Word problems that need two equations
Grade 8 Math Worksheet
Circle the best answer, or write your answer on the line.
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.
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.
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).
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).
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).
Esme has read 30 pages of a comic, with 12 more each day, and 72 pages of a novel, with 5 more a day. When are the totals equal? Give (days, pages).
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).
A team scored 40 points with 17 baskets, 2-pointers and 3-pointers. Kira says 11 two-pointers and 6 three-pointers. Does that fit the story?
- No: it fits neither fact.
- No: it fits only the points.
- No: it fits only the number of baskets.
- Yes: it fits both facts.
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 neither fact.
- No: it fits only the number of tables.
- No: it fits only the seats.
- Yes: it fits both facts.
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 neither fact.
- Yes: it fits both facts.
- No: it fits only the points.
- No: it fits only the number of questions.