Word problems that need two equations
Grade 8 Math Worksheet
Circle the best answer, or write your answer on the line.
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.
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.
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).
Tala's camp has 13 sailboats out on the lake, small ones with 2 seats and big ones with 3, and all 32 seats are full. How many of each? Give (small, big).
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 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.