Two-Step Equations
What expression, no need to solve.
Junior earns $12 per hour for tutoring and works h, hours, per week. He also gets a $25 bonus each week.
12h + 25
Write an equation, no need to solve.
A gym charges a $50 joining fee plus $20 per month. Another gym charges $30 per month with no joining fee. After how many months will the total cost be the same?
20x + 50 = 30x
7a + 10 = 2a
4x + 2 - 7x - 10 = 4
x = -4
6(x + 5) - 2x = 3x + 26
x = 2
A plumber charges $60 for a service call plus $40 per hour. An electrician charges $75 for a service call plus $35 per hour. After how many hours will they cost the same?
40x + 60 = 35x + 75
-3x + 5 = 17
x = -4
2(x - 3) + x = 6
x = 4
4(2y - 3) = 6y - 17
y = -1
10xy - x + 7y + 3x - 12y + 2(x +y)
10xy + 4x - 5y
Write an equation, no need to solve.
Charlie buys 5 snacks on Monday for x dollars. He buys 4 snacks on Tuesday for x dollars. On Wednesday he spends $2 on a drink. He realizes he has spent a total of $42 dollars on the past three days.
9x + 2 = 42 (simplified)
5x + 4x + 2 = 42 (unsimplified)
3(x + 8) - 2x + x - 18 = 10
x = 2
3(5z - 7) = 3z + 5(-2z + 5)
z = 1
2(3x+ 5x) - 6xy + 2xz - 4xy + 5x - 7xz
16x - 10xy - 5xz
Solve.
Two brothers are saving money. The older brother already has $25 and saves $10 per week. The younger brother has $40 and saves $8 per week. After how many weeks will they have the same amount of money?
7.5 weeks