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Warm-up

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

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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 Algebra 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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