LEAP Practice: Algebra I: Number and Quantity

An engineer computes the ratio of these two measurements.

*Fuel efficiency, measured in miles per gallon

*Speed, measured in miles per hour

She divides fuel efficiency by speed. What unit will the quotient have?

• gallons per hour

• hour per mile

• gallons per mile

• hours per gallon

The Louisiana State Capitol Building in Baton Rouge has 34 floors. Which of the following would be a good estimate for the height of the Louisiana State Capital Building?

• 170 feet

• 204 feet

• 460 feet

• 680 feet

For a television commercial 20 cars will be parked bumper to bumper to form a line. Which of the following would be the approximate length of the line of cars?

• 1/2 mile

• 1/8 mile

• 800 feet

• 300 feet

To honor veterans, Carl has planned a Walking for Vets Program. He has mapped out a 1,000 mile path and plans to walk 12 hours per day. If Carl exercises regularly, which is the best approximation of how long the walk will take?

• 2 days

• 5 days

• 20 days

• 90 days

The density of tap water varies with temperatures shown below:

Cylinder #: 1 Temperature: 4 degrees Celsius Mass: 100.0 grams

Cylinder #: 2 Temperature: 40 degrees Celsius Mass: 99.2 grams

To determine whether the two cylinders contain the same volume of water, each cylinder is weighed. Cylinder 1 is weighed in an enclosed cylinder at 4 degrees Celsius while cylinder 2 is weighed in an enclosed cylinder at 40 degrees Celsius. The results are shown in the table. Which of the following would be true about the results?

• Cylinder 1 and cylinder 2 contain the same volume of water.

• Cylinder 1 contains a larger volume of water than cylinder 2.

• Cylinder 2 contains a larger volume of water than cylinder 1.

• There is not enough information to compare the volume of water in cylinder 1 to the volume in cylinder 2.

A stunt motorcycle rider plans to jump over 3 school buses parked side by side using ramps placed on each side of the jump path. Which of the following would be the best estimate for the length of his jump?

• 10 feet

• 30 feet

• 80 feet

• 140 feet

Sheniqua has a collection of rare dimes in a display case. The diagram for the display case is shown. Which of the following would be the best estimate for the dimensions of Sheniqua's display case?

• 4 inches wide by 10 inches long

• 3 inches wide by 8 inches long

To set up to play a game, 5 chairs are placed side-by-side. Participants hold hands and spread out to form a circle around the chairs such that the line of chairs forms the diameter of the circle. Which of the following would be the minimum number of adults needed to play the game?

• 3

• 6

• 12

• 31

Use the picture to answer the question.

Rosa measures 100 almonds using the ruler shown. Then she finds the mean length of the almonds. Which unit is the most appropriate place value for her to report the mean, given the accuracy of her measuring tool?

• centimeter

• tenth of a centimeter

• hundredth of a centimeter

• thousandth of a centimeter

Three similar sticks are laid end to end such that the total length is about 13 inches. Which of the following must be true?

• The length of each stick must be exactly 4.33333333 inches long.

• The length of each stick must be exactly 4.3 inches long.

• The length of each stick is approximately 4.3 inches long.

• The length of each stick is approximately 4 inches long.