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5 Minute Check Write an inequality for each sentence. Complete on the back of your homework or in your notes. 1. You cannot spend more than $50. 2. More than 800 fans attended the dance. 3. The heavyweight division is 200 pounds or greater. 4. Kevin ran less than 5 miles. 5 Minute Check Write an inequality for each sentence. Complete on the back of your homework. 1. You cannot spend more than $50. 5 Minute Check Write an inequality for each sentence. Complete on the back of your homework. 1. You cannot spend more than $50. t < 50 5 Minute Check Write an inequality for each sentence. Complete on the back of your homework. 2. More than 800 fans attended the dance. 5 Minute Check Write an inequality for each sentence. Complete on the back of your homework. 2. More than 800 fans attended the dance. f > 800 5 Minute Check Write an inequality for each sentence. Complete on the back of your homework. 3. The heavyweight division is 200 pounds or greater. 5 Minute Check Write an inequality for each sentence. Complete on the back of your homework. 3. The heavyweight division is 200 pounds or greater. h > 200 5 Minute Check Write an inequality for each sentence. Complete on the back of your homework. 4. Kevin ran less than 5 miles. 5 Minute Check Write an inequality for each sentence. Complete on the back of your homework. 4. Kevin ran less than 5 miles. K<5 Tuesday, Dec 2 Lesson 6.8.7 Solve One-Step Inequalities Solve One-Step Inequalities Solve One-Step Inequalities Solve One-Step Inequalities Solve One-Step Inequalities Solve One-Step Inequalities Solve One-Step Inequalities Solve One-Step Inequalities Objective: To solve one-step linear inequalities. Solve One-Step Inequalities If you add or subtract the same number from each side of an inequality, the inequality remains true. This is the same as an equation. Solve One-Step Inequalities Remember when graphing: < or > use an open dot < or > use a closed dot Solve One-Step Inequalities Solve and graph the solution. x + 7 > 10 To Solve an Addition or Subtraction Inequality. Step 1- Determine which side of the inequality has a variable and constant. Solve One-Step Inequalities Solve and graph the solution. x + 7 > 10 To Solve an Addition or Subtraction Inequality. Step 1- Determine which side of the inequality has a variable and constant. Solve One-Step Inequalities Solve and graph the solution. x + 7 > 10 To Solve an Addition or Subtraction Inequality. Step 2 - Add the opposite of the variable side constant to both sides, making sure to line up the constants. Solve One-Step Inequalities Solve and graph the solution. x + 7 > 10 -7 -7 x > 3 To Solve an Addition or Subtraction Inequality. Step 2 - Add the opposite of the variable side constant to both sides, making sure to line up the constants. Solve One-Step Inequalities Solve and graph the solution. x + 7 > 10. -7 -7 x > 3 Where does the dot go? Solve One-Step Inequalities Solve and graph the solution. x + 7 > 10. -7 -7 x > 3 Is it open or closed? Solve One-Step Inequalities Solve and graph the solution. x + 7 > 10. -7 -7 x > 3 Which direction does the line go? Solve One-Step Inequalities Solve and graph the solution. x + 7 > 10. -7 -7 x > 3 Solve One-Step Inequalities Solve and graph the solution. x-3< 9 Do this on your own. Solve One-Step Inequalities Solve and graph the solution. x-3< 9 +3 +3 x < 12 Solve One-Step Inequalities Solve and graph the solution. n+2> 2 Do this on your own. Solve One-Step Inequalities Solve and graph the solution. n+2> 2 -2 -2 n > 0 Solve One-Step Inequalities Solve and graph the solution. 2+y< 3 Do this on your own. Solve One-Step Inequalities Solve and graph the solution. 2+y< 3 -2 -2 y < 1 Solve One-Step Inequalities Solve and graph the solution. t+6> 2 Do this on your own. Solve One-Step Inequalities Solve and graph the solution. t+6> 2 -6 -6 t > -4 Solve One-Step Inequalities Solve and graph the solution. 2 1 y+7> 2 Do this on your own. Solve One-Step Inequalities Solve and graph the solution. 2 1 y+7> 2 -2 -2 7 7 1 2 7 4 3 y > 2 - 7 = 14 – 14 = 14 Solve One-Step Inequalities If you multiply or divide the same number from each side of an inequality, the inequality remains true. This is the same as an equation. Solve One-Step Inequalities Solve and graph the solution. 