Solve Two-Step Word Problems - 2nd Grade Math

1. Ben has $33$ baseball cards. He trades away $17$ cards to get $24$ new cards from his friend. How many baseball cards does Ben have now?
   Answer: $40$ baseball cards Ben starts with 33 cards, trades away 17: 33 - 17 = 16 cards. Then gets 24 new cards: 16 + 24 = 40 cards. Choice A adds all numbers (33 + 17 + 24). Choice B stops after trading away cards. Choice D treats traded cards as gained (33 + 17 + 24 - 17).
2. Amir had 37 baseball cards. First, he got 19 more cards. Then he got 14 more cards from his uncle. How many baseball cards does Amir have in all?
   Answer: 70 Amir has 70 cards in all, because $37 + 19 + 14 = 70$. Choice A (84) comes from adding one of the amounts twice. Choice C (18) comes from subtracting instead of adding. Choice D (56) stops after adding only the first two amounts and forgets the 14 more cards.
3. Amir had 50 cents. First, he spent 23 cents on a snack. Then he earned 16 cents for helping at home. How much money does Amir have now?
   Answer: 43¢ The correct answer is 43, because 50 - 23 = 27, and 27 + 16 = 43. Choice B (11) subtracts too much from the total. Choice C (89) adds all three numbers instead of subtracting the cents Amir spent. Choice D (27) stops after the first step and forgets to add the cents Amir earned.
4. Jamal had 64 marbles. First, he lost 18 marbles on the playground. Then he found 9 marbles later. How many marbles does Jamal have now?
   Answer: 55 Jamal has 55 marbles now: $64 - 18 = 46$, then $46 + 9 = 55$. Choice A (46) stops after subtracting and forgets to add the marbles he found. Choice B (37) comes from subtracting the found marbles instead of adding them ($46 - 9$). Choice D (73) comes from adding all three numbers instead of subtracting the marbles he lost.
5. Maya had 28 crayons. First, she got 17 more crayons from her teacher. Then she gave 9 crayons to her brother. How many crayons does Maya have now?
   Answer: 36 This question tests 2nd grade understanding of solving two-step word problems involving addition and subtraction within 100 (CCSS 2.OA.A.1: Use addition and subtraction within 100 to solve one- and two-step word problems). A two-step word problem requires two separate calculations to find the answer; the first operation gives an intermediate result, which is then used in the second operation to find the final answer; for example, 'Emma had 25 stickers, got 18 more, then gave 12 away. How many now?' Step 1: 25 + 18 = 43 (how many after getting more); Step 2: 43 - 12 = 31 (final amount after giving away); the second calculation uses the first result (43); keywords help: 'got more, found, earned' = add; 'gave away, lost, spent' = subtract; 'in all, altogether' = add all; 'left, remain' = subtract; sequential words show steps: 'first...then', 'on Monday...on Tuesday'. In this problem, Maya starts with 28 crayons, gets 17 more, then gives 9 away; to solve, Step 1: add for getting more (28 + 17 = 45), Step 2: subtract for giving away using Step 1 result (45 - 9 = 36), so the answer is 36. Choice A is correct because both steps are completed accurately—first adding 28 + 17 = 45, then subtracting 9 from that result to get 45 - 9 = 36, correctly performing the operations in sequence using the intermediate result. Choice B represents stopping after Step 1 (28 + 17 = 45, but not subtracting 9), an error that happens when students forget there are two actions and don't continue to the second calculation. To help students, teach two-step problem structure explicitly: 'This problem has two parts; first we'll solve one part, then use that answer for the next part'; model with underlining action words (got, gave away), circle the question; use a graphic organizer with boxes for 'Start', 'Step 1 operation', 'Intermediate result', 'Step 2 operation', 'Final answer'. Practice with acted-out scenarios: 'I have 28 items [show], get 17 more [add them], now how many? [count—45]; give away 9 [remove them], how many left? [count—36]'; teach keywords and use bar models to visualize changes; check work by asking if the answer makes sense compared to the starting amount.
6. Marcus had 90 points in a game. First, he lost 35 points. Then he lost 18 more points. How many points does Marcus have left?
