Line Plots with Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A line plot shows water in bottles (liters): 18→3 Xs, 14→5 Xs, 38→4 Xs, 12→2 Xs. What is the total water in all bottles?
A) 438 liters
B) 418 liters
C) 378 liters
D) 14 liters
3×18 + 5×14 + 4×38 + 2×12 = 38 + 108 + 128 + 88 = 338 = 418 liters.
2. A line plot shows miles walked: 14→2 Xs, 12→6 Xs, 34→4 Xs, 1→3 Xs. If the 2 students who walked 14 mile each walk an extra 14 mile, what is the new total miles walked by all students?
A) 1012 miles
B) 934 miles
C) 10 miles
D) 11 miles
Original total: 2×14+6×12+4×34+3×1=12+3+3+3=9.5. Extra: 2×14=12. New total: 9.5+0.5=10 miles.
3. A line plot shows worm lengths in inches: 14→4 Xs, 12→3 Xs, 34→5 Xs, 1→2 Xs. How much longer is the total of all 34-inch worms than the total of all 12-inch worms?
A) 214 inches
B) 114 inches
C) 2 inches
D) 212 inches
Total 34-inch worms: 5×34=154=334. Total 12-inch worms: 3×12=32=112. Difference: 154−64=94=214 inches.
4. A line plot shows flour used in cups: 18→2 Xs, 14→3 Xs, 38→5 Xs, 12→4 Xs. A baker needs 5 cups total. How much more flour is needed beyond the recipes?
A) 38 cup
B) 58 cup
C) 18 cup
D) 78 cup
Total from plot: 2×18+3×14+5×38+4×12=28+68+158+168=398=478. Needed more: 5−478=18 cup.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A line plot shows homework time in hours: 14→3 Xs, 12→7 Xs, 34→4 Xs, 1→2 Xs. Total homework time for all 16 students (write as a mixed number): 914 hours.
3×14+7×12+4×34+2×1=34+144+124+84=374=914 hours.
2. Using the homework data, the average time per student equals 3764 hour. (Write as a fraction.)
Average = total ÷ students = (374) ÷ 16 = 374 × 116 = 3764 hour.
3. A line plot shows fish weights in pounds: 14→4 Xs, 12→2 Xs, 34→6 Xs, 1→1 X. Total weight of fish weighing 12 pound or more (write as a mixed number): 612 pounds.
12 pound or more: 2×12 + 6×34 + 1×1 = 1 + 184 + 1 = 1+4.5+1 = 6.5 = 612 pounds.
4. Using the fish data, the difference between the total weight of the 34-pound fish and the total weight of the 14-pound fish is 312 pounds.
Total 34-pound fish: 6×34=184=4.5. Total 14-pound fish: 4×14=1. Difference: 4.5−1=3.5=312 pounds.
5. A line plot shows nail lengths in inches: 38→4 Xs, 12→2 Xs, 58→6 Xs, 34→3 Xs. Total length of all nails (write as a mixed number): 812 inches.
4×38+2×12+6×58+3×34 = 128+88+308+188 = 688 = 848 = 812 inches.