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Warm-up

Learn about the importance of understanding relationships between quantities and how to use order of operations to solve for specified values in algebraic equations. Practice solving literal equations and applying the skills to real-world problems.

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Warm-up

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  1. 3 1 23 1 4 2 4 8 x = – , or –5 Warm-up Solve. 1.8x – 9 = 23 2. 9x + 12 = 4x + 37 3. 6x – 8 = 7x + 3 4.x + 3 = x = 4 x = 5 x = –11

  2. Homework Review

  3. CCGPS Coordinate AlgebraDay 13 (8-29-12) UNIT QUESTION: Why is it important to understand the relationship between quantities? Standard: MCC9-12.N.Q.1-3, MCC9-12.A.SSE.1, MCC9-12.A.CED.1-4 Today’s Question: How do I use order of operations to solve for a specified value? Standard: MCC9-12.A.CED.4

  4. Solving Equations and Formulas Objectives: • Solve literal equations (formulas) for a specified variable • Apply these skills to solve practical problems

  5. Definitions: • An equation is a mathematical sentence that contains an equal sign ( = ). • Ex: y = 3x • A formula is an equation that states a rule for the relationship between certain quantities. • Ex: A = lw What do A, l, and w stand for?

  6. What it means to solve: • To solve for x would mean to get x by itself on one side of the equation, with no x’s on the other side. (x = __ ) • Similarly, to solve for y would mean to get y by itself on one side of the equation, with no y’s on the other side. (y = __ )

  7. The DO-UNDO chart 1) Solve the equation -5x + y = -56 for x. Ask yourself: • What is the first thing being done to x, the variable being solved for? • x is being multiplied by -5. • What is being done next? • y is being added to -5x.

  8. Show all of your work! • First, subtract y from both sides of the equation. • Next, divide by -5. • This process actually requires LESS WORK than solving equations in one variable  Ex: -5x + y = -56 - y -y -5x = -56 - y -5 -5 x = -56 - y = 56 + y -5 5

  9. Let’s try another: Complete the do-undo chart. DO UNDO Ex: Solve 2x - 4y = 7 for x. +4y + 4y 2x = 7 + 4y + 4y ÷ 2 x 2 - 4y 2 2 x = 7 + 4y 2 This fraction cannot be simplified unless both terms in the numerator are divisible by 2.

  10. Another example: • Solve a(y + 1) = b for y. Complete the do-undo chart. DO UNDO a a y + 1 = b a ÷ a - 1 + 1 x a - 1 -1 y = b - 1 a

  11. Try a few on your own. • Solve P = 1.2W for W. H2 • Solve P = 2l + 2w for l. • Solve F = 9C + 32 for C. 5

  12. The answers: DO UNDO · 1.2 · H2 ÷ H2 ÷ 1.2 W = PH2 1.2 DO UNDO • · 2 -2w • +2w ÷ 2 • l = P - 2w 2

  13. The answers: DO UNDO • x 9/5 - 32 • + 32 ÷9/5 or times 5/9 • C = 5 (F – 32) 9

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