Line Plots with Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. A line plot shows paint used in cups: 14→3 Xs, 12→5 Xs, 34→2 Xs. Total paint for the 14-cup entries: 34 cups.
3 entries × 14 cup = 34 cup total.
2. Using the paint data, total paint for the 12-cup entries: 52 cups.
5 entries × 12 cup = 52 cups = 212 cups.
3. Using the paint data, total paint for ALL entries combined (write as a mixed number): 434 cups.
3×14 + 5×12 + 2×34 = 34 + 104 + 64 = 194 = 434 cups.
4. A line plot shows hours practiced: 18→2 Xs, 14→4 Xs, 38→3 Xs, 12→1 X. Total hours for the 14-hour entries: 1 hour(s).
4 entries × 14 hour = 44 = 1 hour.
5. Using the practice data, combined total hours for the 38 entries and the 12 entry (write as a fraction): 138.
3×38 = 98. 1×12 = 48. Total = 98 + 48 = 138.
6. A line plot shows package weights in pounds: 14→2 Xs, 12→6 Xs, 34→4 Xs, 1→3 Xs. Difference between total weight of 1-pound packages and 14-pound packages: 52 pounds.
1-pound packages: 3×1=3. 14-pound packages: 2×14=12. Difference: 3−12=52 pounds.
7. Using the package data, total weight of all packages (write as a mixed number): 912 pounds.
2×14 + 6×12 + 4×34 + 3×1 = 12 + 3 + 3 + 3 = 912 pounds.
8. A line plot shows distances run in miles: 14→3 Xs, 34→5 Xs, 1→2 Xs. Total distance run by students who ran 34 mile (mixed number): 334 miles.
5 entries × 34 = 154 = 334 miles.
9. Using the running data, if the 3 students who ran 14 mile each ran an extra 12 mile, their new total distance is 214 miles.
Original: 3×14=34. Extra: 3×12=32=64. New total: 34+64=94=214 miles.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Line plot: 14→4 Xs, 12→2 Xs, 34→6 Xs. Total of all data values?
→ 612
312
Line plot: 18→2 Xs, 38→6 Xs, 58→2 Xs. Total of all data values?
→ 334
334
Line plot: 12→3 Xs, 1→5 Xs, 32→2 Xs. Difference between total of 1-unit values and total of 12-unit values?
→ 312
612
Line plot: 14→4 Xs, 34→4 Xs. Total of all data values?
→ 4
4
1st: 4×14+2×12+6×34=1+1+4.5=6.5=6½; 2nd: 28+188+108=308=3¾; 3rd: 5−1.5=3.5=3½; 4th: 4×14+4×34=1+3=4.