Multi-Step Problems
Sandra makes necklaces and sells them at a school craft fair. She uses the equation P=7.5n−(2.25n+15) to determine her total profit, in dollars, at the fair when n necklaces are sold.
Based on this equation, how much does she charge for each necklace?
What is $7.50?
The total daily expenses to operate Sheila's pie bakery are the cost of salaries and ingredients. Sheila has four employees, and she pays each employee a daily rate. On average, it costs the same amount of money to make each pie. This expression shows the total daily expenses for Sheila's bakery to make x pies.
4(75)+$0.50x
What does the 4(75) represent?
What is the amount of money Sheila must pay her employees each day?
The formula V=πr2h can be used to find the Volume, V, of a cylinder with a radius of r and a height of h.
What equation will give the height, h, of the cylinder that has a known volume and radius?
What is h=V/(3.14)r^2
A home repair company charges a flat fee of $125 plus an additional $35 per hour, h, a home repair job takes. The company expects to make at least $500 for one such home repair job.
Which inequality gives all the possible numbers of hours, rounded to the nearest tenth, the company expects the job to take so that the company makes at least $500?
What is h>=10.7?
Two functions are described below.
Which function has a greater y intercept?
An equation is shown.
3x−7=2(x+3)
What value of x makes the equation true?
What is 13?
A local fair charges an entry fee as well as a fee for each ride ticket purchased at the fair. The equation y=3x+15 can be used to determine the amount of money a person will spend at the fair.
What do the numbers 3 and 15 represent in terms of the money spent at the local fair?
What is 3 is the cost per ticket and 15 represents the entry fee?
For a classroom party, there are 12 bottles of fruit punch. Each bottle is filled with 850 cubic centimeters of punch. The fruit punch will be served in cone-shaped paper cups that are 7 centimeters across and 12 centimeters tall.
How many completely full cone-shaped cups of punch can be poured?
What is 66 cups?
The United States has an approximate population of 3.3 ×108 people. Each person in the United States consumes an average of about 14,000 grams of rice per year.
What number would represent the amount of rice, in grams, that people in the United States consume each year in scientific notation?
What is 4.62 x 1012?
Two functions are described below.
Which function has a greater slope?
What is f(x)?
Consider this system of equations.
−7x+8y=1
4x−8y=20
What is the y-coordinate of the solution for this system?
What is -6?
A town is offering rentals of bicycles and electric scooters at the park. The rental cost in dollars, y, and the amount of time in minutes, x, are represented by the equations shown.
What is the total cost to rent a bicycle for one hour?
What is $6.80?
Find the volume of a right circular cone that has a height of 19.4 cm and a base with a diameter of 9.9 cm. Round your answer to the nearest tenth.
What is 497.8 cm3?
A town is offering rentals of bicycles and electric scooters at the park. The rental cost in dollars, y, and the amount of time in minutes, x, are represented by the equations shown.
The cost of renting a bicycle and the cost of renting an electric scooter are the same when rented for how many minutes?
What is 12.5 minutes?
What is the slope of the points in the table below.
x | y
0 | 3
3 | 5
6 | 7
9 | 9
What is 2/3?
Solve for x
5(x+3)+3 = 3(x-2)
What is -12?
A town is offering rentals of bicycles and electric scooters at the park. The rental cost in dollars, y, and the amount of time in minutes, x, are represented by the equations shown.
What is the total cost to rent an electric scooter for one hour?
What is $10.60?
A cylinder has a base radius of 8 ft and a height of 17 ft. What is its volume in cubic feet to the nearest tenth?
What is 3418.1 ft3?
A certain television is advertised as a 36-inch TV (the diagonal length). If the width of the TV is 26 inches, how tall is the TV? Round to the nearest tenth of an inch.
What is 24.9 in?
Write an equation in slope intercept form for the line that passes through the point (1, 2) and (7, 8).
Remember
y-y1=m(x-x1)
What is y=x+1?
Solve for x
2x-15 = -10 - (2x-7)
What is 3?
x2 = 81
Solve for x.
**Hint**
You'll have 2 answers
What is 9 and -9?
What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth?
What is 2144.7 m3?
Members of a softball team raised $2252.25 to go to a tournament. They rented a bus for $1018.50 and budgeted $58.75 per player for meals. Write an equation that could be used to show how many players (p) could come on the trip.
What is 58.75p+1018.5=2252.25
What type of line is represented by the graph of the equation x=4?