One- and Two-Step Equations
x + 17 = 35
x = 18
2(x + 1) = 4
x = 1
a + 5 = b, solve for a
a = b - 5
x - 3 ≥ 4
x ≥ 7
Casho needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5 hours and charged her $102 for parts. The total was $627. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
x = 105
x - 3 = -7
x = -4
x = 3
x/5=6/10
x = 3
-5 + x < 12
x < 17
Madison took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $5 per mile. The total fare was $98.20, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride.
m = 19
2x + 1 = 9
x = 4
x = -13
3u + 6 = w, solve for u
u=(w-6)/3
3x - 6 ≥ 27
x ≥ 11
Bentley wants to ride his bicycle 39.6 miles this week. He has already ridden 8 miles. If he rides for 4 more days, write and solve an equation which can be used to determine x, the average number of miles he would have to ride each day to meet his goal.
x = 7.9
-15 + 4x = -51
x = -9
63 = -7(-x + 3)
x = 12
7/(x+3)=6/x
x = 18
7 - 4x < 55
x > -12
A group of friends wants to go to the amusement park. They have no more than $115 to spend on parking and admission. Parking is $15, and tickets cost $25 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.
x ≤ 4
-27 = -2x - 83
x = -28
-54 = -9(12 - x)
x = 6
(ab-4)/d=c , solve for b
b=(cd+4)/a
-3 ≤ -4x + 13
x ≤ 4
A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $9.75, and tickets cost $13.75 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.
p ≤ 10.2