Solve for missing data
If Derrick has 14 cows with four legs each, how many chickens with two legs does he have if the combination of chicken and cow legs equals 74?
9 chickens
Elise and Anjali are both drinking milkshakes. Elise starts with 12 ounces and drinks 1/4 an ounce per second. Anjali starts with 20 ounces and drinks 2/3 an ounce per second. If their graphs intersect at (4.8, 7.2), what do each of these values mean in this context?
4.8 seconds, 7.2 ounces
y= -3x+10
y= -2x+6
(4, -2)
y= 4x-5
y= -2x+7
Show me what it looks like!
One solution, intersecting lines
Alicia and Madison are both babysitting. Alicia charges $5 for the first hour and $8 for each additional hour. Madison charges $15 for the first hour and $6 for each additional hour. Write an equation which represents when they would earn the same amount of money.
8x+5 = 6x+15
Kadir wants to buy 2 bouquets of flowers for his valentine for $12 each, and he's trying to decide how many pieces of chocolate he can buy for $0.75 per piece. How many pieces of chocolate can he buy with a total of $30 for both the bouquets and chocolate?
8 pieces of chocolate
Emily is planning a kayaking trip. Kayak Rental A charges a base fee of $15 plus $4.50 per hour. Kayak Rental B charges a base fee of $12.50 plus $5 per hour. If the solution was (5, 37.5), what does this tell you about the situation?
5 hours, equal at $37.50
y= 6x
y= -4x+7
(0.7, 4.2)
y= 5x-15
y= 5(x-3)
Show me what it looks like!
All solutions, one line
Cell phone Plan A costs $70 per month and comes with a free iPhone. Cell phone Plan B costs $50 per month, but you would need to buy a $500 iPhone. Write an equation to represent when these two plans would equal the same amount.
70m=50m+500
If Kelsey buys 12 cucumbers at $0.50 per unit, how many heads of lettuce can she buy for $1.50 per unit with a total of $12 to spend?
4 heads of lettuce
Ms. Johnson and Mrs. Olson are reading the same book at different rates. If Ms. Johnson reads 50 pages per day, and Mrs. Olson started two days after Ms. Johnson but she reads 75 pages per day, what would the solution tell you given the context of the situation?
The day when they are on the same page, and haow many pages they both have read
y= 2/3x -4
y= -4/3x +9
(6 1/2, 1/3)
y= -2/3x +8/3
y= -4/6x +17/6
Show me what it looks like!
No solutions, parallel lines
Kiera and Allie are biking in the same direction on the same path. Kiera started riding half an hour before Allie at a constant speed of 12 mph. Allie begins biking at a constant speed of 16 mph. Write an equation to represent when Kiera and Allie meet
16t = 12(t+0.5)