Holt Algebra 1 3-5 Solving Inequalities with Variables on Both Sides Solve inequalities that contain variable terms on both sides. Objective.

Slides:



Advertisements
Similar presentations
Learning Target Students will be able to: Solve compound inequalities with one variable and Graph solution sets of compound inequalities with one variable.
Advertisements

2.1 Solving Equations and Inequalities. The local phone company charges $12.95 a month for the first 200 of air time, plus $0.07 for each additional minute.
Preview Warm Up California Standards Lesson Presentation.
Algebra 1 Chapter 3 Section 7.
Do Now: Solve the following equations
Warm Up Solve each equation. 1. 2x = 7x x = –3
13.7 – Graphing Linear Inequalities Are the ordered pairs a solution to the problem?
Holt McDougal Algebra Solving Inequalities with Variables on Both Sides Solve inequalities that contain variable terms on both sides. Objective.
Solving Inequalities with Variables on Both Sides
Example 1: Solving Inequalities with Variables on Both Sides
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.
Holt Algebra Solving Inequalities with Variables on Both Sides Students will be able to: Solve inequalities that contain variable terms on both sides.
Set Operations and Compound Inequalities. 1. Use A = {2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9}, and C = {2, 4, 6, 8} to find each set.
Compound Inequalities – Day 1 October 1, x  -12 (-12,  ) x ≤ 9 (- , 9] SWBAT: Solve and graph solutions sets of compound inequalities with one.
Holt Algebra Solving Two-Step and Multi-Step Equations Multi-step Equations.
Martin-Gay, Beginning Algebra, 5ed Using Both Properties Divide both sides by 3. Example: 3z – 1 = 26 3z = 27 Simplify both sides. z = 9 Simplify.
Algebra 3.4 & Solving Two-Step and Multistep Inequalities
Solving Absolute Value Inequalities
Holt Algebra Graphing and Writing Inequalities Warm Up Compare. Write, or =. 1. − < > > = Tell whether the inequality x
CONFIDENTIAL 1 Algebra1 Solving Inequalities with variables on Both Sides.
Holt Algebra Solving Linear Equations and Inequalities Section 2.1 Solving Linear Equations and Inequalities.
Objectives Solve compound inequalities in one variable involving absolute-value expressions.
3-5 Solving Inequalities with Variables on Both Sides Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.
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.
Holt Algebra Solving Inequalities with Variables on Both Sides Solve inequalities that contain variable terms on both sides. Objective.
Holt McDougal Algebra 1 Solving Inequalities with Variables on Both Sides 4m – 3 < 2m + 6 To collect the variable terms on one side, subtract 2m from both.
Chapter2 2-5 solving inequalities with variables on both sides.
Holt McDougal Algebra Solving Absolute-Value Inequalities Solve compound inequalities in one variable involving absolute-value expressions. Objectives.
Holt McDougal Algebra Solving Equations with Variables on Both Sides 1-5 Solving Equations with Variables on Both Sides Holt Algebra 1 Warm Up Warm.
Solve 7n – 2 = 5n + 6. Example 1: Solving Equations with Variables on Both Sides To collect the variable terms on one side, subtract 5n from both sides.
Holt Algebra Solving Inequalities with Variables on Both Sides Solve inequalities that contain variable terms on both sides. Objective.
Appendix A.6 Solving Inequalities. Introduction Solve an inequality  Finding all values of x for which the inequality is true. The set of all real numbers.
Holt McDougal Algebra 2 Solving Radical Equations and Inequalities Solving Radical Equations and Inequalities Holt Algebra 2Holt McDougal Algebra 2 How.
Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l
Algebra 1: Section 3-1 Inequalities and Their Graphs.
Algebra 1 Section 7.6 Solve systems of linear inequalities The solution to a system of linear inequalities in two variable is a set of ordered pairs making.
Identities, Contradictions and Conditional Equations.
Solving Inequalities with Variables on Both Sides
Example: Solve the equation. Multiply both sides by 5. Simplify both sides. Add –3y to both sides. Simplify both sides. Add –30 to both sides. Simplify.
Algebra Bell-work 9/13/17 Turn in your HW! 1.) 7x – 6 = 2x + 9
Absolute Value Inequalities
Solving Inequalities Using Addition and Subtraction
Solving Inequalities with Variables on Both Sides
Solving Inequalities with Variables on Both Sides
Warm Up Solve each equation. 1. 2x = 7x (p – 1) = 3p + 2.
Solving Inequalities with Variables both Sides.
Objectives: Solve equations that contain variable terms on both sides.
Algebra: Equations and Inequalities
Warm Up Solve each equation. 1. 2x = 7x x = –3
Solving Equations with variables on each side
Objective Solve equations in one variable that contain variable terms on both sides.
Equations with Variables on Both Sides Day 2
Graphing systems of linear equations and inequalities
6.1 to 6.3 Solving Linear Inequalities
Objective Solve inequalities that contain variable terms on both sides.
Solving Inequalities with Variables on Both Sides
Learning Target Students will be able to: Solve inequalities that contain variable terms on both sides.
1.6 – Variables on Both Sides
SECTION 2-4 : SOLVING EQUATIONS WITH THE VARIABLE ON BOTH SIDES
Objective Solve equations in one variable that contain variable terms on both sides.
Lesson Objective: I will be able to …
HW: Maintenance Sheet DUE
Algebra 1B – Name: _________________________
Solving Inequalities with Variables on Both Sides
Solving Inequalities with Variables on Both Sides
2-3 Equations With Variables on Both Sides
3-2 Solving Inequalities Using Addition and Subtraction
2 Chapter Chapter 2 Equations, Inequalities and Problem Solving.
Objectives: Solve equations that contain variable terms on both sides.
Solving Inequalities with Variables on Both Sides
Presentation transcript:

