do now solve. 1. - 3x + 5 = 202.v = lwh if l = 4, w = 2, and h = 6 evaluate
DESCRIPTION
4x + 9y = 11 Inquiry Remember to self-question. Develop a plan. Will the mapping strategy work on this equation?TRANSCRIPT
![Page 1: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/1.jpg)
Do Now
Solve.1. - 3x + 5 = 20 2. V = lwh
if l = 4, w = 2, and h = 6
Evaluate.
![Page 2: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/2.jpg)
Solving Equations for a Given Term
What if we were asked to solve the following equation for x? 4x + 9y = 11
a. divide by 4b. subtract 4xc. divide by 9d. subtract 9y
What is the first step to get x all by itself?
Submit Answer
![Page 3: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/3.jpg)
4x + 9y = 11
Inquiry
Remember to self-question.
Develop a plan.
Will the mapping strategy work on this equation?
![Page 4: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/4.jpg)
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
![Page 5: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/5.jpg)
Let’s solve together. 4x + 9y = 111. 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 4 x = 11 – 9y
46. Can we simplify?
This fraction cannot be simplified. Both terms in the numerator are not divisible by the denominator.
![Page 6: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/6.jpg)
Checkpoint!!What if we were asked to solve the following equation for y? 4x + 9y = 11
a. divide by 4b. subtract 4xc. divide by 9d. subtract 9y
What is the first step to get y all by itself?
Submit Answer
![Page 7: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/7.jpg)
Let’s solve together. 4x + 9y = 111. 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 9 y = 11 – 4x
96. Can we simplify?
This fraction cannot be simplified. Both terms in the numerator are not divisible by the denominator.
![Page 8: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/8.jpg)
6x + 2y = - 361. 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 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 – 3xy = - 3x – 18Can be rewritten as:
![Page 9: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/9.jpg)
y = - 24x – 48 - 3
Checkpoint!!
Can the following equation be simplified? If so, provide the simplifiedform.
![Page 10: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/10.jpg)
Now you try!!
Solve. - 21x – 3y = - 63Don’t forget to simplify if possible.
![Page 11: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/11.jpg)
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 EquationsNow, you try.
Using the same formula for the volume of a rectangular prism V = lwh.
Solve for h.
![Page 13: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/13.jpg)
Now you try!!
y + 2x = 12 4
Solve the following equation for y.
![Page 14: Do Now Solve. 1. - 3x + 5 = 202.V = lwh if l = 4, w = 2, and h = 6 Evaluate](https://reader036.vdocuments.us/reader036/viewer/2022062504/5a4d1b7f7f8b9ab0599ba5a5/html5/thumbnails/14.jpg)
The formula for the area of a triangle is
A = 1 bh 2
Now you try!!
Solve for h.