   Answer: 37 This question tests 2nd grade understanding of solving two-step word problems involving addition and subtraction within 100 (CCSS 2.OA.A.1: Use addition and subtraction within 100 to solve one- and two-step word problems). A two-step word problem requires two separate calculations to find the answer. The first operation gives an intermediate result, which is then used in the second operation to find the final answer. Example: 'Emma had 25 stickers, got 18 more, then gave 12 away. How many now?' Step 1: 25 + 18 = 43 (how many after getting more). Step 2: 43 - 12 = 31 (final amount after giving away). The second calculation uses the first result (43). Keywords help: 'got more, found, earned' = add; 'gave away, lost, spent' = subtract; 'in all, altogether' = add all; 'left, remain' = subtract. Sequential words show steps: 'first...then', 'on Monday...on Tuesday'. In this problem, Marcus starts with 90 points, loses 35, then loses 18 more. To solve, Step 1 - perform first operation based on context: 'lost 35' means subtract (90-35=55), Step 2 - perform second operation using Step 1 result: 'lost 18 more' means subtract from 55 (55-18=37), answer is 37. Choice B is correct because both steps completed correctly—first subtracting 90-35=55, then subtracting 18 from that result to get 55-18=37. This correctly identifies and performs both operations in sequence, using the first result in the second calculation. Choice A represents stopping after Step 1 (gave 55 which is 90-35, but didn't continue to subtract 18). This error typically happens when students stop too early, misread operation keywords, ignore context, add all numbers habitually, make calculation mistakes, don't track intermediate result. To help students: Teach two-step problem structure explicitly: 'This problem has two parts. First we'll solve one part, then use that answer for the next part.' Model with underlining: underline action words (lost, lost more), circle questions. Teach strategy: (1) Read entire problem. (2) Identify first action—what operation? (3) Solve Step 1, write answer. (4) Identify second action—what operation? Use Step 1 answer. (5) Solve Step 2, that's final answer. Use graphic organizer: boxes for 'Start', 'Step 1 operation', 'Intermediate result', 'Step 2 operation', 'Final answer'. Practice with acted-out scenarios: 'I have 90 points [show], lose 35 [subtract], now how many? [55]. Lose 18 more [subtract], how many left? [37].' Teach keywords: 'got more, found' = add; 'gave away, lost' = subtract; sequence words 'first...then' or 'on Monday...on Tuesday'. Practice identifying operations before calculating: 'What do we do first? Why? What do we do second?' Use bar models or tape diagrams to visualize: first bar shows start-decrease, second bar shows result-decrease. Distinguish from one-step: 'Is there one action or two? How many calculations do we need?' Check work: 'Does the answer make sense? Is it bigger or smaller than we started? Why?' Watch for: stopping after one step, wrong operations, adding all numbers, arithmetic errors, reversed step order, not using first result in second step.
7. Jake has $37$ toy cars. He gives $11$ cars to his cousin. How many cars does Jake have left?
   Answer: $26$ cars remaining Jake starts with 37 cars and gives away 11, so $37-11=26$ cars remain. Choice A adds instead of subtracting. Choice B forgets to subtract at all. Choice C reflects a subtraction error.
8. Emma collected $38$ shells at the beach. She gave $13$ shells to her sister. Later, she found $19$ more shells. How many shells does Emma have altogether?
   Answer: $44$ shells altogether Emma starts with 38 shells, gives away 13: 38 - 13 = 25 shells. Then finds 19 more: 25 + 19 = 44 shells. Choice B adds all numbers (38 + 13 + 19). Choice C stops after giving shells to sister. Choice D treats the given shells as added (38 + 13 + 19 - 13).
9. A library had 92 books on a shelf. First, 28 books were checked out. Then 17 more books were checked out. How many books are left on the shelf?
   Answer: 47 92 minus 28 equals 64, and 64 minus 17 equals 47, so 47 books are left. 64 only accounts for the first round of checkouts, stopping too early. 137 would result from adding the checkouts instead of subtracting them. 81 would result from subtracting only one of the two checkout amounts.
10. Sofia saves $26$ pennies in her piggy bank. She spends $14$ pennies on candy. The next day, she saves $22$ more pennies. How many pennies does Sofia have in total?
