Literal Equations
Solve for x
y = x + z
x = y - z
Solve for x
3x + 5 < 11
x < 2
The sum of two consecutive numbers is 37. What are the numbers?
18 & 19
A lemonade stand sells cups of lemonade for $2 each. The cost to make lemonade (ingredients, cups, etc.) is $10. How many cups must be sold to break even?
5 cups
The sum of a father’s age and his son’s age is 50. The father is 30 years older than his son. How old are they?
Son = 10 Father = 40
Solve for x
dx + e = g
g-e/d
Solve for y
2y - 8 > 6
y > 7
The sum of three consecutive numbers is 72. What are the numbers?
23, 24, & 25
A bakery sells muffins for $3 each. The fixed costs (rent, electricity) are $60, and each muffin costs $1 to make. How many muffins must the bakery sell to break even?
30 muffins
A rectangle has a length of 8 m and a width of 5 m. Find its perimeter.
P = 26m
Solve for b
y = mx + b/k
b = yk -mx
Solve for x
-4x + 7 ≥ 3
x ≤ 1
The difference between two consecutive integers is 1. If the larger is 15, what’s the smaller?
14
A printer charges $10 per print. Fixed costs are $50, and each print costs $4 in materials. How many prints must be sold to break even?
9 prints
Anna is 4 times as old as her daughter. In 5 years, she will be twice as old as her daughter. How old are they now?
Daughter = 2.5. Anna = 10
Solve for a
P = 1/2a + b
Solve for x
5x - 3 ≤ 2x + 9
x ≤ 4
The sum of three consecutive odd numbers is 81. What are the numbers?
25, 27, 29
A T-shirt company sells shirts for $25 each. The fixed costs (rent, machinery) are $500, and the cost to make each shirt is $15. How many shirts must be sold to break even?
50 shirts
A triangle has sides of 7 cm, 10 cm, and 12 cm. Find its perimeter.
29cm
Solve for x
A = xy + xz
x = A/(y+z)
x/3 + 2 > 5
x > 9
The sum of three consecutive even numbers is 96. What are the numbers?
30, 32, 34
A company sells gadgets for $40 each. Fixed costs are $600, and the production cost per gadget is $25. They offer a $5 discount per gadget for large orders. How many gadgets must be sold at full price to break even?
40 gadgets
A garden is in the shape of a trapezoid. The lengths of the parallel sides are x+5 meters and 2x−1 meters. The other two sides are x meters and x+3 meters. If the perimeter of the garden is 50 meters, find the length of each side.
x = 8.6m
x + 5 = 13.6m
2x - 1 = 16.2m
x + 3 = 11.6m