2 Step Equations
3x + 4 = 19
x = 5
10 + 15x = 6x + 37
x = 3
2(4x + 7) + 5 = x + 8 + 6x
8x + 14 + 5 = 7x + 8
8x + 19 = 7x + 8
x = -11
2x + 4 = 3x + 1
One Solution
Cell phone plan A costs $30 per month and you must buy a new phone for $800. Cell phone plan B costs $80 per month and you get a free phone.
Write an expression to represent Plan A and Plan B.
Plan A: 30x + 800
Plan B: 80x + 0
6x + 2 = 44
x = 7
7x + 9 = 5x + 21
x = 6
5(x − 7) = 3x + 15
x = 25
5x + 7 = 2x + 5 + 3x + 2
All Solution
In Denver, there are 5 inches of snow on the ground and 1/2 of an inch is melting each hour. No additional snow is falling.
In Baltimore, there is 1 inch of snow on the ground and 1.5 inches are falling per hour. No snow is melting.
Write an expression to represent the snow in Denver and Baltimore.
Denver: 5 - 1/2x
Baltimore: 1 + 1.5x
12x - 6 = 30
x = 3
6x - 4 = 2x - 12
x = -2
3(2x + 1) = 2x + 5
6x + 3 = 2x + 5
4x = 2
x = 2
‐5(x + 9) = ‐3(x − 8) − 2x
No Solution
Cell phone plan A costs $30 per month and you must buy a new phone for $800. Cell phone plan B costs $80 per month and you get a free phone.
When will the two plans cost the same?
16 months
8x - 4 = -28
x = -3
-8x - 7 = 3x + 22
x = -29/11 OR x = -2.636
1/2(6x + 4) = x + 1 + 2x + 3
No Solution
3/4x + 1/2 = 1/4x - 3
One Solution
In Denver, there are 5 inches of snow on the ground and 1/2 of an inch is melting each hour. No additional snow is falling.
In Baltimore, there is 1 inch of snow on the ground and 1.5 inches are falling per hour. No snow is melting.
In how many hours, x, will both cities have the same amount of snow on the ground?
2 hours
7x + 5 = -23
x = -4
-7x - 9 = -5x - 19
x = 5
1/3(2x+ 6) = -3(x + 4) - x
x = -3
2/3x - 13 = 2(1/3x - 5) - 3
Infinately Many Solutions
OR
All Solutions
Liam and Noah are saving money to buy a new video game that costs $80. Liam already has $20 and saves $5 per week. Noah has $10 and saves $7 per week.
Who will have reach $80 first?
NOAH
20 + 5x = 805x = 60
x = 12
Liam 12 weeks
10 + 7x = 80
7x = 70
x = 10
Noah 10 Weeks