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

BINGO ANSWERS -70 -53 -40 -27 -9 -5 -1 -0.04 0.25 1 2.6 12 22 22.8 28 45 67 141 144 152 206 4860 4x2 – 12x 1,180,191.64

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

Ex 2) Evaluate n – t(n2 – t) if n = 2 and t = 3.4. ANSWER: -0.04

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

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

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 m3

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: 4x2 – 12x

Ex 7) The formula for the area of a trapezoid with height h and parallel bases b1 and b2 is: Find the area of a trapezoid with base lengths of 13 meters and 25 meters and a height of 8 meters. ANSWER: 152 m2

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

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

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 ft3

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

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

Ex 13) Evaluate: ANSWER: -5

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

Ex 15) Evaluate: ANSWER: -53

Ex 16) Faith owns an organic apple orchard 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

Ex 17) Evaluate: ANSWER: 1

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

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

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

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

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

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

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

Target Goals Use the order of operations to evaluate expressions Use formulas (ex 4)