Distribute It!
Simplify: 3(x + 2)
3x + 6
x - 8 = 7
x = 15
What operation would you use first?
x + 9 = 14
Subtract 9 from both sides.
x + 4 = 10
One Solution
You have $10 and save $5 each week.
y = 5x + 10
Simplify: 4(x - 3)
4x - 12
3x = 21
x = 7
What operation would you use first?
4x + 6 = 22
Subtract 6 from both sides.
3x + 2 = 3x + 7
No Solution
A gym charges $10 plus $6 per visit.
y = 6x + 10
Simplify: 5(2x + 4)
10x + 20
5x + 4 = 29
x = 5
What should you do first?
3(x + 4) = 24
Distribute 3
4(x + 2) = 4x + 8
Infinite Solutions
You have a $50 gift card and spend $5 each visit.
y = -5x + 50
Solve: 6(2x - 5)
12x - 30
3x + 5 + 2x = 35
x = 6
What should you do first?
4x + 3 + 2x = 27
Combine Like Terms
5x + 3 = 3x + 13
One Solution
A bowling alley charges $6 for shoes plus $7 per game.
y = 7x + 6
Solve: -3(2x - 4)
-6x + 12
8x + 4 = 5x + 25
x = 7
What should you do first?
2(3x + 4) = 20
Distribute 2
6(x + 3) = 6x + 18
Infinite Solutions
You start with $75 and spend $8 each week.
y = -8x + 75