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?
- Never: they are never equal.
- Always: they are equal at every time.
- Exactly once: they are equal at one time.
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?
- Always: they are equal at every time.
- Exactly once: they are equal at one time.
- Never: they are never equal.
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?
- Exactly once: they are equal at one time.
- Never: they are never equal.
- Always: they are equal at every time.
On Bo's graph-paper puzzle, line A goes through (0, 1) and (2, 5). Line B goes through (1, 6) and (3, 10). Do the lines meet?
- The lines never meet: they are parallel.
- The lines cross at exactly one point.
- The lines are the same line.
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 never meet: they are parallel.
- The lines are the same line.
- The lines cross at exactly one point.
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 are the same line.
- The lines cross at exactly one point.
- The lines never meet: they are parallel.
Luz's two kite strings are 70 m long together. The red string is 16 m longer than the blue one. How long is each? Give (red m, blue m).
Noah's bean plant is 4 cm and grows 3 cm a week; the pea plant is 10 cm and grows 2 cm a week. Write y for each after x weeks: bean, comma, pea.
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.