EXAMPLE 3 Writing and Solving an Inequality Owning a Business You use the Internet to sell mouse pads. You pay a wholesaler $6 for each mouse pad. You.

Slides:

Advertisements

Similar presentations

Do Now: Pass out calculators.

Advertisements

Page 510 #10-20 ANSWERS.

EXAMPLE 4 Solve proportions SOLUTION a x 16 = Multiply. Divide each side by 10. a x 16 = = 10 x5 16 = 10 x80 = x8 Write original proportion.

Solve an equation with variables on both sides

Solve an absolute value inequality

Solve an absolute value equation EXAMPLE 2 SOLUTION Rewrite the absolute value equation as two equations. Then solve each equation separately. x – 3 =

EXAMPLE 2 Write and graph a real-world compound inequality CAMERA CARS

EXAMPLE 3 Solve a multi-step problem Many businesses pay website hosting companies to store and maintain the computer files that make up their websites.

Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.

EXAMPLE 1 Solve an equation with a variable on one side Solve 4 5 x + 8 = x + 8 = x = 12 x = (12) 5 4 x = 15 Write original equation. Subtract.

EXAMPLE 3 Solve an equation by factoring Solve 2x 2 + 8x = 0. 2x 2 + 8x = 0 2x(x + 4) = 0 2x = 0 x = 0 or x + 4 = 0 or x = – 4 ANSWER The solutions of.

Standardized Test Practice

EXAMPLE 2 Finding a Base Marc received 273, or 35%, of the votes in the student council election. How many students voted in the election? Student Council.

Objective The student will be able to: solve two-step inequalities.

EXAMPLE 1 Evaluate powers a. (–5) 4 b. –5 4 = (–5) (–5) (–5) (–5)= 625 = –( )= –625.

Solve a radical equation

EXAMPLE 3 Solve a multi-step problem Many businesses pay website hosting companies to store and maintain the computer files that make up their websites.

5.6 Solve Absolute Value Inequalities

1.What is the equation of a line passing through the point (8, -3) and having no slope? 2.If the slope of a line is -5 and the line contains the points.

Use the sign shown. A gas station charges $.10 less per gallon of gasoline if a customer also gets a car wash. What are the possible amounts (in gallons)

EXAMPLE 5 Solve a multi-step problem Write an equation that represents the store’s monthly revenue. Solve the revenue equation for the variable representing.

Algebra 6-5 Solving Open Sentences Involving Absolute Value

EXAMPLE 4 Solve a multi-step problem Computers You are buying a new computer and find 10 models in a store advertisement. The prices are $890, $750, $650,

EXAMPLE 3 Find possible side lengths ALGEBRA

EXAMPLE 3 Find possible side lengths ALGEBRA A triangle has one side of length 12 and another of length 8. Describe the possible lengths of the third side.

Learning Target: The student will be able to

SOLVE ABSOLUTE VALUE INEQUALITIES January 21, 2014 Pages

Solve an absolute value equation EXAMPLE 2 SOLUTION Rewrite the absolute value equation as two equations. Then solve each equation separately. x – 3 =

1 Income Statement. 1.Buying a horse (for me!) 2.How much did I pay? 3.What do I have invested in it? 4.What to sell it for? Simple Transaction.

Solve a two-step inequality EXAMPLE 1 3x – 7 < 8 Write original inequality. 3x < 15 Add 7 to each side. x < 5 Divide each side by 3. ANSWER The solutions.

EXAMPLE 4 Standardized Test Practice

EXAMPLE 3 Solve an inequality with a variable on one side Fair You have $50 to spend at a county fair. You spend $20 for admission. You want to play a.

Standardized Test Practice EXAMPLE 1. SOLUTION Standardized Test Practice Write and solve a two-step equation to find the number of flamingos. Write a.

Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x– 12 = 3 Write original equation. x – 12 = 3 Add 12 to.

Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.

Solve an inequality using multiplication EXAMPLE 2 < 7< 7 x –6 Write original inequality. Multiply each side by –6. Reverse inequality symbol. x > –42.

Section 3-4 Solve Multistep Inequalities Objectives: Solve multi-step inequalities with variables on one or both sides.

Use the substitution method

EXAMPLE 1 Solving and Graphing a Two-Step Inequality y < 18 Original inequality y – 10 < 18 – 10 Subtract 10 from each side. 4y < 8 Simplify.

Multiply one equation, then add

Solve an “and” compound inequality

Solve > –2. Graph the solution. Solving Inequalities by Multiplying or Dividing COURSE 3 LESSON 2-7 p3p3 > –2 p3p3 (3) > –2(3)Multiply each side by 3.

EXAMPLE 5 Solve a multi-step problem Write an equation that represents the store’s monthly revenue. Solve the revenue equation for the variable representing.

EXAMPLE 4 Using a Verbal Model You pay $20 for a youth center membership. Drum lessons at the center cost $8 each for members and $12 each for nonmembers.

Solve… ÷ 2 ● 18 – 7. Solve… ÷ 2 ● 18 – 7 ANSWER: 169.

Warm-Up Exercises 1. Solve |x – 6| = Solve |x + 5| – 8 = 2. ANSWER 2, 10 ANSWER –15, 5.

Transparency 5 Click the mouse button or press the Space Bar to display the answers.

Example 2 Write and graph a real-world compound inequality A camera car with a crane is used to film a movie. The crane’s maximum height and minimum height.

LESSON How can you solve an inequality involving multiplication or division with rational numbers? Multiplication and Division Inequalities with Rational.

5.5 Triangle Inequality. Objectives: Use the Triangle Inequality.

Solving Linear Inequalities in One Unknown

Solve a literal equation

Additional Example 1A: Using the Multiplication Property of Inequality

Solve a quadratic equation

Linear Inequalities and Absolute Value Inequalities

Solving Multi-Step Inequalities

Objective The student will be able to:

Objective The student will be able to:

Objective The student will be able to:

Objective The student will be able to:

Solve Absolute Value Inequalities

Notes Over 1.7 Solving Inequalities

Solve an inequality using subtraction

Notes Over 1.7 Solving Inequalities

Objective The student will be able to:

Do Now Solve. 1. –8p – 8 = d – 5 = x + 24 = 60 4.

Objective The student will be able to:

Solvig Inequalities.

EXAMPLE 4 Solve proportions Solve the proportion. ALGEBRA a x 16

Presentation transcript:

EXAMPLE 3 Writing and Solving an Inequality Owning a Business You use the Internet to sell mouse pads. You pay a wholesaler $6 for each mouse pad. You then sell the mouse pads for $10 each. You pay $21 per month for Web page hosting. How many mouse pads should you sell each month to earn a profit? SOLUTION To earn a profit, your revenue must be greater than your expenses

EXAMPLE 3 Writing and Solving an Inequality 10x > 6x + 21 Write an inequality. 4x > 21 Subtract 6x from each side. x > 5.25 Divide each side by 4. ANSWER You cannot sell part of a mouse pad. So, you should sell at least 6 mouse pads per month to earn a profit.

GUIDED PRACTICE for Example 3 Nutrition 4. A membership at a nutrition store costs $20 per year. You can buy vitamins for $18 a bottle without a membership, and $15 a bottle with a membership. How many bottles of vitamins do you need to buy each year to make a membership worthwhile? ANSWER 7 or more bottles.