Word problems that need two equations
Grade 8 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Noah has two sunflower seedlings, 5 cm and 9 cm tall. Both grow 2 cm a week. Will they ever be the same height?
- Exactly once: they are equal at one time.
- Never: they are never equal.
- Always: they are equal at every time.
Two snowbanks by Pia's school are 40 cm and 28 cm deep. Both melt 3 cm a day in the spring sun. Will they ever be the same depth?
- Exactly once: they are equal at one time.
- Always: they are equal at every time.
- Never: they are never equal.
Ren's first plant started at 6 cm and grows 2 cm a week. The second plant also grows 2 cm a week and was 10 cm at week 2. Will they ever be equal?
- Never: they are never equal.
- Always: they are equal at every time.
- Exactly once: they are equal at one time.
Tala tracks two copies of one reading plan: one starts at page 20 with 15 pages a day; the other reaches page 50 after 2 days at 15 a day. Will they match?
- Always: they are equal at every time.
- Never: they are never equal.
- Exactly once: they are equal at one time.
Zee's bean plant and pea plant are both 12 cm today. The bean grows 3 cm a week and the pea 1 cm a week. How often are they the same height?
- Never: they are never equal.
- Always: they are equal at every time.
- Exactly once: they are equal at one time.
On Esme's graph-paper puzzle, line A goes through (0, 3) and (2, 7). Line B goes through (1, 5) and (4, 11). Do the lines meet?
- The lines are the same line.
- The lines cross at exactly one point.
- The lines never meet: they are parallel.
On Jun's graph-paper puzzle, line A goes through (0, 2) and (3, 8). Line B goes through (0, 2) and (2, 8). Do the lines meet?
- The lines never meet: they are parallel.
- The lines cross at exactly one point.
- The lines are the same line.
Kira's sunflower and bean plant are 150 cm tall together, and the sunflower is 90 cm taller. How tall is each? Give (sunflower cm, bean cm).
Two snowdrifts by Milo's door are 84 cm deep together, and one is 20 cm deeper than the other. How deep is each? Give (deep cm, small cm).
Pia sees a sunny snowbank of 36 cm melting 4 cm a day, and a shady one of 20 cm melting 2 cm a day. Write y for each after x days: sunny, comma, shady.