Download 2.5- equations with variables on both sides

Warm-Up Exercises
Warm-up: Fluency quiz (sit with paper blank
side up)
Homework:Page 108 #30-44 all
Warm-Up1Exercises
EXAMPLE
Solve an equation with variables on both sides
Solve 7 – 8x = 4x – 17.
7 – 8x = 4x – 17
7 – 8x + 8x = 4x – 17 + 8x
7 = 12x – 17
24 = 12x
2=x
Write original equation.
Add 8x to each side.
Simplify each side.
Add 17 to each side.
Divide each side by 12.
ANSWER
The solution is 2. Check by substituting 2 for x in the
original equation.
Warm-Up2Exercises
EXAMPLE
Solve an equation with grouping symbols
1
Solve 9x – 5 = 4 (16x + 60).
1
9x – 5 = (16x + 60)
4
Write original equation.
9x – 5 = 4x + 15
Distributive property
5x – 5 = 15
Subtract 4x from each side.
5x = 20
x=4
Add 5 to each side.
Divide each side by 5.
Warm-Up
Example
3 Exercises
Solve the equation. Check your solution.
24 – 3m = 5m
ANSWER
3
Warm-Up
Example
4 Exercises
Solve the equation. Check your solution.
2
8y – 6 = 3 (6y + 15)
ANSWER
4
Warm-Up Exercises
Solve the equation, if possible.
5.
3x = 3(x + 4)
6.
2x + 10 = 2(x + 5)
Warm-Up
Exercises
GUIDED
PRACTICE
7.
9z + 12 = 9(z + 3)
ANSWER
9.
7w + 1 = 8w + 1
ANSWER
0
no solution
for Example 4
8.
3(2a + 2) = 2(3a + 3)
ANSWER
All real numbers
Daily
Homework
Quiz
Warm-Up
Exercises
Solve the equation, if possible.
1.
3(3x + 6) = 9(x + 2)
ANSWER
2.
7(h – 4) = 2h + 17
ANSWER
3.
The equation is an identity.
9
8 – 2w = 6w – 8
ANSWER
2
Daily
Homework
Quiz
Warm-Up
Exercises
4.
4g + 3 = 2(2g + 3)
ANSWER
5.
The equation has no solution.
Bryson is looking for a repair service for
general household maintenance. One service
charges $75 to join the service and $30 per
hour. Another service charge $45 per hour.
After how many hours of service is the total
cost for the two services the same?
ANSWER
5h