Solving Equations
Solve
-3x - 4 = 8
x = -4
5x + 2x + 10
7x + 10
A bag of trail mix weighs 2.5 pounds. After eating some, 0.75 pounds remain.
Write an equation and find out how much trail mix was eaten.
x + 0.75 = 2.5
x = 1.75 pounds
Round to the nearest tenth
12.6 in
Find the Volume of a Rectangular Prism with a width of 4in, a height of 7in, and a length of 9in
V= 252in3
Solve
2(x-6) =10
x = 11
4x -2(3 + 5x)
-6x - 6
A class raised $48 selling bracelets. They already had $12 in their fund before the sale. Each bracelet costs $3.
write an equation and find out how many bracelets were sold.
3x + 12 = 48
x = 12 bracelets
Find the area of a circle with a diameter of 10 km
Round to the nearest tenth
78.5 km2
Find the volume of a cylinder with a radius of 3in and a height of 6 in. Round to the nearest tenth.
169.6 in3
Solve
3x + 1/3 = 4
x = 1 2/9
3.5 + 5.6(3x - 4)
-18.9 + 16.8
A pizza shop charges $8 for a delivery fee plus $1.75 for each slice ordered. The total bill was $22.
Create an equation and find out how many slices were ordered.
1.75x + 8 =22
x = 8 slices
What is the radius of a circle with a circumference of 18 feet.
Round to the nearest tenth
2.9ft
A large cylindrical water container has a radius of 6 inches and a height of 18 inches.
Small water bottles each hold 339 cubic inches of water.
6 bottles
Solve: Round to the nearest tenth
2(-3.5x - 4.7) = 10
x = -2.8
1/3 - 4(3/4x + 2)
3x - 7 2/3
An aquarium already contains 4.5 gallons of water. Water is added at a rate of 1.5 gallons per minute. After some time, the tank contains 10.5 gallons of water.
Write and solve an equation to determine how many minutes the water ran.
1.5x + 4.5 = 10.5
x = 4 mins
A circular flower garden has a diameter of 12 feet.
Mulch will cover the entire garden.
Mulch costs $1.50 per square foot.
How much will it cost to cover the garden with mulch?
Round the area to the nearest tenth first, then calculate the cost.
$169.65
A fish tank shaped like a rectangular prism measures
36 in × 18 in × 20 in.
The bottom 3 inches of the tank will be filled with gravel. Gravel comes in cylindrical bags with a radius of 4 in and height of 12 in.
How many bags of gravel are needed to fill the bottom layer of the tank?
4 bags
Solve: 1/3x + 4(1/2x - 5) = 1/2
x = 8 11/14
1/5 x - 2/3 + 3(7/3x - 1/5)
7 1/5 x - 1 4/15
A large water bottle originally contained 5/6 of a liter of juice.
During practice, a runner drank 1/3 of a liter right away.
After that, the runner took several equal sips, each sip being 1/12 of a liter.
When the runner finished, 1/121 of a liter remained in the bottle.
Let x represent the number of equal sips the runner took.
Write an equation and solve to determine how many sips the runner took.
5/6 - 1/3 -1/12x = 1/12
x = 5 sips
A circular fountain has an area of 314 square feet.
Lights will be placed every 4 feet around the edge of the fountain.
About how many lights are needed?
16 lights
A construction company pours concrete into cylindrical columns with a radius of 2 ft and a height of 10 ft.
Concrete is delivered in large containers shaped like rectangular prisms that measure 6 ft × 6 ft × 8 ft.
How many full columns can be filled with one container of concrete?
2 columns