Do Now

Solve.1. - 3x + 5 = 20 2. V = lwh

if l = 4, w = 2, and h = 6

Evaluate.

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

4x + 9y = 11

Inquiry

Remember to self-question.

Develop a plan.

Will the mapping strategy work on this equation?

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

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.

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

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.

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:

y = - 24x – 48 - 3

Checkpoint!!

Can the following equation be simplified? If so, provide the simplifiedform.

Now you try!!

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

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

Formulaic EquationsNow, you try.

Using the same formula for the volume of a rectangular prism V = lwh.

Solve for h.

Now you try!!

y + 2x = 12 4

Solve the following equation for y.

The formula for the area of a triangle is

A = 1 bh 2

Now you try!!

Solve for h.