Do-Now THE FORMULA FOR FINDING FARENHEIT IS F = (C X 9) + 32 5 1). What is F if C = 70? 2). What is C if F = 30? THE FORMULA FOR GAS MILEAGE IS: M = D/G.

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Presentation transcript:

Do-Now THE FORMULA FOR FINDING FARENHEIT IS F = (C X 9) ). What is F if C = 70? 2). What is C if F = 30? THE FORMULA FOR GAS MILEAGE IS: M = D/G 3). What is M if you go 270 miles on 9 gallons? 4). If you travel 600 miles and get 20 mpg, how many gallons do you use? COMPLETE THE DO NOW SILENTLY, INDEPENDENTLY, & IMMEDIATELY

Objective & EU OBJECTIVE: SWBAT simplify solve two-step equations with simplification, distribution, and variables on both sides of the equal sign. Essential Understanding: You know the math. They key to success is to work slowly, carefully, deliberately. Copy all items in red in your notes WHEN FINISHED SIT IN ACADEMIC POSTURE!

Order of Things 1). Distribute 2). Simplify 3). Inverse Operations Work Silently & Independently; silent hands for questions/to volunteer

Distribution When you have a variable or integer next to a parentheses, distribute and multiply the outside term to ALL the inside terms 1). First draw your arrows. Then avoid these three common mistakes: A). Distribute to all terms, not just one!!!! B). Watch the signs!!!!! Same signs positive! C). After you distribute, rewrite the entire equation! Don’t leave anything behind!!!! Work Silently & Independently; silent hands for questions/to volunteer

Simplifying with Variables on Both Sides 2x + 3x + 4x - X + 6 – 3 = 6x + 2x Rules to Remember: 1). FIRST, you combine terms on the same side of the equal sign 2). SECOND, for terms on the opposite sides, you use inverse operations. BIG DIFFERENCE! 3). Be Careful! Work Silently & Independently; silent hands for questions/to volunteer

Whiteboard Problem 1 Solve: X + 4(X - 9) = 2X + 3 Mathematicians are always careful!

Whiteboard Problem 2 Solve: 63 = 2(2X + 5) + 5 Mathematicians are always careful!

Whiteboard Problem 3 Solve: -2(-2X + 4) = – 3 - X Mathematicians are always careful!

Whiteboard Problem 4 Solve: 4(X + 4) - 8 = X + 14 Mathematicians are always careful!

Whiteboard Problem 5 Choose one: 4(A - 2) = -3(A – 9) Or -2(3A – 6) + 4 = A + 7A + 10 Mathematicians are always careful!

Whiteboard Problem 6 Solve: 2(D - 5) + 4 = -2(D + 2) + 2 Mathematicians are always careful!

Whiteboard Problem 7 Solve: 4(-X + 2) = X + 5X Mathematicians are always careful!