1. 2-4 Solving Equations Goal:
Solve complex linear equations that involve distributive property, combining like terms, and variables on both sides.
Eligible Content:
A / A / A

2. Steps Simplify each side of equation. Move variables to the same side.
Get the variable alone.

3. Examples 3(x + 2) = 4x + 2 3(x + 1) = 3x + 3 2(3x + 4) = 8x + 9
all real numbers
2(3x + 4) = 8x + 9
x = –0.5
2(x + 4) + 3x = 2x – 7
x = –5

4. Examples 4(1 – x) + 3x = -2(x + 1) 2(12x + 16) = 60 + 24(x – 2)
no solution
12 – (3x + 8) = -2(x – 4)
x = –4

5. A. 38
B. 28
C. 10
D. 36

6. A.
B. 0
C. All real numbers
D. no solution

7. Practice
Worksheet – “Combining Like Terms, Distributive Property and Variables on Both Sides”

8. Word Problem #1
One car rental agency charges $60 plus $0.50 per mile to rent a car. Another car rental agency charges $47.50 and $0.75 per mile to rent a car. How many miles would you have to drive for each agency to cost the same amount?
0.50x + 60 = 0.75x
50 miles

9. Word Problem #2
There are 75 students taking Spanish. This number is increasing by 5 students per year. There are 99 students taking German. This number is decreasing by 3 students per year. How long until the same number of students are taking Spanish and German? 5x + 75 = -3x years

10. Homework
Page 100 #3-8, 16-21