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2-1 Introduction to IntegersIntroduction to Integers 2-2 Adding IntegersAdding Integers 2-3 Subtracting IntegersSubtracting Integers 2-4 Multiplying and.

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Presentation on theme: "2-1 Introduction to IntegersIntroduction to Integers 2-2 Adding IntegersAdding Integers 2-3 Subtracting IntegersSubtracting Integers 2-4 Multiplying and."— Presentation transcript:

1 2-1 Introduction to IntegersIntroduction to Integers 2-2 Adding IntegersAdding Integers 2-3 Subtracting IntegersSubtracting Integers 2-4 Multiplying and Dividing IntegersMultiplying and Dividing Integers 2-5 Solving Equations Containing IntegersSolving Equations Containing Integers 2-6 The Coordinate PlaneThe Coordinate Plane 2-7 Equations in Two VariablesEquations in Two Variables 2-8 Graphing EquationsGraphing EquationsPreview Lesson Quizzes

2 Lesson Quiz: Part I Compare. Use, or =. 1. –32 32 2. 26 |–26| 3. –8 –12 4. Use a number line to order the integers –2, 3, –4, 5, and –1 from least to greatest. –4, –2, –1, 3, 5 1 2 3 4 5 –5–4 –3 –2–1 0 = < > 2-1 Introduction to Integers

3 Lesson Quiz: Part II Use a number line to find the absolute value. 5. |–3| 3 1 2 3 4 5 –5 –4 –3 –2 –1 0 3 units 2-1 Introduction to Integers

4 Lesson Quiz: Part I Use a number line to find the sum. 1. –7 + (–6) Find each sum. 2. –15 + 24 + (–9) 3. –24 + 7 + (–3) 4. Evaluate x + y for x = –2 and y = –15. 0 –13 –20 –17 2 –14 –12 –10 –8 –6 –4 –2 0 2-2 Adding Integers

5 Lesson Quiz: Part II 5. The math club’s income from a bake sale was $217. Advertising expenses were $32. Use integer addition to find the club’s total profit or loss? $185 profit 2-2 Adding Integers

6 Lesson Quiz Use a number line to find the difference. 1. 3 – 9 Find each difference. 2. –7 – 43. –3 – (–5) 4. Evaluate x – y + z for x = –4, y = 5, and z = –10. –11 –6 2 –19 5. On January 1, 2002, the high temperature was 81F in Kona, Hawaii. The low temperature was –29F in Barrow, Alaska. What was the difference between the two temperatures? 110F 2-3 Subtracting Integers

7 Lesson Quiz Use a number line to find the product. 1. –8  2 Find each product or quotient. 2. –3  5  (–2)3. –75 ÷ 54. –110 ÷ (–2) –16 –155530 5. The temperature in Bar Harbor, Maine, was –3°F. It then dropped 3 degrees per hour over the next 3 hours. What was the temperature then? –12°F 2-4 Multiplying and Dividing Integers

8 Lesson Quiz Solve each equation. Check your answer. 1. –8y = –800 2. x – 22 = –18 3. – = 7 4. w + 72 = –21 5. Last year a phone company had a loss of $25 million. This year the loss is $14 million more last year. What is this year’s loss? 4 100 –49 –93 y7y7 $39 million 2-5 Solving Equations Containing Integers

9 Lesson Quiz Name the quadrant where each ordered pair is located. 1. (3, –5)2. (–4, –2) 3. (6, 2)4. (–7, 9) Give the coordinates of each point. 5. A6. B 7. C8. D III IV I II (–2, 3) (1, 2) (0, –2) (–2, –3) 2-6 The Coordinate Plane

10 Lesson Quiz 1. Write an equation in two variables that gives the values in the table below. Use your equation to find the value for y for the indicated value of x. 2. Write an equation for the relationship. Tell what each variable you use represents. The height of a round can is 2 times its radius. h = 2r, where h is the height and r is the radius y = 3x; 21 x01357 y03915 2-7 Equations in Two Variables

11 Lesson Quiz 1. Use the given x-values to write solutions as ordered pairs to the equation y = –3x + 1 for x = 0, 1, 2, and 3. 2. Determine whether (4, –2) is a solution to the equation y = –5x + 3. 3. Graph the function described by the equation y = –x + 3. No, –2 ≠ –5(4) + 3 (0, 1), (1, –2), (2, –5), (3, –8) 2-8 Graphing Equations


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