8th grade Word problems that need two equations worksheet

Word problems that need two equations

Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   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.
2. 2.

   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.
3. 3.

   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?

   • Never: they are never equal.
   • Exactly once: they are equal at one time.
   • Always: they are equal at every time.
4. 4.

   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?

   • Always: they are equal at every time.
   • Exactly once: they are equal at one time.
   • Never: they are never equal.
5. 5.

   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 cross at exactly one point.
   • The lines never meet: they are parallel.
   • The lines are the same line.
6. 6.

   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.
7. 7.

   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).
8. 8.

   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).
9. 9.

   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.
10. 10.

    Ren reels in two kites: red at 30 m, down 2 m a minute; blue at 33 m, down 3 m a minute. Write y for each after x minutes: red, comma, blue.