Solve each inequality. Graph the solution set on a number line.

Slides:

Advertisements

Similar presentations

Solve each equation. Check your solution. 1. = y = −12 3. =

Advertisements

Solving Inequalities Using Multiplication or Division Honors Math – Grade 8.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) CCSS Then/Now New Vocabulary Key Concept: Power Property of Equality Example 1:Real-World.

Splash Screen. Over Lesson 2–4 5-Minute Check 1 A.–4 B.–1 C.4 D.13 Solve 8y + 3 = 5y + 15.

Course 2, Lesson 2-8 Find the sale price to the nearest cent. 1. $120 jacket; 30% discount 2. $10,500 car; 10% discount 3. $35 sweater; 18% discount; 3%

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–3) CCSSS Then/Now New Vocabulary Example 1:Solve an Equation with Variables on Each Side Example.

Course 2, Lesson The amount a cashier earns is shown in the table. Determine whether the amount earned is proportional to the number of hours worked.

Course 2, Lesson 1-1 Find the mean, median, and mode for each data set. Round to the nearest tenth if necessary. 1. number of cars in household: 1, 3,

Course 2, Lesson 1-2 Find each unit rate. Round to the nearest hundredth if necessary. 1. $3.99 for 16 ounces miles in 14 hours 3. $28 for 15 goldfish.

Course 2, Lesson 2-5 Use the determine reasonable answers strategy to solve Exercises 1–4. 1. If the speed limit is 65 miles per hour, what is a reasonable.

Write an integer for each situation. 1. stock market down 56 points

Course 2, Lesson 2-3 Estimate % of % of % of % of Twenty-two percent of the seventh-grade class at Santa Ana Middle.

Course 2, Lesson 2-6 Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or.

3. What is the constant of variation of the linear function. Pay $15

Course 2, Lesson 1-3 Simplify On her last science test, Maria answered of the questions incorrectly. Write as a fraction in simplest form.

Course 2, Lesson 4-6 Use the draw a diagram strategy to solve Exercises The Rockwells have driven 180 miles, which is about of the way to their.

Course 2, Lesson 4-2 Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal Write each decimal.

the right? Round to the nearest tenth.

Course 2, Lesson 1-5 Use the four-step plan to solve each problem. 1. A comic book store took in $2,700 in sales of first editions during November. December.

Find the area of each circle. Round to the nearest tenth. Use 3

Course 2, Lesson 7-6 Draw a top, a side, and a front view of the solid. 1. Draw the solid using the top, side, and front views shown. Use isometric dot.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–4) CCSS Then/Now Example 1:Expressions with Absolute Value Key Concept: Absolute Value Equations.

HOW can bar diagrams or algebra tiles help you solve an equation?

HOW are percent diagrams used to solve real-world problems?

Solve by using a graph. 1. A carpet cleaner charges $25 per room cleaned. Predict the cost of having 5 rooms cleaned. 2. The table shows the number of.

Identify each solid. Name the number and shapes of the faces. Then name the number of edges and vertices Course 2, Lesson 8-1.

Find the radius or diameter of each circle with the given dimensions. 1. d = 6 cm 2. r = 11 ft Find the circumference of each circle. Use 3.14 for π. Round.

Expressions and Equations

Solve Inequalities (pg ) Objective: TBAT solve inequalities by using the Addition and Subtraction Properties of Inequality.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–3) CCSSS Then/Now New Vocabulary Example 1:Solve an Equation with Variables on Each Side Example.

Solve each inequality. Check your solution. 1. –3x ≥ k > 300 Solve each inequality. Graph the solution set on a number line. 4. 4p + 3 ≤ –1 5.

HOW is percent used to solve real-world problems? Ratios and Proportional Relationships Course 2, Inquiry Lab before Lesson 2-3.

Course 2, Lesson 7-4 Use the make a model strategy to solve Exercises 1 and 2. A 15-inch by 20-inch piece of poster board has a 3.5-inch square cut out.

Lessons 6.1 and 6.2 OBJ: To solve inequalities using addition, subtraction, multiplication, and division.

Course 2, Lesson 2-2 Find each number. Round to the nearest tenth if necessary % of % of % of % of $ % of

Solving Inequalities. ● Solving inequalities follows the same procedures as solving equations. ● There are a few special things to consider with inequalities:

10.4 Radical Equations Algebra 1. 5-Minute Check A. B. C. D.

Course 2, Lesson 1-7 Solve each proportion Solve. Assume all situations are proportional. 3. For every 4 students, 3 like peanut butter and jelly.

Solve each inequality. Graph the solution set on a number line. 1. 3a + 3 < y + 2 > –22 3. –5m – 5 ≤ Ann has only $10 to spend on carnival.

