Two-Step Equations
Find two consecutive even integers such that the sum of the larger and twice the smaller is 62.
20 and 22
A rectangular garden has a length of (2x + 2) ft and a width of (3x) ft. Its perimeter is the same as an equilateral trianglular garden with side lengths of (2x + 4) ft. How much fencing would you need to enclose BOTH gardens?
What is 48 feet?
Seven times a number is equal to 12 more than 3 times the number. Find the number.
n=3
On a beach trip, Lucy can rent a bike from “Wheels by the Waves”, where they rent bikes for $12 plus $3 per hour or "Bikes by the Beach" for $6 plus $5 per hour. For how many hours will both rentals cost the same?
3 hours
Find two consecutive even integers such that twice the smaller is 26 less than 3 times the larger.
20 and 22
James bought a pizza at Giuseppe's for $8 plus $2 per topping. Joseph bought a pizza at Tony's for $10 plus $1 per topping. How many toppings could they each buy so that they paid the same amount of money for their pizzas?
2 toppings
Find 3 consecutive odd integers such that 3 times the middle number is 153.
49, 51, 53
Daniel can create a photo album at Picture Hut for a set up fee of $10.00 plus $0.50 per page. He can also create one at Photo Barn for no set up fee but $3.00 per page. How many pages would he need to create in order for both photo shops to cost the same?
4 pages
Find the second of three consecutive integers if the sum of twice the first and four times the second is equal to 20 more than twice the third.
The second number is 6.
Bob joined a fitness center for $325 and no monthly charge. Bill joined a different fitness center for $100 and $15 per month. At what month of membership will Bob and Bill be paying the same amount?
15 months