1. 11-1 Solving Two-Step Equations 11-2 Simplifying Algebraic Expressions 11-3 Solving Multi-Step Equations 11-4 Solving Equations with Variables on Both Sides 11-5 Introduction to Inequalities 11-6 Solving Inequalities by Adding or Subtracting 11-7 Solving Inequalities by Multiplying or Dividing 11-8 Solving Two-Step InequalitiesPreview Lesson Quizzes

2. Lesson Quiz Solve. Check your answers. 1. 6x + 8 = 44 2. 14y – 14 = 28 3. 4. y = 3 x = 6 63 = m v = –112 m7m7 12 = + 3 – 6 = 8 5. Last Sunday, the Humane Society had a 3-hour adoption clinic. During the week the clinic is open for 2 hours on days when volunteers are available. If the Humane Society was open for a total of 9 hours last week, how many weekdays was the clinic open? 3 days v –8 11-1 Solving Two-Step Equations

3. Lesson Quiz: Part I Identify like terms in the list. 1. 3n 2 5n 2n 3 8n 2. a 5 2a 2 a 3 3a 4a 2 Simplify. Justify your steps using the Commutative, Associative, and Distributive Properties when necessary. 3. 4a + 3b + 2a 4. x 2 + 2y + 8x 2 2a 2, 4a 2 5n, 8n 6a + 3b 9x 2 + 2y 11-2 Simplifying Algebraic Expressions

4. Lesson Quiz: Part II 5. Write an expression for the perimeter of the given figure. 6x + 8y 2x + 3y x + y 11-2 Simplifying Algebraic Expressions

5. Lesson Quiz Solve. 1. c + 21 + 5c = 63 2. –x – 11 + 17x = 53 3. 59 = w – 16 + 4w 4. 4(k – 3) + 1 = 33 x = 4 c = 7 15 = w k = 11 5. Kelly swam 4 times as many laps as Kathy. Adding 5 to the number of laps Kelly swam gives you the number of laps Julie swam. If Julie swam 9 laps, how many laps did Kathy swim? 1 lap 11-3 Solving Multi-Step Equations

6. Lesson Quiz: Part I Group the terms with variables on one side of the equal sign, and simplify. 1. 14n = 11n + 81 2. –14k + 12 = –18k Solve. 3. 58 + 3y = –4y – 19 4. –6x = x – 112 4k = –12 3n = 81 y = –11 x = 16 11-4 Solving Equations with Variables on Both Sides

7. Lesson Quiz Part II 5. Mary can purchase ice skates for $57 and then pay a $6 entry fee at the ice skating rink. She can also rent skates there for $3 and pay the entry fee. How many times must Mary skate to pay the same amount whether she purchases or rents the skates? 19 times 11-4 Solving Equations with Variables on Both Sides

8. Lesson Quiz: Part I Write an inequality for each situation. 1. No more than 220 people are in the theater. 2. There are at least a dozen eggs left. 3. Fewer than 14 people attended the meeting. number of eggs ≥ 12 people in the theater ≤ 220 people attending the meeting < 14 11-5 Introduction to Inequalities

9. Lesson Quiz: Part II Graph the inequalities. 4. x > –1 0 º 135 123 – – – 5. x ≥ 4 or x < –1 0 º 135 135 – – – Graph the compound inequality. 11-5 Introduction to Inequalities

10. Lesson Quiz: Part I Solve. Then graph each solution set on a number line. 1. x – 4 > 17 2. z – 27 ≤ 19 Solve. Check each answer 3. p + 18 ≥ –6 p ≥ –24 k > 184. k + 47 > 65 13 15 17 19 21 23 25 x > 21 40 42 44 46 48 50 52 z ≤ 46 11-6 Solving Inequalities by Adding or Subtracting

11. Lesson Quiz: Part II Solve. Check each answer. 5. There are at least 17 more bus riders than walkers in a class. If there are 7 walkers, how many bus riders are there? bus riders ≥ 24 11-6 Solving Inequalities by Adding or Subtracting

12. Lesson Quiz Solve. 1. 2. Solve. Check each answer. 3. 18w < 4 4. –4f > 36 5. It costs a candle company $51 to make a dozen candles. How many candles must it sell at $7 apiece to make a profit? b < –84 s > 108 w < f < –9 s9s9 > 12 b –14 > 6 2929 more than 7 candles, or at least 8 candles 11-7 Solving Inequalities by Multiplying or Dividing

13. Solve. Then graph each solution set on a number line. Lesson Quiz: Part I 1. 7s + 14 > –35 3. 18n – 22 ≤ 32 2. + 12 > 20 y –8 –4–2 0 2–6 –8 –10 s > –7 –62–60 –58 –56–64 –66 –68 y < –64 2 3 4 5 1 0 –1 n ≤ 3 11-8 Solving Two-Step Inequalities

14. Lesson Quiz: Part II 4. A cyclist has $7.00. At the first stop on the tour, energy bars are $1.15 each, and a sports drink is $1.75. What is the greatest number of energy bars the cyclist can buy if he buys one sports drink? 4 11-8 Solving Two-Step Inequalities