Standard Form
Only Solving
Only Solving
What is the formula for standard form of a linear equation?
Ax + By = C
T-shirts cost $10 each (x) and hoodies cost $20 each (y). You spend a total of $100. Write a standard form equation.
10x + 20y = 100
Tacos cost $3 (x) and burritos cost $5 (y). You spend $30 total. Write a standard form equation.
3x + 5y = 30
T-shirts cost $10 each (x) and hoodies cost $20 each (y), with a total spent of $100 (10x + 20y = 100). If you buy 4 t-shirts (x = 4), how many hoodies (y) can you buy?
y = 3 hoodies
Tacos cost $3 (x) and burritos cost $5 (y), spending $30 total (3x + 5y = 30). If you buy 5 tacos (x = 5), how many burritos (y) can you buy?
y = 3 burritos
If 2x + 3y = 12 and x = 3, what is y?
y = 2
Apples cost $2 per pound (x) and bananas cost $1 per pound (y). You spend $12 total. Write a standard form equation.
2x + y = 12
Field trip buses carry 40 students (x) and vans carry 10 students (y). There are 200 students total going on the trip. Write a standard form equation.
40x + 10y = 200
Apples cost $2 per pound (x) and bananas cost $1 per pound (y), with a total budget of $12 (2x + y = 12). If you buy 3 pounds of apples (x = 3), how many pounds of bananas (y) can you buy?
y = 6 pounds
Buses hold 40 students (x) and vans hold 10 students (y) for 200 students total (40x + 10y = 200). If you take 3 buses (x = 3), how many vans (y) are needed?
y = 8 vans
If 4x - y = 10 and y = 2, what is x?
x = 3
Student tickets cost $5 (x) and adult tickets cost $8 (y). The school collected $400. Write a standard form equation.
5x + 8y = 400
A test has 2-point questions (x) and 5-point questions (y). The entire test is worth 100 points. Write a standard form equation.
2x + 5y = 100
Student tickets cost $5 (x) and adult tickets cost $8 (y), raising $400 total (5x + 8y = 400). If you sell 32 student tickets (x = 32), how many adult tickets (y) were sold?
y = 30 tickets
A test has 2-point questions (x) and 5-point questions (y) worth 100 points total (2x + 5y = 100). If there are 15 two-point questions (x = 15), how many five-point questions (y) are there?
y = 14 questions
If 3x + 5y = 20 and x = 0, what is y?
y = 4
You earn $15 per hour tutoring (x) and $10 per hour dog walking (y). You want to earn a total of $300. Write a standard form equation.
15x + 10y = 300
A farm sells 6-pound bags of potatoes (x) and 10-pound bags of onions (y). The farm sold 120 pounds of produce in total. Write a standard form equation.
6x + 10y = 120
You earn $15/hr tutoring (x) and $10/hr dog walking (y) to reach $300 (15x + 10y = 300). If you tutor for 12 hours (x = 12), how many hours must you walk dogs (y)?
y = 12 hours
Potato bags weigh 6 lbs (x) and onion bags weigh 10 lbs (y) totaling 120 lbs (6x + 10y = 120). If you sell 10 bags of potatoes (x = 10), how many bags of onions (y) were sold?
y = 6 bags
If -2x + 4y = 16 and x = -4, what is y?
y = 2
A store sells notebook packages with 3 notebooks (x) and folder packages with 4 folders (y). They need to ship a total of 96 items. Write a standard form equation.
3x + 4y = 96
An arcade game gives 50 points for target A (x) and 100 points for target B (y). You need 1,500 points to win a prize. Write a standard form equation.
50x + 100y = 1500
Notebook packages have 3 notebooks (x) and folder packages have 4 folders (y), totaling 96 items (3x + 4y = 96). If you ship 16 notebook packages (x = 16), how many folder packages (y) are shipped?
y = 12 packages
Target A gives 50 points (x) and Target B gives 100 points (y) toward a 1,500-point goal (50x + 100y = 1500). If you hit Target A 18 times (x = 18), how many times must you hit Target B (y)?
y = 6 times