Draw a line 2/3 the way across DO THIS TO THE BACK ALSO First & Last Name hour Date Draw a line 2/3 the way across DO THIS TO THE BACK ALSO 1.3 pg23 #1, 7, 8, 17, 18, 19, 20, 24 ,26 Homework questions & work on left side Skip lines between questions. Do NOT Draw Lines Between them! Write each equation 2x’s 4. Box answers 5. Only One Column of Q’s Corrections on right side

How can you recognize what type of solution an equation has? 1.3 No solution, One Solution, Infinite Solution Equations Essential Question: How can you recognize what type of solution an equation has?

Sentence: Important Info: Equation: Jon and Sara are planting tulip bulbs. Jon has planted 60 bulbs and is planting at a rate of 44 bulbs per hour. Sara has planted 96 bulbs and is planting at a rate of 32 bulbs per hour. In how many hours will Jon and Sara have planted the same number of bulbs? How many bulbs will that be? Sentence: Important Info: Equation: Person Bulbs Jon 60 bulbs plus 44 bulbs per hour Sara 96 bulbs plus 32 bulbs per hour

When will Jon = Sara? Continued ? When is + 44b = 96 + 32b Jon = Sara 60 bulbs plus 44 bulbs each hour the same as 96 bulbs 32 bulbs each hour When is ? + 44b = 96 + 32b Jon = Sara 60 + 44b = 96 + 32b – 32b – 32b To collect the variable terms on one side, subtract 32b from both sides. 60 + 12b = 96 –60 – 60 b = 3

Check After 3 hours, Jon and Sara will have planted the same number of bulbs. To find how many bulbs they will have planted in 3 hours, evaluate either expression for b = 3 60 + 44b = 60 + 44(3) = 60 + 132 = 192 96 + 32b = 96 + 32(3) = 96 + 96 = 192 After 3 hours, Jon and Sara will each have planted 192 bulbs.

Whiteboards: Solve & Check

One Solution Equations WORDS 1st: solve for variable Look to see if you can isolate variable The variable has only one solution NUMBERS 3 + 3 = 2(3) 6 = 6  ALGEBRA 3 + x = 2x –x –x 3 = x 

No Solution Equations 1 = 1 + 2 1 = 3  x = x + 3 –x –x 0 = 3  1st : simplify both sides of the equation Look for on Each Side: Same coefficients on variable AND Different Constants WORDS x = x + 3 –x –x 0 = 3  1 = 1 + 2 1 = 3  ALGEBRA NUMBERS No Solution Equations

Infinite Solutions 2 + 1 = 2 + 1 3 = 3  2 + x = 2 + x –x –x 2 = 2  WORDS 1st : simplify EACH side of the equation Look for on Each Side: Same coefficients on variable AND Same Constant NUMBERS 2 + 1 = 2 + 1 3 = 3  ALGEBRA 2 + x = 2 + x –x –x 2 = 2 

-5x + 26 = 26 – 5x

Whiteboards: Solve & Check if Possible A. B. C. -30 - 1.5h = 45 - 1.5h 1.8x + 9 = 9 + 1.8x

Solve 0.5 + 0.3y = 0.7y – 0.3 To collect the variable terms on one side, subtract 0.3y from both sides. 0.5 + 0.3y = 0.7y – 0.3 –0.3y –0.3y 0.5 = 0.4y – 0.3 Since 0.3 is subtracted from 0.4y, add 0.3 to both sides to undo the subtraction. +0.3 + 0.3 0.8 = 0.4y Since y is multiplied by 0.4, divide both sides by 0.4 to undo the multiplication. 2 = y