Holt Algebra Solving Inequalities with Variables on Both Sides Solve inequalities that contain variable terms on both sides. Objective

Holt Algebra Solving Inequalities with Variables on Both Sides

Holt Algebra Solving Inequalities with Variables on Both Sides Solve the inequality and graph the solutions. y ≤ 4y + 18 –10 –8 –6–4 – m – 3 < 2m

Holt Algebra Solving Inequalities with Variables on Both Sides Solve the inequality and graph the solutions. 4x ≥ 7x + 6 –10 –8 –6–4 –

Holt Algebra Solving Inequalities with Variables on Both Sides The Home Cleaning Company charges $312 to power-wash the siding of a house plus $12 for each window. Power Clean charges $36 per window, and the price includes power-washing the siding. How many windows must a house have to make the total cost from The Home Cleaning Company less expensive than Power Clean? 13 < w The Home Cleaning Company is less expensive for houses with more than 13 windows.

Holt Algebra Solving Inequalities with Variables on Both Sides Solve the inequality and graph the solutions. 2(k – 3) > 6 + 3k – 3 –12–9–6–303

Holt Algebra Solving Inequalities with Variables on Both Sides Solve the inequality and graph the solution. 0.9y ≥ 0.4y – 0.5 –5 –4 –3–2 –

Holt Algebra Solving Inequalities with Variables on Both Sides Solve the inequality and graph the solutions. 0.5x – x < 0.3x + 6 –5 –4 –3–2 –

Holt Algebra Solving Inequalities with Variables on Both Sides There are special cases of inequalities called identities and contradictions.

Holt Algebra Solving Inequalities with Variables on Both Sides Solve the inequality. 2x – 7 ≤ 5 + 2x The inequality 2x − 7 ≤ 5 + 2x is an identity. All values of x make the inequality true. Therefore, all real numbers are solutions.

Holt Algebra Solving Inequalities with Variables on Both Sides 2(3y – 2) – 4 ≥ 3(2y + 7) Solve the inequality. No values of y make the inequality true. There are no solutions. HW pp /20-48even,49-51,56-66 even,73-76