11-1 Solving Two-Step Equations11-2 Simplifying Algebraic Expressions11-3 Solving Multi-Step Equations11-4 Solving Equations with Variables on Both Sides11-5 Introduction to Inequalities11-6 Solving Inequalities by Adding or Subtracting11-7 Solving Inequalities by Multiplying or Dividing11-8 Solving Two-Step Inequalities

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Lesson QuizzesLesson Quizzes

Lesson QuizSolve. Check your answers.

1. 6x + 8 = 44 2. 14y – 14 = 283. 4.

y = 3x = 6

63 = mv = –112

m712 = + 3

– 6 = 85. 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

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11-1 Solving Two-Step Equations

Lesson Quiz: Part IIdentify like terms in the list.

1. 3n2 5n 2n3 8n

2. a5 2a2 a3 3a 4a2

Simplify. Justify your steps using the Commutative, Associative, and Distributive Properties when necessary.

3. 4a + 3b + 2a

4. x2 + 2y + 8x2

2a2, 4a2

5n, 8n

6a + 3b

9x2 + 2y

11-2 Simplifying Algebraic Expressions

Lesson Quiz: Part II

5. Write an expression for the perimeter of the given figure.

6x + 8y

2x + 3y

2x + 3y

x + yx + y

11-2 Simplifying Algebraic Expressions

Lesson QuizSolve.

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 = wk = 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

Lesson Quiz: Part IGroup 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 = –123n = 81

y = –11

x = 16

11-4 Solving Equations with Variables on Both Sides

Lesson Quiz Part II5. 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

Lesson Quiz: Part IWrite 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

Lesson Quiz: Part IIGraph the inequalities.

4. x > –1

0º

1 3 5123 – – –

5. x ≥ 4 or x < –1

0º

1 3 5135 – – –•

Graph the compound inequality.

11-5 Introduction to Inequalities

Lesson Quiz: Part ISolve. 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 ≥ –24k > 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

Lesson Quiz: Part IISolve. 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

Lesson QuizSolve.

1.

2. Solve. Check each answer.

3. 18w < 44. –4f > 365. 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 < –84s > 108

w <

f < –9

s9> 12b

–14 > 6

29

more than 7 candles, or at least 8 candles

11-7 Solving Inequalities by Multiplying or Dividing

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

Lesson Quiz: Part II4. 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