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

Use with Lesson X Standard X.XX.X Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of.

Use with Lesson X Standard X.XX.X Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of.

Compare and order integers Find the absolute value of an expression Lesson 2-1 Rational Numbers and Exponents.

HOW can a bar diagram or algebra tiles help you solve a real-world problem? Course 2, Inquiry Lab before Lesson 6-4 Expressions and Equations.

Evaluate each expression if a = 3, b = 7, and c =

How can you use numbers and symbols to represent mathematical ideas?

Lesson 1-4 Solving Inequalities.

Write each decimal as a fraction or mixed number in simplest form.

Find the value of x in each triangle

Lesson 1.3 Variables and Expressions (Glencoe book)

3-3 Solving Inequalities Using Multiplication or Division

6-7 Solving inequalities by Multiplication or division

Test Chapter 1 TENTATIVELY scheduled for Wednesday, 9/21.

EQ: How do I solve an equation in one variable?

Solving Two-Step Equations Lesson 2-2 Learning goal.

Evaluate each expression. Round to the nearest tenth if necessary.

Solving Linear Equations and Inequalities

Solving Inequalities.

Estimate each product. Use a bar diagram if needed

7th grade math Unit 3: Ratios and Proportional Reason

Exercise Solve for x, telling what property was used to solve the equation. x − 3 = 7 x = 10; Addition Property of Equality.

Multiply. Write in simplest form

Solve each inequality. Graph the solution set on a number line.

HOW is an inequality like an equation? How is it different?

Solve each inequality. Check your solution. 1. –3x ≥ 9 2.

Presentation transcript:

Solve each inequality. Graph the solution set on a number line. 1. x – 15 > 3 2. g + 3 ≤ –20 3. 11 ≥ t – 8 Solve each inequality. Graph the solution set on a number line. 4. 34 < 6 + d 5. 5 – f ≥ 10 6. Jonas has $75 to spend on new clothes. The pair of jeans he wants costs $48.50. What is the most Jonas can spend on shirts? Course 2, Lesson 6-7

ANSWERS 1. x > 18 2. g ≤ –23 3. t ≤ 19 4. d > 28; 5. f ≤ –5; 6. $26.50 Course 2, Lesson 6-7

two quantities are equal? Expressions and Equations WHAT does it mean to say two quantities are equal? Course 2, Lesson 6-7

Solve word problems leading to inequalities of the form px + q > r Expressions and Equations 7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7.EE.4b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. Course 2, Lesson 6-7 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Mathematical Practices Expressions and Equations Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. 7 Look for and make use of structure. Course 2, Lesson 6-7 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

To solve inequalities when multiplying Expressions and Equations To solve inequalities when multiplying or dividing by a positive number To solve inequalities when multiplying or dividing by a negative number Course 2, Lesson 6-7

Multiplication Property of Inequality Division Property of Inequality Expressions and Equations Multiplication Property of Inequality Division Property of Inequality Course 2, Lesson 6-7

Multiplication and Division Properties of Inequality, Positive Number Expressions and Equations Multiplication and Division Properties of Inequality, Positive Number Words The and the state that an inequality remains true when you multiply or divide each side of an inequality by a positive number. Symbols For all numbers a, b, and c, where c > 0, 1. if a > b, then ac > bc and 2. if a < b, then ac < bc and These properties are also true for a ≥ b and a ≤ b. Multiplication Property of Inequality Division Property of Inequality Course 2, Lesson 6-7

Multiplication and Division Properties of Inequality, Negative Number Expressions and Equations Multiplication and Division Properties of Inequality, Negative Number Words When you multiply or divide each side of an inequality by a negative number, the inequality symbol must be reversed for the inequality to remain true. Symbols For all numbers a, b, and c, where c < 0, 1. if a > b, then ac < bc and 2. if a < b, then ac > bc and Examples 7 > 1 –4 < 16 –2(7) < –2(1) Reverse the symbols > –14 < –2 1 > –4 These properties are also true for a ≥ b and a ≤ b. Course 2, Lesson 6-7

How did what you learned today help you answer the Expressions and Equations How did what you learned today help you answer the WHAT does it mean to say two quantities are equal? Course 2 Lesson 6-7

How did what you learned today help you answer the Expressions and Equations How did what you learned today help you answer the WHAT does it mean to say two quantities are equal? Sample answers: To keep the same inequality sign when multiplying or dividing each side of an inequality by a positive number To reverse the inequality sign when multiplying or dividing each side of an inequality by a negative number Course 2 Lesson 6-7

Expressions and Equations Ratios and Proportional Relationships How did the previous lesson on solving inequalities by adding or subtracting help you with today’s lesson? Course 2 Lesson 6-7