One-Step Linear Equations
Solve for x:
3x + 5 = 14
x = 3
Solve for x: 2x + 3 = 7x - 5
x = 8/5
Solve for x: 2x + 3 = 3x - 4
x = 7
|2x - 1| = 5
x = 3 and x = -2
The Drama Club sells T-shirts for $12 each and has already raised $60. The Art Club sells T-shirts for $15 each but started with only $15. For how many shirts sold will both clubs have raised the same amount of money?
15 shirts
Find the solution for 2x - 7 = 11
x = 9
Find the solution for 3(2x - 4) = 6x + 2
No Solution
4x - 2 = 2x + 6
x = 4
|3x + 4| = 7
x = 1 and x = -11/3
Company A charges $40 per day plus $10 per mile driven. Company B charges $25 per day plus $15 per mile. After how many miles will the total cost be the same for both companies?
3 miles
What is the solution to the equation 4(x - 2) = 16
x = 6
4x + 7 = 3x - 5
x = -12
5x - 2 = 2x + 8
x = 10/3
|4x - 3| = 3|2x + 1|
x = -3 and x = 0
Plan A costs $20 per month plus $5 per gigabyte. Plan B costs $35 per month plus $3 per gigabyte. For how many gigabytes will both plans cost the same?
7.5 gigabytes
2(x + 3) - 5 = 7
x = 3
Solve the equation:
2(x + 3) + 5 = 7x - 2
x = 13/5
3(x + 4) = 2(x - 1) + 5
x = -9
|2x − 3| = |x + 1|
x = 4 and x = 2/3
Ben charges $8 per walk plus a $20 startup fee. Mia charges $10 per walk but gives a $10 discount for first-time clients. After how many walks will they have earned the same total amount?
15 walks
Determine the value of x in the equation 5x/2 = 10
x = 4
Determine the value of x in the equation
3(2x−1)=2(2x+2)
x = 3.5
2(3x+2)=2(2x−1)+6
x = 0
|3x + 4| = |2x − 5|
x = -9 and x = 1/5
An adult ticket costs $2 more than a child ticket. If 3 adult tickets cost the same as 5 child tickets, what is the cost of a child ticket?
Child ticket = $3, Adult ticket = $5