Practice: Solving Equations

Steps for Solving Equations:
1.) ​ (a)  
2.) ​ (b)  

3.) ​ (c)  

4.) ​ (d)  

• Distribute
• Combine Like Terms
• Use Inverse Operations
• Isolate the Variable

4( x + 2) = 16

What is the solution to the equation?

• -2

• 0

• 1

• 2

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

The goal when solving an equation is to....

• isolate the variable.
• check the solution.
• guess and check.
• Combine Like Terms.

What is the first step you should take to solve this problem?

-3(x - 2) = -8 +9b

• add 8 to both sides

• subtract 9b from both sides

• Distribute -3 to the x and -2

• add 2 to both sides

Solve: 2x - 5 = 4x + 3

Important: No spaces in your answer

Solve: -3x + 1 = -7x - 9

Important: No spaces in your answer

• Subtracting 4 from both sides.

• Multiplying both sides by 3.

• Adding 4 to both sides

• Dividing both sides by 3.

Answer explanation

If we first divide everything by -2, we are left with;

3x + 4 = 16.

So the last step would be to separate the 3 from the x. Since the 3 is currently multiplying x, we would divide by 3.

What is the answer?

3x + 2 = -5x + 10

• x = 1

• x = -1

• x = 6

• x = -6

Answer explanation

If we add 5x to both sides, we get;

8x + 2 = 10.

Then we need to subtract 2 from both sides to get;

8x = 8.

Finally we divide both sides by what is attached to the x, which in this case is 8.

8x/8 = x and 8/8 = 1 so x=1