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Published byShonda Fisher Modified over 7 years ago

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Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate.

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

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

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

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

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

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

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

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

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

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The formula for the volume of a rectangular prism is V = lwh. Formulaic Equations 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

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

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

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

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