Line Plots with Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A gardener records seedling growth in inches: 18→3 Xs, 14→5 Xs, 38→4 Xs, 12→2 Xs. What is the total growth of all seedlings?
A) 378 inches
B) 418 inches
C) 358 inches
D) 4 inches
3×18+5×14+4×38+2×12=38+108+128+88=338=418 inches.
2. A chef measures leftover sauce in cups: 14→6 Xs, 12→4 Xs, 34→2 Xs. She combines all sauce (total = 5 cups) and uses 3 cups. How much sauce remains?
A) 2 cups
B) 1 cup
C) 112 cups
D) 12 cup
Total: 6×14+4×12+2×34=64+84+64=204=5 cups. Used 3 cups. Remaining: 5−3=2 cups.
3. Students tracked rainfall over 15 days: 0→3 Xs, 14→4 Xs, 12→5 Xs, 34→2 Xs, 1→1 X. What fraction of the 15 days had 12 inch or more of rain?
A) 815
B) 715
C) 515
D) 13
12 or more: 5(at 12) + 2(at 34) + 1(at 1) = 8 days out of 15. Fraction = 815.
4. A line plot shows ribbon per gift in yards: 14→3 Xs, 12→5 Xs, 34→4 Xs, 1→2 Xs. Total = 814 yards. Ribbon is sold in 5-yard rolls. How many complete rolls are needed?
A) 1 roll
B) 3 rolls
C) 2 rolls
D) 4 rolls
814 yards needed. Each roll = 5 yards. 1 roll = 5 yds (used for first 5 yds). Need 8.25 yds, so 1 roll not enough. 2 rolls = 10 yds, enough. Need 2 complete rolls.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A line plot shows test times in hours: 14→4 Xs, 12→8 Xs, 34→6 Xs, 1→2 Xs. Total time for all 20 students (write as a mixed number): 1112 hours.
4×14+8×12+6×34+2×1=1+4+184+2=1+4+4.5+2=11.5=1112 hours.
2. Using the test time data, the number of students who took less than 34 hour is 12.
Less than 34: 14(4) + 12(8) = 4 + 8 = 12 students.
3. A line plot shows bread weights in pounds: 38→3 Xs, 12→5 Xs, 58→4 Xs, 34→2 Xs. Total weight of 58-pound loaves (write as a mixed number): 212 pounds.
4 entries × 58 = 208 = 52 = 212 pounds.
4. Using the bread data, total weight of ALL loaves combined (write as a fraction): 618.
3×38+5×12+4×58+2×34=98+208+208+128=618.
5. A line plot shows how far students live from school in miles: 14→5 Xs, 12→3 Xs, 34→4 Xs, 1→2 Xs. If each student walks to school AND back home, total distance walked by ALL students is 1512 miles.
One-way totals: 5×14+3×12+4×34+2×1=54+64+124+84=314=734. Round trip (×2): 1512 miles.