Combining Like Terms
Combine like terms:
-4 + n - 8
-12 + n
or n -12
Solve for x:
x + 1 = 2
x= 1
Use distributive property:
3 (x +2)
3x + 6
How many solutions?
3x + 12 = 3x - 12
No solution
Veronica is riding her bike at a constant speed of 0.25 miles per minute.
Write an equation using Y to represent the distance she rides (in miles) and x to represent the number of minutes she rides.
Y = 0.25x
Combine like terms:
-X + 5 - 4X - 3
-5x + 2 OR 2 - 5x
Solve for x:
3x= 21
x= 7
Use distributive property:
8 ( -b + 4)
-8b + 32
How many solutions?
2x + 3 = 4x + 3
one solution
What does equivalent mean?
The same or equal
Combine like terms:
x + 4 x + 12 - 1 + 3x
8x + 11 or 11 + 8x
Solve for x:
X / 9 = 3
X= 27
Use distributive property:
6 (-5x + 7)
-30x + 42
How many solutions?
3 (x + 2) = 3x + 6
IMS or all values
What month is Ms. Dalton's birthday in?
July!
Combine like terms:
10 + 5 (9n - 4)
10 + 45n - 20
45n - 10 or -10 + 45n
Solve for x :
x - 265 = 100
x = 365
Use distributive property:
-4 (-x + 9)
4x -36
How many solutions?
2 (x - 4) - 2 = 2x + 10
no solution
How can I change the equation so it is only one solution?
2x + 5 = 2x + 10
change one of the 2x's to any other number of x's.
Combine like terms:
5 (-2n + 4) + 2 (n - 3)
-10n + 20 + 2n -6
-8n + 14 or 14 - 8n
Solve for x:
5x= 125
x = 25
Use distributive property:
(1 - 9x) -10
-10 + 90x
How many solutions?
-5x + 3 (x - 1) = -x - 2 - 1 - x
IMS or all values
The amount of water (in liters) in tank 1 after t minutes is 30t + 25.
The amount in tank 2 after t minutes is -20t + 1000.
When is the amount of water in the two tanks equal?
30 t + 25 = -20t + 1000
+20 t + 20t
50t + 25 = 1000
- 25 -25
50t = 975
t= 19.5 minutes