32, 42, 44, 50, 66, 70, 74, 76)

Objective The student will be able to:

2.1 Solving Linear Inequalities

1.5 Linear Inequalities.

2.1 – 2.2 Solving Linear Inequalities

Equations and Inequalities

Several Transformations

Solving Linear Inequalities

Warm-up: State the domain.

Solve equations using multiplication and division.

3-6 Absolute Value Equations and Inequalities

Objective The student will be able to:

1. How do I Solve Linear Equations

Daily Check Solve and Graph on a Number Line

Presentation transcript:

Warm Up

#31 Review Any other questions on the back side of the worksheet?

Objective Students can solve linear equations and inequalities Students can graph inequalities and write them in interval notation. Students can explain how to get rid of fractions

Solving an Equation with a Fraction

Finding the Least Common Multiple When we have multiple fractions we need to find the least common multiple of ALL the fractions in our equation

More than 1 Fraction in the equation

Fractions

More Fraction Practice

Solving equations with inequalities  To solve an equation with an inequality we solve just as we do with an equals sign, except we trade the equals sign (=) for the inequality (, ≤, ≥)  We keep the sign the same unless we DIVIDE BY A NEGATIVE in the final step to get x by itself, in which case, we flip the sign so it opens the opposite way. For example 7x - 3 > 11

Flipping the sign If we divide by a negative in our final step to get x by itself then we flip the sign For Example -3x + 8 < 20

Interval Notation

Examples of unbounded intervals X>7 Graph: x≤6 Graph: X≥25 Graph:

Interval Notation

Examples of unbounded intervals

HW Check