1. Bellwork

2. Reminder!!! Step 1: Complete the distributive property.
Step 2: Combine like terms.
Terms on the same side of the equal sign.
Step 3: Move all variables to one side of the equal sign and all constants to the other side of the equal sign.
Use addition and/or subtraction
Step 4: Solve for the value of the variable.

3. REVIEW 1 Solve. Solution: Check:
Using the Four Steps to Solve an Equation
Solve.
Solution:
Check:
The solution set of the equation is {1}.

4. REVIEW 2 Solve. Solution: Check:
Using the Four Steps to Solve an Equation
Solve.
Solution:
Check:
The solution set of the equation is {−1}.

5. WAIT!!! What happens if there are decimals in the equation?
No worries! You can use the same four steps!
Distributive property 1 – 1.5x = 4.5 – 0.1x – 0.7
Combine like terms 1 – 1.5x = 3.8 – 0.1x
Variables and constants x = 2.8
Solve x = -2

6. What if I don’t like decimals?
No problem – you can eliminate them easily!
Identify the furthest place value in your equation, (tenths, hundredths, etc.)
Multiply each TERM by that place value.
Tenths place = multiply each term by 10
Hundredths place = multiply each term by 100
Watch what happens…

7. Now, use the same four steps!
Furthest place value = tenths place so, multiply each term by 10
(10) 0.5(2 – 3x) = (10) 4.5 – (10) 0.1(x + 7)
5(2 – 3x) = 45 – 1(x + 7)
Now, use the same four steps!
Distributive property 10 – 15x = 45 – x – 7
Combine like terms 10 – 15x = 38 – x
Variables and constants x = 28
Solve x = -2

8. What would you multiply by?

9. What would you multiply by?
Solve each equation:
9.47x = 7.45x – 8.81
2w – 0.4 = w + 1.1w
x = 8.52x
39.21x = 42.03x
0.6(10n – 3) = 1.5(n + 2) – 0.3
0.5(p + 3) = 3( p)