Solving multi-step problems using quadratic equations in one variable

A small pipe takes 6 hours longer to fill a tank than a large pipe. Working together, the pipes can fill a tank in 2 hours.

True/False: The amount of time that it takes the large pipe, working alone to fill the tank is less than 2 hours.

• True

• False

• 7 ft

• 16 ft

• 8 ft

• 14 ft

The cost $C of making a circular medal of radius r cm is given by the formula $C=\ 5+8r^2+\ \frac{200}{n}$   , where n is the number of medals made. Find the radius of each medal if the cost of each medal is $55.50 and 400 medals were made.

• 7

• 5

• 2.5

• 2

What is the area of this indoor pool?

• 20 + s

• s + 40

• 20s

• 40s

The length of a rectangle is two more than three times its width. If the perimeter is 92 inches, find the dimensions.

• 11 in, 25 in

• 11 in, 54 in

• 11 in, 29 in

• 11 in, 35 in

The length of a rectangular garden is 10 yards more than its width. If the area of the garden is 600 square yards, find the length & width of the garden.

• The length is 30 & the width is 20

• The length is 20 & the width is -30

• The length is 60 & the width is 10

• The length is 24 & the width is 25

Ate Marwin and Ate Daisy are both working on the school canteen. Together they can finish cleaning the canteen in 4 hours. It takes ate Marwin working alone in 6 hours longer than it takes Ate Daisy working alone. Determine the quadratic equation formed on the given problem.

• x² + 6x + 12 = 0

• x² + 2x + 24 = 0

• x² - 6x + 12 = 0

• x² – 2x – 24 = 0

A local construction company builds a train of wood to donate to a children’s park. One of the wheels has a radius of 2  $\frac{1}{2}$  feet. How many square feet of wood does the company need to construct 4 wheels for the train? Use π≈3.14

• Area $A=\pi r^2$

• Circumference $C=\pi d$

The area of a garden is 96 m². Suppose the length of the garden is 4 m more than its width. Represent the width in meters by x, then the length is _______?

The product of two consecutive negative even integers is 24. Find the integers.

• -3, -8

• -24, -1

• -2, -12

• -6, -4