Solving Linear Equations in One Variable A.5A

​Solving Linear Equations in One Variable

By Carroll Hopkins

​A.5A: Linear functions, equations, and inequalities. Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for

which variables are included on both sides.

Essential Question

By Carroll Hopkins

​How can I solve a linear equation in one variable?

Open Ended

What is the hardest part of solving the following equation?

3(2n - 4) + 2 = 5n - 1

Step 1: Draw a line down the = to split the equation
Step 2: Replace all variables with the variable x
Step 3: Type in each side as a separate line in DESMOS
Step 4: Zoom out to find the point
Step 5: Click on the point where the two lines intersect
Step 6: The x coordinate is the solution

Steps to Solve Linear Equations in One Variable

Example:

3(2n - 4) + 2 = 5n - 1

Example: Step 1

3(2n - 4) + 2 = 5n - 1

Example: Step 2

3(2n - 4) + 2 = 5n - 1

3(2x - 4) + 2 = 5x - 1

Example: Solution

3(2n - 4) + 2 = 5n - 1
Since the x coordinate is 9, the solution for our example is n = 9

We Do: Solve for m.

YOU Do: Solve for m.

Multiple Choice

Solve for w.

7w - 2(w - 9) = 8(w + 2)

• 2/3

• 6

• -1/2

• 21.3333

Multiple Choice

Solve for a.

7a - 3 = 5(a + 6)

• 7

• 112.5

• 5

• 16.5