5x < 45 To Solve a Multiplication or Division Inequality Step 1 – Determine the coefficient. Solve One-Step Inequalities Solve and graph the solution. 5x < 45 To Solve a Multiplication or Division Inequality Step 1 – Determine the coefficient. Solve One-Step Inequalities Solve and graph the solution. 5x < 45 To Solve a Multiplication or Division Inequality Step 2 – Multiply both sides by the reciprocal of the coefficient. Solve One-Step Inequalities Solve 5x < 5 x < and graph the solution. 45 5 9 To Solve a Multiplication or Division Inequality Step 2 – Multiply both sides by the reciprocal of the coefficient. Solve One-Step Inequalities Solve and graph the solution. 5x < 45 5 5 x < 9 Where does the dot go? Solve One-Step Inequalities Solve and graph the solution. 5x < 45 5 5 x < 9 Is it open or closed? Solve One-Step Inequalities Solve and graph the solution. 5x < 45 5 5 x < 9 Which direction does the line go? Solve One-Step Inequalities Solve 5x < 5 x < and graph the solution. 45 5 9 Solve One-Step Inequalities Solve and graph the solution 10x < 80. Do this on your own. Solve One-Step Inequalities Solve and graph the solution. 1 10 ·10x < 80 · x < 8 1 10 Solve One-Step Inequalities Solve and graph the solution. x > 2 6 Do this on your own. Solve One-Step Inequalities Solve and graph the solution. x > 2 6 6· x 1· 6 > 2· 6 1· 1 Solve One-Step Inequalities Solve and graph the solution. d < 2 3 Do this on your own. Solve One-Step Inequalities Solve and graph the solution. d < 2 3 3· d 1· 3 < 2· 3 1· 1 Solve One-Step Inequalities Solve and graph the solution. 2k > 4 5 Do this on your own. Solve One-Step Inequalities Solve and graph the solution. 2k > 4 5 5 · 2k 2· 5 > 4· 5 1· 2 Solve One-Step Inequalities Laverne is making bags of party favors for each of the 7 friends attending her birthday party. She does not want to spend more than $42 on party favors. Write and solve an inequality to find the maximum cost of each party bag. Do this on your own. Solve One-Step Inequalities Laverne is making bags of party favors for each of the 7 friends attending her birthday party. She does not want to spend more than $42 on party favors. Write and solve an inequality to find the maximum cost of each party bag. 7p < 42 1 ·7p < 42 · 1 7 7 p<6 Solve One-Step Inequalities Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to buy or pack her lunch. If a hot lunch at school costs $2 write and solve an inequality to find the number of times per week she can buy her lunch. Do this on your own. Solve One-Step Inequalities Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to buy or pack her lunch. If a hot lunch at school costs $2 write and solve an inequality to find the number of times per week she can buy her lunch. 2x < 10 1 ·2x < 10 · 1 2 2 x<5 Solve One-Step Inequalities Suppose David has $65 to spend on his concert ticket and some shirts. He already spent $32 on his ticket. Write an equality that can be used to find how much he can spend on shirts. Do this on your own. Solve One-Step Inequalities Suppose David has $65 to spend on his concert ticket and some shirts. He already spent $32 on his ticket. Write an equality that can be used to find how much he can spend on shirts. 32 + S < 65 -32 -32 S < 33 Solve One-Step Inequalities Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to bu her In three math tests, you score 91, 95 and 88 points. How many points must you score on the forth test to have an A average (at least 90 points)? Solve One-Step Inequalities Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to bck her In three math tests, you score 91, 95 and 88 points. How many points must you score on the forth test to have an A average (at least 90 points)? 91 + 95 +88 + x > 90 · 4 4 274 + x > 360 – 274 -274 x > 86 4· Solve One-Step Inequalities Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to buck her Does the order of operations in an inequality matter? Explain. Solve One-Step Inequalities Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to back her Does the order of operations in an inequality matter? Explain. Yes, x > 5 is not the same as 5 > x However, x > 5 is the same as 5 < x Write and Graph Inequalities Agenda Notes Homework – Homework Practice 6.8.7 Due Wednesday, Dec 3 Chapter 6.8 Test - Thursday, Dec 4 Accum Rev 8 – Due Thursday, Dec 4