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Algebra 2 Chapter 1.1 Expressions & Formulas Target Goals: 1.Use the order of operations to evaluate expressions 2.Use formulas.

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Presentation on theme: "Algebra 2 Chapter 1.1 Expressions & Formulas Target Goals: 1.Use the order of operations to evaluate expressions 2.Use formulas."— Presentation transcript:

1 Algebra 2 Chapter 1.1 Expressions & Formulas Target Goals: 1.Use the order of operations to evaluate expressions 2.Use formulas

2 BINGO ANSWERS -70-53-40-27 -9-5-1-0.04 0.2512.612 2222.82845 67141144152 20648604x 2 – 12x 1,180,191.64

3 ORDER OF OPERATIONS Ex 1)Evaluate (x – y) 3 if x = 1 and y = 4. ANSWER: -27

4 Ex 2)Evaluate n – t(n 2 – t) if n = 2 and t = 3.4. ANSWER: -0.04

5 Ex 3) Evaluate 5c – 2[(b – a)+ c] if a = -2, b = 3 and c = 4.2. ANSWER: 2.6

6 Ex 4)Evaluate the expression if x = 5, y = -2, and z = -1. ANSWER: -9

7 Ex 5) The formula for the volume of a cone can be used to approximate the volume of a tornado. Find the approximate volume of a tornado with a top radius of 70 meters and a height of 230 meters. ANSWER: 1,180,191.64 m 3

8 Ex 6) The formula for the area of a triangle with height h and base b is: Write an expression to represent the area of a triangle that has a height of 4x and a base of 2x – 6. ANSWER: 4x 2 – 12x

9 Ex 7) The formula for the area of a trapezoid with height h and parallel bases b 1 and b 2 is: Find the area of a trapezoid with base lengths of 13 meters and 25 meters and a height of 8 meters. ANSWER: 152 m 2

10 Ex 8) The formula can be used to convert temperatures in degrees Fahrenheit to degrees Celsius. If the temperature in the room is 73°F, what is the room temperature in Celsius? ANSWER: 22.8 °C

11 Ex 9) Evaluate if a = -4, b = -0.8, c = 5, and d = 1/5. ANSWER: -1

12 Ex 10) The formula for the volume of a rectangular prism is V = lwh, where l represents the length, w represents the width, and h represents the height. Find the volume of a rectangular prism with a length of 4 feet, a width of 2 feet, and a height of 3.5 feet. ANSWER: 28 ft 3

13 Ex 11) Evaluate if a = -4, b = -0.8, c = 5, and d = 1/5. ANSWER: 0.25

14 Ex 12) The formula gives the temperature in degrees Fahrenheit for a given temperature in degrees Celsius. What is the temperature in degrees Fahrenheit when the temperature is -40 degree Celsius? ANSWER: -40 °F

15 Ex 13) Evaluate: ANSWER: -5

16 Ex 14) The formula gives the height h in feet of an object t seconds after it is shot upward from Earth’s surface with an initial velocity of 120 feet per second. What will the height of the object be after 6 seconds? ANSWER: 144 ft

17 Ex 15) Evaluate: ANSWER: -53

18 Ex 16) Faith owns an organic apple orchard. From her experience the last few seasons, she has developed the formula to predict her profit P in dollars this season if her trees produce x bushels of apples. What is Faith’s predicted profit this season if her orchard produces 300 bushels of apples? ANSWER: $4860

19 Ex 17) Evaluate: ANSWER: 1

20 Ex 18) Evaluate if a = ¾, b = -8, c = -2, and d = 3. ANSWER: 67

21 Ex 19) Evaluate if a = ¾, b = -8, c = -2, d = 3, and g = 1/3. ANSWER: 141

22 Ex 20) Evaluate if a = ¾, b = -8, c = -2, d = 3, and g = 1/3. ANSWER: 12

23 Ex 21) Evaluate if a = ¾, b = -8, c = -2, d = 3, and g = 1/3. ANSWER: 22

24 Ex 22) Evaluate if a = ¾, b = -8, c = -2, d = 3, and g = 1/3. ANSWER: 206

25 Ex 23) Evaluate if a = ¾, b = -8, c = -2, d = 3, and g = 1/3. ANSWER: -70

26 Ex 24) Evaluate if a = ¾, b = -8, c = -2, d = 3, and g = 1/3. ANSWER: 45

27 Target Goals 1.Use the order of operations to evaluate expressions – (ex 1, 2, & 3) 2.Use formulas – (ex 4)


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