Write 2-Step Equations/Inequalities
Charlie needs $220 for a concert ticket. He already has $32 and he can earn the rest by working 20 hours at his job. If h represents his hourly earnings, write an equation to represent this situation.
220 = 32 + 20h
or
220 - 32 = 20h
Solve the equation
8x + 11.25 = 57.25
x = 5.75
Solve the inequality
2x + 128 > 240
x > 56
Solve the equation
24(10x - 9) = 72
x = 1.2
Solve and graph the inequality
-8x + 8 > 28
x < -2.5
See Teacher for the graph
Elizabeth needs $99 for a class trip. She already has $42 and she can earn the rest by babysitting for 12 hours. I h represents her hourly earnings, write an equation to represent the situation.
99 = 42 + 12h
or
99 - 42 = 12h
Solve the equation
5.15x + 5 = 71.95
x = 13
Solve the inequality
2k + 36 > 70
k > 17
Sovle the equation
8(12x - 19) =412
x = 5.875
Solve and graph the inequality
-4x + 2 < 4
x > -0.5
See Teacher for the graph
Aaron's airplane needs a full tank of fuel to travel 1,300 miles. How many tanks of fuel, t, does Aaron's airplane need to travel more than 3,900 miles?
1300t > 3,900
Solve the equation
4.9x - 1.9 = 27.5
x = 6
Solve the inequality
700d < 2800
d < 4
Solve the equation
-1/2(b - 6) = 5
b = -4
Solve and graph the inequality
-7x > 56
x < -8
See Teacher for the graph
On a road trip, a family drive 400 miles per day. How many days, d, must they travel to reach a distance of more than 1,500 miles?
400d > 1,500
Solve the equation
1/3x - 11 = 5
x = 48
Solve the inquality
5200t < 15,600
t < 3
Solve the equation
-4(p - 212) = 44
p = 201
Solve and graph the inequality
m/-5 > 2
m < -10
See Teacher for the graph
Sarah budgets $125 for yoga training. She buys a yoga mat for $25 and pay $5 per yoga class. Write an equation to represent how many yoga classes, y, she can take.
125 = 25 + 5y
Sovle the equation
102.45 = 2k - 12.45
k = 57.45
Solve the inequality
3/4x - 2/3 < 5/6
x < 2
3.2 = 4/5(b - 5)
b = 9
2/3x - 1/6 > 1/2
x > 1
See Teacher for the graph