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Do Now

Do Now. Solve. Evaluate. 1. - 3x + 5 = 20. V = lwh if l = 4, w = 2, and h = 6. Solving Equations for a Given Term. What if we were asked to solve the following equation for x? 4x + 9y = 11. What is the first step to get x all by itself?. a. divide by 4. b. subtract 4x.

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Do Now

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  1. Do Now Solve. Evaluate. 1. - 3x + 5 = 20 • V = lwh • if l = 4, w = 2, and h = 6

  2. Solving Equations for a Given Term What if we were asked to solve the following equation for x? 4x + 9y = 11 What is the first step to get x all by itself? a. divide by 4 b. subtract 4x c. divide by 9 d. subtract 9y Submit Answer

  3. Inquiry 4x + 9y = 11 • Remember to self-question. • Develop a plan. • Will the mapping strategy work on this equation?

  4. For the equation to remain balanced, remember the golden rule: What we do to one side, we must do to the other. Let’s solve together: 4x + 9y = 11 Assess the situation. Remember to self-question. • Where are the variables? • What variable do we want to isolate? • What do we have to move?

  5. Let’s solve together. 4x + 9y = 11 - 9y = - 9y 1. Draw a line through the equal sign. 4x = 11 – 9y 2. Subtract 9y from both sides. 4 4 3. Simplify vertically. x = 11 – 9y 4. Divide both sides by 4. 5. Simplify vertically. 4 6. Can we simplify? This fraction cannot be simplified. Both terms in the numerator are not divisible by the denominator.

  6. Checkpoint!! What if we were asked to solve the following equation for y? 4x + 9y = 11 What is the first step to get y all by itself? a. divide by 4 b. subtract 4x c. divide by 9 d. subtract 9y Submit Answer

  7. Let’s solve together. 4x + 9y = 11 - 4x = - 4x 1. Draw a line through the equal sign. 9y = 11 – 4x 2. Subtract 4x from both sides. 9 9 3. Simplify vertically. y = 11 – 4x 4. Divide both sides by 9. 5. Simplify vertically. 9 6. Can we simplify? This fraction cannot be simplified. Both terms in the numerator are not divisible by the denominator.

  8. 6x + 2y = - 36 Let’s try another. Solve for y. - 6x = - 6x 1. Draw a line through the equal sign. 2y = - 36 – 6x 2. Subtract 6x from both sides. 2 2 y = - 36 – 6x 3. Simplify vertically. 2 4. Divide both sides by 2. 5. Simplify vertically. y = - 18 – 3x 6. Can we simplify? y = - 3x – 18 Can be rewritten as: This fraction can be simplified. Both terms in the numerator are divisible by the denominator.

  9. Checkpoint!! Can the following equation be simplified? If so, provide the simplified form. y = - 24x – 48 - 3

  10. Now you try!! Don’t forget to simplify if possible. Solve. - 21x – 3y = - 63

  11. Formulaic Equations The formula for the volume of a rectangular prism is V = lwh. Which equation solves the formula for l? a. l = wh V b. l = w - h V c. l = w + h d. l = V hw Submit Answer

  12. Formulaic Equations Now, you try. Using the same formula for the volume of a rectangular prism V = lwh. Solve for h.

  13. Now you try!! Solve the following equation for y. y + 2x = 12 4

  14. Now you try!! The formula for the area of a triangle is A = 1 bh 2 Solve for h.

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