NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Accumulative Review 10
Show all work and circle all answers.
Due Thursday, Feb 5.
1. The table below shows the cost of tickets to a county fair.
Number of Tickets
1
2
3
4
5
Total Cost ($)
7
14
21
28
35
a. Use words to describe the rule to find the total cost of tickets to the fair as a function of the number of tickets
purchased.
b. Use symbols to describe the total cost of tickets to the fair as a function of the number of tickets purchased.
c. Write an equation to represent the function displayed in the table. Define the variables.
d. How much will it cost a family to buy 7 tickets?
e. The sixth-grade class took a field trip to the fair and spent at least $420 on tickets. Write and solve an inequality to
find the number of tickets they bought.
2. A pipe extends 0.875 kilometer below the ground.
a. In relation to the ground, what is the elevation of the pipe? Write the elevation as a fraction. Explain how you
found your answer.
5
b. The elevation of an underground river is 2 kilometers below the ground. What is the elevation of the
12
underground river as a decimal? Explain how you found your answer.
1
c. The elevation of the lowest part of a cave is −3 3 kilometers. How does this elevation compare to that of the
underground river?
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
3. You are planning to make a collage and are gathering materials. For the backing you will use a piece of heavy
3
2
recycled cardboard that is 4 4 feet long and 2 5 feet wide. One side of the cardboard will be covered with fabric. The
other side will be left bare against the wall when you hang the collage.
a. Estimate how much fabric you will need. Explain how you found your estimate.
b. Find the actual amount of fabric you will need. Show all your work and explain each step, so someone who
doesn’t know how to work the problem will understand.
4. A surveyor is surveying a conservation area.
a. A rectangular wetland conservation area is 5.25 miles by 4.8 miles. Estimate the area of the park. Use A = ℓw.
Explain each step.
b. Explain how to multiply decimals. Use the dimensions in part a to find the area of the conservation area.
c. Explain how to divide decimals. Then divide to find the length of a rectangular lot that is 1.6 miles wide and has an
area of 2.8 square miles.
5. A store is marking down clothing 30% for the back-to-school sale.
a. Tell how to write a percent as a fraction and as a decimal.
b. Estimate the amount taken off of a jacket regularly priced $44. Explain your reasoning.
6. The people of a neighborhood are creating a community vegetable garden.
a. One part of the garden will have 6 rows of corn plants. Each row will be 11.25 feet long. Irrigation soaker hoses
will be laid along each row of corn plants. How many feet of soaker hose will be needed? Explain the steps you go
through to solve this problem. Be sure to explain how you decide where to place the decimal point.
b. The neighbors have $18.57 to spend on strawberry plants. A 6-pack of plants costs $2. How many packs can they
buy? Show your work.
NAME _____________________________________________ DATE ____________________________ PERIOD _____________