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

Slides:



Advertisements
Similar presentations
Solving Inequalities.
Advertisements

Inequalities Graphing and solving.
Solving Inequalities Pages Solving Inequalities ● Solving inequalities follows the same procedures as solving equations. ● There are a few.
Linear Inequalities in one variable Inequality with one variable to the first power. for example: 2x-3
6-1 Solving Inequalities by Addition and Subtraction Objective: Students will be able to solve linear inequalities by using addition and subtraction.
Solving One-step Inequalities. Inequalities Inequalities are similar to equations when solving. You can add, subtract, multiply or divide any amount to.
 Solving inequalities follows the same procedures as solving equations.  There are a few special things to consider with inequalities: ◦ We need to.
An equation is a mathematical statement that two expressions are equivalent. The solution set of an equation is the value or values of the variable that.
Solving Compound inequalities with OR. Equation 2k-5>7 OR -3k-1>8.
Solve the following equations for x: 1) 2) 3) 4) 5) 6)
4.1 Solving Linear Inequalities
Inequalities in One Variable.  Use the same process for solving an equation with TWO exceptions: ◦ 1) Always get the variable alone on the LEFT side.
Inequality Symbols Topic: Solving Inequalities
Solving Inequalities Using Addition & Subtraction.
Inequalities Symbols and line graphs. Symbols  < is less than  > is greater than  < is less than or equal to  > is greater than or equal to points.
Learning Target: The student will be able to
2-step inequalities  Earlier in the year, we learned how to solve inequalities. Remember what the open circle And closed circle represent?
Solving Inequalities. What is an inequality?  Better known as “pac-man’s”  Compares the left side to the right side.  Four different inequality symbols:
Warm Up Solve the equation.. answers 1. x = 7 and x = x = 3 and x = x = 5 and x = 1 4. x = -2 ½ and x = -6 ½ 5. x = 1 and x = -2.
 Solve the following equations. 1. 3x= x+3= (x+1)=12.
1.4 Solving Inequalities I can: 1.Graph inequalities 2.Solve inequalities.
One Step Inequalities Review. Adding Negative Numbers: Same signs add and keep the sign Different signs subtract and keep the sign of the larger Subtracting.
One Step Equations and Inequalities Review
  Clear the parentheses using distribution  Combine variable terms  To keep from having to multiply or divide by a negative number, make sure the.
Inequalities.
Graphing Linear Inequalities 6.1 & & 6.2 Students will be able to graph linear inequalities with one variable. Check whether the given number.
Notes 3.4 – SOLVING MULTI-STEP INEQUALITIES
Inequalities Objective: To solve and graph all types of inequalities.
Two-step Inequalities SOL 8.15 cont.. What is an inequality? An inequality is a mathematical sentence that compares expressions using: < less than > greater.
CHAPTER 6 SECTION 2B Solving Inequalities- variable on both sides.
8.8 Solving Multi-Step Equations and Inequalities.
Solve the following equations for x: 1) 2) 3) 4) 5) 6)
Solving Inequalities Objective: SWBAT solve inequalities and represent solutions to inequalities graphically while using set notation. Advanced Algebra.
Solving Equations with Variables on Both Sides. Review O Suppose you want to solve -4m m = -3 What would you do as your first step? Explain.
Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.
Solving Inequalities. ● Solving inequalities follows the same procedures as solving equations. ● There are a few special things to consider with inequalities:
© William James Calhoun, 2001 OBJECTIVES: You will solve linear inequalities involving more than one operation and find the solution set for a linear.
Bell Ringer: 8/17/15  Solve the following equation:
3.5 Solving Equations with Variables on Both Sides.
Warm-up: Solve for x. 6x + 12 = x 2x + 3(x – 5) = 25
Objective 3.6 solve multi-step inequalities.
Solving 1-step Inequalities
Algebraic Inequalities
Objectives: Solve & graph one-step equations & inequalities by adding or subtracting.
6-5 Linear Inequalities.
Objectives: Solve one-step equations using multiplication or division.
Solving Inequalities.
Lesson 3.1 – 3.2 How do you solve one-step equations?
Solving Inequalities Equations
Solving Inequalities Equations
6.1 to 6.3 Solving Linear Inequalities
6.1 to 6.3 Solving Linear Inequalities
2.1 Solving Linear Inequalities
Solving Inequalities.
Solving Inequalities.
1.6 Solving Inequalities.
2.1 – 2.2 Solving Linear Inequalities
1.6 Solving Inequalities.
1.6 Solving Inequalities.
Solving Inequalities Solving inequalities follows the same procedures as solving equations. There are a few special things to consider with.
Solving Linear Inequalities
1.6 Solving Linear Inequalities
1.6 Solving Inequalities.
Solving Inequalities Equations
Lesson Graphing & Solving Inequalities
2.3 Solving Inequalities.
Objectives: Solve & graph one-step equations & inequalities by adding or subtracting.
Objectives: Solve one-step equations using multiplication or division.
Presentation transcript:

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

1.Distribute if there are parenthesis. 2. Combine like terms. 3. Move variable on right side to left side (add or subtract). 4. Move constants on left side to right side (add or subtract). 5. Get rid of coefficient or denominator (divide or multiply). 6. IF, you multiply or divide by negative number in Step 5, flip the inequality symbol.

Inequality Signs When graphing the number use a … Closed Circle OPEN Circle Less than or equal to: Less than: Greater than or equal to: Greater than:

Inequality 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 > – 1  True, it is a solution 11  11

Graph using a number line Opened Circle Shade to the left Closed Circle Shade to the right

6. x + 4 > x > 3 Solve. Then graph.

Try These Solve then graph.

Classwork: Workbook p. 71 – 72 Closing: Write your own inequality to solve. Explain in your own words all the steps to solving the inequality. Homework: Textbook p. 111 (1-17)odd.