Basic 2-Step Equations
x/2 + 16 = 18
x=4
-4x + 5 = -17
x = -3
x + 23 > -11
x > -34
2x + 11 > 23
x > 6
Sara charges a fee of $30 and $5 an hour to tutor people in math. If she made $80, how many hours did she work?
Write an equation for this situation.
5x + 30 = 80 or 30 + 5x = 80
-3x -1 = 29
x = -10
(x+3)/5 = 8
x = 37
16x > -48
x > -3
x/2 + 6 >= 13
x>= 14
Sarah earns $20 an hour and already has $100 saved. When will she have more than $300?
Write an inequality for this situation.
20x + 100 > 300
x/5 - 9 = -4
x = 25
2(3x + 6) = 30
x = 3
x/-9 <= -4
x >= 36
-3x + 9 > 36
x < -9
Daily Double
A teacher can have no more than 30 students in the class. If they already have 9, how many more students can join?
Write an inequality for this situation.
x + 9 <= 30
-7 + 2x = -29
x = -11
Daily Double
-4( 2x + 4) = -56
x=5
-11x < 132
x > -12
-5x - 12 > 23
x < -7
Tickets to a show cost $7 each and parking is $8. A group of friends can spend no more than $50. How many tickets can they buy?
Write an inequality to represent this situation.
7x + 8 <= 50