Solve one-step equations
6y = -24
-4
Mrs. Rodgers cuts 2 inches from a piece of string. The string is now 13 inches long. If the string was n inches long to start, write an equation to represent this situation
n - 2 = 13
5w + 13 = 33
w = 4
DC started with $50 and spent $5 each day at the store. She has $10 left. Write an equation to represent this situation that could be used to find the number of days d she went to the store
50 - 5d = 10
11 = p - 5
16 = p
A shark is at a certain depth, d, in the ocean. After ascending (swimming up) 5 feet, it is now at a depth of -14 feet. Write an equation to represent this situation
d + 5 = -14
7g - 4 = 31
g = 5
Fatima orders model car kits, which cost $7.50 each, from a hobby store and the store charges $6.00 to deliver the kits. If Fatima spends a total of $73.50, write an equation to determine the number of model car kits Fatima buys.
7.50m + 6 = 73.50
7 = 6 + b
1 = b
Miss Nolan paid $76.50 for a pair of jeans after using a $20 off coupon. If the original price of the jeans was, j, write an equation to represent this situation.
j - 20 = 76.50
-18 = -h - 17
h = 1
Jonelle spends $22.50 at a library book sale. She spends $4.50 on paperback books and buys 6 hardcover books of equal value. Let c represent the cost of each hardcover book. Write an equation to represent this situation
22.50 = 4.50 + 6c
d/ -5 = 10
-50
A diver is at a certain depth in the ocean, d. After descending (going down) 8 3/4 more feet, the diver is now at a depth of -40 1/2 feet. Write an equation to model this situation.
d - 8 3/4 = -40 1/2
-5k - 8.3 = -33.3
k = 5
Emele buys food for a cookout. He buys 4 packages of hot dogs and one box of 40 hamburgers. Emele has 64 total items to grill. Write and solve an equation to determine how many hot dogs are in each package, h.
4h + 40 = 64; h = 6 hot dogs
8 = -2/6 w
-24 = w
At the end of the week Carissa had $55.75 in her checking account. This is $46.02 less than she had at the beginning of the week. Write and solve an equation to determine the amount of money m Carissa had at the beginning of the week.
m - 46.02 = 55.75; m = $101.77
- 9 = 1/3 m - 3
m = -18
A bowl contains 55 mints. Customers eat 4 mints each hour. Determine how many hours, h, remain until 22 are mints left. Write and solve an equation
55 - 4h = 22; h = 8.25 hours