Objectives: Solve & graph one-step equations & inequalities by adding or subtracting.

Slides:

Advertisements

Similar presentations

Solving Equations Algebra Tiles.

Advertisements

3-5 Solving Equations with the variable on each side Objective: Students will solve equations with the variable on each side and equations with grouping.

3-3 Solving Multiplication Equations. Solve Solution GOAL Find the value of the variable that makes the equation TRUE. The value that makes the equation.

Solving Equations by Adding and Subtracting: Vocabulary Solve: To solve an equation mean to find a solution to the equation. Isolate the variable: Get.

6-1 Solving Inequalities by Addition and Subtraction Objective: Students will be able to solve linear inequalities by using addition and subtraction.

Inequalities. Equation Inequality A statement that asserts the equality of 2 terms A relationship between 2 terms that are of unequal value Contains an.

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.

Chapter 4 Inequalities < Less Than > Greater Than.

Chapter 4 Inequalities 4.1 Inequalities and Their Graphs.

7.5 Linear Inequalities.

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

Solving Linear Equations with a variable on only one side of the equation.

Ch 2.5 Variable on Both Sides Objective: To solve equations where one variable exists on both sides of the equation.

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.

Algebra 1 Chapter 3 Section Solving Inequalities With Variables on Both Sides Some inequalities have variable terms on both sides of the inequality.

4.1.1 – Solving Inequalities. All equations we have solved are considered problems of equality – Involves some kind of equal sign On the other hand, we.

Solving Inequalities. What is an inequality?  Better known as “pac-man’s”  Compares the left side to the right side.  Four different inequality symbols:

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

Chapter 2 Inequalities. Lesson 2-1 Graphing and Writing Inequalities INEQUALITY – a statement that two quantities are not equal. SOLUTION OF AN INEQUALITY.

1.4 Solving Multi-Step Equations. To isolate the variable, perform the inverse or opposite of every operation in the equation on both sides of the equation.

Expression or Equation? 3x + 7 4y – 10 = 54 5z + 32 = 47 6x + 2y (8x – 1) 2 + y 2x = 16.

  Clear the parentheses using distribution  Combine variable terms  To keep from having to multiply or divide by a negative number, make sure the.

Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides  1) Do distributive property  2) Combine like terms.

Solving One-Step Inequalities

Solving two step Inequalities < < < > < > <

1. 4 [ -2(4 + 1) ÷ 5] – 4 ÷ x + (-8) = 4. Equations with Fractions Equations w/ Distributive Property Equations & Combining Like Terms Equations.

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

Bell Ringer: 8/17/15  Solve the following equation:

Opener (5 + 6) • 2 a + (b + c) + (d • e) 18k x2 + 5x + 4y + 7

3.5 Solving Equations with Variables on Both Sides.

Before: September 21, During: Solving One- Step Inequalities Learning Target: I can solve one-step inequalities by using addition, subtraction,

Systems of Equations: SOLVING BY SUBSTITUTION OR ELIMINATION.

Lesson 7.3 Solving Addition and Subtraction Equations 2/2/10.

3. 3 Solving Equations Using Addition or Subtraction 3

2-2 Solving One-Step Equations

My Equations Booklet.

Graphing and Solving Inequalities

Objectives Identify solutions of inequalities Graphing Inequalities

Properties of Equality and Solving One-Step Equations

Objective 3.6 solve multi-step inequalities.

One and Two Step Equations and Inequalties

Solving 1-Step Integer Equations

Objectives: Solve equations that contain variable terms on both sides.

Objectives: Solve two step and multi-step inequalities.

Solving Equations and Inequalities

Objectives: Solve & graph one-step equations & inequalities by adding or subtracting.

Solving & Graphing Inequalities

isolate inverse opposite constants coefficients reciprocal subtraction

1-5 Solving Inequalities

Objectives: Solve one-step equations using multiplication or division.

Solving and Graphing Linear Inequalities

Lesson 6.1 – 6.2 How do you solve and graph inequalities using addition and subtraction? Solve the inequality by adding, subtracting, multiplying or dividing.

Solving and Graphing Linear Inequalities

Equation- a math sentence with an equal sign.

Solving Inequalities by Adding or Subtracting

Solving Quadratics Using Square Roots

Expressions and Equations

2-2 Solving One-Step Equations

Several Transformations

Notes 8th Grade Math McDowell Chapter 2.

UNIT SELF-TEST QUESTIONS

Exercise Solve and check x – 3 = 5. x = 8 8 – 3 = 5.

3(9z + 4) > 35z – 4 Original problem. Solve each inequality. Then graph the solution set on the number line. 3(9z + 4) > 35z – 4 Original problem.

1.3:Solving and Graphing Linear Inequalities

Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.

Objectives: Solve one-step equations using multiplication or division.

Objectives: Solve two step and multi-step equations.

Objectives: Solve equations that contain variable terms on both sides.

Presentation transcript:

Objectives: Solve & graph one-step equations & inequalities by adding or subtracting.

Inverse Operations To solve equations we isolate (get by itself) variables by using inverse operations. The following needs to be memorized: Inverse Operations Addition Subtraction Multiplication Division Square x2 Square Root

Steps to solving ALL equations Clear parenthesis (Use distributive Property) Combine Like Terms on each side of the = Move all variables to one side of the “=“ using inverse operations (+ or -) Move all constants (numbers) to the other side of the “=“ using inverse operations (+ or -) Get rid of the constant (number) attached to the variable by either (x or ÷)

= z – 1 2 5 1. 2. y – 8 = 24 + 8 + 8 + 1 2 y = 32 = z 5.5 m + 17 = 33 –11 + x = 33. 3. 4. – 17 –17 +11 +11 m = 16 x = 44

The following symbols need to be memorized…. When graphing inequalities the symbol tells you what type of dot you should have. Hint: If there is a solid line under the symbol you should have a solid dot!

Before graphing an inequality make sure that your variable is on the LEFT side. If this is true the arrow should point in the same direction as the symbol. Symbol points LEFT, Arrow points LEFT Symbol points RIGHT, Arrow points RIGHT

Flip the numbers, flip the sign. If the variable is on the right…. Flip the numbers, flip the sign. Example: 6 > x becomes x < 6

5. Graph x < 7 6. Graph -3 < x

7. Graph x ≥ -2 8. Graph 4 ≤ x

All inequalities have an infinite number of solutions. ANY number that falls on the arrow is considered a solution. Example: –4 –3 –2 –1 1 2 3 4 5 6 Solutions: 0, -1, -2, -3, -1000, -10,000,000… NOT solutions: 1, 2, 3, 4, 5, ….

If you have an OPEN dot… that number is NOT a solution. Example:

x + 12 < 20 x < 8 d – 5 > –7 +5 +5 d > –2 Solve the inequality and graph the solutions. 9. 10. x + 12 < 20 –12 –12 x < 8 –10 –8 –6 –4 –2 2 4 6 8 10 d – 5 > –7 +5 +5 d > –2 –10 –8 –6 –4 –2 2 4 6 8 10

Solve the inequality and graph the solutions. 11. 12. s + 1 ≤ 10 –1 –1 s ≤ 9 9 –10 –8 –6 –4 –2 2 4 6 8 10 -5 ≤ y +2 –2 –2 –10 –8 –6 –4 –2 2 4 6 8 10 -7 ≤ y y ≥ -7