8th grade Word problems that need two equations worksheet

Word problems that need two equations

Grade 8 Math Worksheet

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

1. 1.

   Milo's team scores 36 points with 15 baskets: x two-pointers and y three-pointers. What two equations fit? Write the baskets equation, a comma, then the points equation.
2. 2.

   Noah's hall has 11 tables, x with 4 seats and y with 8 seats, 60 seats in all. What two equations fit? Write the tables equation, a comma, then the seats equation.
3. 3.

   Pia counts x ducks and y horses at a farm: 15 animals and 44 legs. What two equations fit? Write the animals equation, a comma, then the legs equation.
4. 4.

   Ren's quiz has 16 questions worth 2 or 5 points, 47 points in all. How many of each kind are there? Give (2-point, 5-point).
5. 5.

   Zee counts 18 bikes and cars at the park, with 52 wheels in all (a bike has 2, a car has 4). How many of each? Give (bikes, cars).
6. 6.

   Ari's class picnic has 14 bottles of water, 1-liter and 2-liter ones, 23 liters in all. How many of each size? Give (1-liter, 2-liter).
7. 7.

   Bo's red kite is at 8 m and climbs 3 m a minute; the blue kite is at 26 m and climbs 1 m a minute. When are they level? Give (minutes, m).
8. 8.

   Snow on Jun's hill is 45 cm and melts 6 cm a day; in the yard it is 21 cm and melts 2 cm a day. When are the depths equal? Give (days, cm).
9. 9.

   A party has 12 tables with 4 or 6 seats, 58 seats in all. Luz guesses 8 four-seat and 4 six-seat tables. Does the guess fit the story?

   • No: it fits only the number of tables.
   • Yes: it fits both facts.
   • No: it fits only the seats.
   • No: it fits neither fact.
10. 10.

    A quiz has 20 questions worth 2 or 5 points, 61 points in all. Milo guesses 8 two-point and 9 five-point questions. Does the guess fit the story?

    • No: it fits only the number of questions.
    • Yes: it fits both facts.
    • No: it fits neither fact.
    • No: it fits only the points.