Solving Equations

Presentation

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Mathematics

•

8th Grade

•

Practice Problem

•

Medium

•

CCSS

7.EE.B.4A, 6.EE.B.7, 8.EE.C.7B

Standards-aligned

Jackie Schneider

Used 61+ times

FREE Resource

5 Slides • 10 Questions

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

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

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

128

Multiple Choice

4a - 5 + 2a + 9 = 28

-4

Multiple Choice

3b + 6b = 63

-7

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

Solving Equations Part1

2-step; variables on both sides; distributive property

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