* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Application Lesson Opener - bvogtstechniquesforsuccess
Survey
Document related concepts
Two-body Dirac equations wikipedia , lookup
General circulation model wikipedia , lookup
Thermoregulation wikipedia , lookup
Perturbation theory wikipedia , lookup
Plateau principle wikipedia , lookup
History of numerical weather prediction wikipedia , lookup
Inverse problem wikipedia , lookup
Relativistic quantum mechanics wikipedia , lookup
Mathematical descriptions of the electromagnetic field wikipedia , lookup
Navier–Stokes equations wikipedia , lookup
Routhian mechanics wikipedia , lookup
Transcript
Algebra 1 – 3.3 – Solving Multi-Step Equations Application Lesson Opener 1) 2) 3) An electrician charges $15 per service call plus $25 an hour plus the cost of the parts used. The total bill for a recent job was $155. If the parts for this job cost $65 and x represents the number of hours worked, which equation can be used to model this problem? a) 15 + 25 + x + 65 = 155 b) 15x + 25 + 65 = 155 c) 15 + 25x + 65 = 155 d) 15 + 25 + 65x = 155 On a recent trip to a computer store, you purchased one software package for $24.99 and three printer cartridges. The total bill with tax was $90.91. If the tax was $5.95 and x represents the cost of each printer cartridge, which equation can be used to model this problem? a) 24.99 + 3x + 5.95 = 90.91 b) 24.99 + 3 + x + 5.95 = 90.91 c) 24.99 + 3x(5.95) = 90.91 d) 5.95(24.99 + 3x) = 90.91 You subscribed to a long-distance calling plan that costs $12.99 a month plus $0.09 per minute for all long-distance calls. Your total long-distance bill last month was $21.54. If x represents the number of long-distance minutes you used last month, which equation can be used to model this problem? a) 12.99 + 0.09 + x = 21.54 b) 21.54 – 0.09 – x = 12.99 c) 12.99x + 0.09 = 21.54 d) 0.09x + 12.99 = 21.54 Steps for Solving Multi-Step Equations 1) 2) 3) 4) 5) 6) 1 Algebra 1 – 3.3 – Solving Multi-Step Equations Examples: Solve the following equations. a) 1 x + 6 = -8 3 b) c) 7x – 3x – 8 = 24 d) 5 = 3x – 7 + x e) 5x + 3(x + 4) = 28 f) 17 = 2(3x +1) – x g) 4x – 3(x – 2) = 21 h) 106 = 6x – 4(9 – x) i) 4 - (2x – 4) = 48 9 j) 6 66 = - (x + 3) 5 30 = 16 + 1 x 5 2 Algebra 1 – 3.3 – Solving Multi-Step Equations Examples: Solve the following real-life problems a) Checking Vital Signs: A body temperature of 95F or lower may indicate the medical condition called hypothermia. What temperature in the Celsius scale may indicate hypothermia? The Fahrenheit and Celsius scales are related by the 9 equation: F = C + 32. 5 b) Science Connection: The temperature within the Earth’s crust increases about 30 Celsius for each kilometer of depth beneath the surface. If the temperature at Earth’s surface is 24C, at what depth would you expect the temperature to be 114C? c) Consecutive Integers: Find three consecutive integers who sum is 84. d) Find the numbers: The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is 6 more than three times the first number. Find the three numbers. 3 Algebra 1 – 3.3 – Solving Multi-Step Equations Graphing Calculator Activity: Use can use the “solve” feature of a graphing calculator to solve equations. Kayla was here!!! a) 3 x–6=9 4 b) 6x – 3x – 10 = 11 Set the equation = 0 (subtract 9 from both sides) Set the equation = 0 (subtract 11 from both sides) MATH, 0 (may then need to , CLEAR) Type equation (3/4)x69 ENTER ALPHA ENTER X = _____ MATH, 0 (may then need to , CLEAR) Type equation 6x3x1011 ENTER ALPHA ENTER X = _____ c) 8x – 2(x + 3) = 12 d) 3x – 5 = 13 e) 5 x + 7 = -8 4 f) 2x + 7 + 8 = 35 g) 11x + 3(x – 2) = -34 h) 27 = 9(3 – 2x) i) 2 (x + 6) = -12 3 j) k) 5x + 4 – 8x = 13 l) x – (3x – 9) = -5 m) 13x – 4(2x – 5) = 15 n) 4x – (2x + 3) = 7 -8 = 1 x+x 3 4