Solving Equations

Solving Equations Part1

2-step; variables on both sides; distributive property

Our goal is to isolate the v.

• Combine the like terms -5v+2v.

• What do you get?

• correct! -3v

• -3v -1 = -7 is your new equation.

• Now remove the constant -1 by using the inverse operation +1.

• What do you have left?

• -3v = -6

Multiple Choice

Not finished with it yet!!! Now we need to get rid of the coefficient -3 by using the inverse operation of dividing by -3. -3v = -6

• -2

• 2

• 3

• These are tough.

Now we need to isolate the variable k.

• First we combine like terms  $5k-7k\ =\ ?k$  

• Correct!

   $-2k$  

•  $-2k+4=18\$  is our new equation.

• What do we do next?

Multiple Choice

−2k+4=18

is our new equation. what is our next step?

• Remove the constant +4 by adding 4 to both sides

• Remove the constant +4 by subtracting 4 from both sides.

Multiple Choice

Can you solve this one? Hint: Begin by moving the constant +4x.

• 3

• -3

Multiple Choice

What is the first step to solve this equation:
-11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Multiple Choice

8x - 10 = 6

• 0.5

• 2

• -2

• 128

Multiple Choice

4a - 5 + 2a + 9 = 28

• 30

• 4

• -4

• 2

Multiple Choice

3b + 6b = 63

• -7

• 9

• 7

• 21

Multiple Choice

4x + 7 = 23

• x = 16

• x = 4

• x = 9

• x = 12

Multiple Choice

3c + 5 = 23

• c = 3

• c = 6

• c = 7

• c = 18

Solving equations Part 2

• Study this equation for a moment.

• Now look at this new "revised" equation made from the original one.

•  $8x+15-18x=-4x-27$  

• Where did the  $-18x$  come from in the revised equation?

 $8x+15-18x=-4x-27$  

• What terms can you combine?

• Right! 8x - 18x

•  $8x\ -18x\ =\ -10x$  

•  $-10x+15=-4x-27$  is your new equation.

Multiple Choice

 $-10x+15=-4x-27$  would to x = ?

• 7

• -7