Mult-Step Equations
3x+15=24
x=3
1/4x+17=x-4
x=28
Two friends met up for dinner and dessert. Each friend bought a medium drink and two cupcakes and one friend bought a meal for $12.00. The friend who bought the meal paid $29.00 in total. If a medium drink cost $3.50, what is the cost of a cupcake? Solve for x.
x=$2.50
3(2x+1)=5(x-4)
x=-23
8x+6x-25=-35
x=-5
15-2x=-7x
x=-3
Marty went shopping and bought a hat, a new pair of pants, a pair of sunglasses, and a hat that cost $9. The pants were twice as much as the hat, and the sunglasses were half the price of the hat. The total cost of his purchase was $65. What is the cost of each item?
Hat= $16
Pants= $32
Sunglasses= $8
5+1/3(6x+9)=-(x-4)
x=-4/3
3x+2=17
x=5
-4x+12=4x+20
x=-1
Frank went to the movies. Frank paid for the movie, popcorn, and a drink. The movie was three times the price of the popcorn, and the drink was the same price as the popcorn. If the entire cost was $12.50, what was the price of each item?
Movies= $7.50
Popcorn= $2.50
Drink= $2.50
3(x-2)=9
x=1
18-5w+7w-4=28
w=7
13+2(x-6)=4x-7
x=4
Liam and his 3 friends went to the ski mountain. Each of them paid $5.50 for admission and they also each rented ski. Liam forgot to bring shoes, so he had to rent a pair for $3. The total cost for the four friends was $33. What was the cost of the ski rental? How much did Liam pay in total?
Ski Rentals= $2
Liam spent= $10.50
2(1-5x)+4=-8
x=1.4
-12=10n-40n+3
n=1/2
-11x+9=-2x+45
x=-4
Amy pays $2.50 each time she goes to the gym. She could buy a membership for a one-time fee of $15 and then only pay $1 everyday she goes to the gym. How many times will she have to go to the gym for it to be the same amount.
x=10
-2(x-5)=6(2-.5x)
x=2