Equations And Graphs Worksheet - Test 2 Practice Question Bank (Page 3 of 3) in pdf

Equations And Graphs Worksheet - Test 2 Practice Question Bank Page 3

Topic 8: Applications

1. Squares of side x are cut from each corner of a 18-in by 24-in piece of cardboard. The cardboard

is folded to make an open top box.

a) Write and equation for the volume of the box

b) What size squares should be cut out to make a box of maximum volume?

c) What is the maximum volume?

2. How many millilieters of a 35% acid mixture must be added to 200mL of a 60% acidic solution to

make a solution that is 42% acid?

3. How many ounces of peanuts should be added to a 16 oz can of mixed nuts containing 30%

peanuts to bring the mixture up to 60% peanuts?

4. A farmer wishes to fence in his pasture in two adjacent pens

like the figure on the right. The fenced are needs to have an

area of 3125 square feet. What is the minimum amount of

fencing that the farmer will need?

5. A farmer has 120 feet of fencing with which to enclose two adjacent rectangular pens as shown.

What dimensions should be used to enclose an area that will be a maximum? What will the

area be?

6. A farmer needs to build a rectangular pen next to his barn. The pen will only need to be fenced

on three sides as the barn will be the fourth side. The pen needs to have an area of 880 sq ft.

What will be the dimensions of the pen if the farmer wishes to use the least amount of fencing

possible?

7. Paul rode his bike 15 miles to his friend’s house. From his friend’s house, he drove a car 45

miles to his cabin. He drove 37 miles an hour faster in the car than he rode his bike. If the 60

mile trip took 2 hours, how fast did he ride his bike?

Equations And Graphs Worksheet - Test 2 Practice Question Bank Page 3