Weekend Bike Repair: The Location Board

Use number lines and coordinates to organize a student-run repair business.

1. Repair Times

Nia and Luis run a weekend bike-repair business. On their timing lines, 0 is the promised pickup time. Negative numbers mean early; positive numbers mean late.

Each tick interval represents 0.5 hour. Nia finishes a repair at the third tick to the left of 0.

What signed number represents the finish time? hours

Luis finishes a repair 2 1/2 hours early. Which location represents this time?

A. Halfway between 2 and 3.B. Halfway between −2 and −1.C. Halfway between −3 and −2.D. Halfway between −4 and −3.

A brake adjustment finishes at the third tick to the right of −2 on this line.

Write the signed finish time as a fraction or decimal: hours

A customer requests pickup 3/4 hour after the promised time. Where should Luis place the pickup marker?

A. At the third tick to the right of 0.B. At the third tick to the left of 0.C. At the fourth tick to the right of 0.D. At the first tick to the right of 0.

Plot and label three repair finish times: A at −2 3/4 hours, B at 0.5 hour, and C at 1 3/4 hours. Each tick interval represents 1/4 hour.

2. Read the Workspace Map

Use the map for questions 6–10. The origin is the center of the work area. Each grid interval represents 1 foot. Right and up are positive.

Station labels: A = tire pump, B = tool rack, C = repair stand, D = parts bin, E = pickup desk.

Read the tire pump's location at A.

x-coordinate: ; y-coordinate:

Which ordered pair gives the repair stand's location at C?

A. (−2, 3)B. (3, 2)C. (−3, −2)D. (3, −2)

Nia asks a customer to go 5 feet left and 4 feet down from the origin. Which station is there?

A. The tire pump at A.B. The parts bin at D.C. The tool rack at B.D. The repair stand at C.

The pickup desk at E lies on an axis. Record both coordinates, including the zero.

x-coordinate: ; y-coordinate:

10.

Luis starts at the origin to locate the tool rack at B. Which directions follow its ordered pair?

A. Go 5 feet right, then 2 feet up.B. Go 2 feet left, then 5 feet up.C. Go 2 feet right, then 5 feet up.D. Go 2 feet right, then 5 feet down.

3. Plan Sunday's Layout

For the new layout, keep the origin at the center of the work area. Each grid interval represents 1 foot. Right and up are positive.

11.

The payment table will be 4 feet right and 3 feet down from the origin. Which ordered pair should Nia record?

A. (−4, 3)B. (4, −3)C. (−3, 4)D. (4, 3)

12.

A sign must lie on the x-axis, 5 feet left of the origin.

What are the sign's coordinates? x = , y =

13.

Plot and label the planned locations: repair stand R at (−3, 4), tool cart T at (4, 2), supply box S at (−2, −5), and waiting spot W at (0, −4). Do not connect the points.

14.

Luis wants to plot a wheel rack at (−5, 2). He moves 2 feet left and 5 feet up from the origin. Explain his mistake and describe how to plot the correct location.