    Answer: $34$ pennies in total Sofia starts with 26 pennies, spends 14, and then saves 22 more, so 26 minus 14 plus 22 equals 34, matching B. A is incorrect because it adds all three numbers together instead of subtracting the pennies she spent. C is incorrect because it stops after subtracting the pennies spent and forgets to add the 22 pennies saved the next day. D is incorrect because it adds 26 and 22 while skipping the subtraction of the 14 pennies spent entirely.
11. A zoo has $41$ animals. They receive $19$ new animals from another zoo. Later, $25$ animals are moved to a different exhibit. How many animals remain in the original area?
    Answer: $35$ animals Starting with $41$ animals, adding the $19$ new arrivals gives $60$, and then subtracting the $25$ animals moved away leaves $35$, so D is correct. Choice A comes from adding all three numbers instead of subtracting the animals that moved away. Choice B comes from subtracting $25$ directly from $41$ without ever adding the $19$ new animals. Choice C stops after the addition step and forgets to subtract the animals moved to a different exhibit.
12. A library had 64 books on a shelf. Students checked out 29 books on Monday. On Tuesday, the librarian added 18 new books to the shelf. How many books are on the shelf now?
    Answer: 53 books on shelf The correct answer is 53 books on shelf, because 64 - 29 = 35, and 35 + 18 = 53. Choice A (35 books on shelf) stops after the first step and forgets to add the new books. Choice C (111 books on shelf) adds all three numbers instead of subtracting the books checked out. Choice D (47 books on shelf) comes from a subtraction mistake in the first step.
13. Emma has 26 stickers. First, Carlos has 15 more stickers than Emma. Then Keisha has 7 fewer stickers than Carlos. How many stickers does Keisha have?
    Answer: 34 Carlos has 26 plus 15, which is 41 stickers, and Keisha has 7 fewer than Carlos, so 41 minus 7 equals 34. 41 is Carlos's amount, not Keisha's. 48 would result from adding both amounts instead of subtracting the second one. 19 would result from subtracting instead of adding in the first step.
14. A classroom had 36 pencils. First, the teacher put 24 more pencils in the bin. Then 13 pencils were taken for a project. How many pencils are in the bin now?
    Answer: 47 36 plus 24 equals 60, and 60 minus 13 equals 47, so there are 47 pencils in the bin now. 23 would result from subtracting instead of adding in the first step. 60 only accounts for the pencils added, stopping before the second step. 73 would result from adding both numbers instead of subtracting the second one.
15. Chen read 14 pages on Monday. He then read 19 pages on Tuesday. Then he read 15 pages on Wednesday. How many pages did Chen read in all?
    Answer: 48 Chen read 14 + 19 + 15 pages in all, which adds up to 48 pages. Getting 33 would mean leaving out one of the three days. Getting 29 would mean adding only two of the smaller numbers. Getting 18 doesn't match adding all three days' totals together.
16. Yuki had 37 trading cards. First, she got 24 more cards. Then she gave 18 cards to her cousin. How many cards does Yuki have now?
    Answer: 43 The correct answer is 43, because 37 + 24 = 61, and 61 - 18 = 43. Choice A (19) subtracts too much from the total. Choice B (61) stops after the first step and forgets to subtract the cards Yuki gave away. Choice D (79) adds all three numbers instead of subtracting the cards given away.
17. A library shelf had 92 books. First, 25 books were checked out. Then 18 more books were checked out. How many books are left on the shelf?
    Answer: 49 This question tests 2nd grade understanding of solving two-step word problems involving addition and subtraction within 100 (CCSS 2.OA.A.1: Use addition and subtraction within 100 to solve one- and two-step word problems). A two-step word problem requires two separate calculations to find the answer; the first operation gives an intermediate result, which is then used in the second operation to find the final answer; for example, 'Emma had 25 stickers, got 18 more, then gave 12 away. How many now?' Step 1: 25 + 18 = 43 (how many after getting more); Step 2: 43 - 12 = 31 (final amount after giving away); the second calculation uses the first result (43); keywords help: 'got more, found, earned' = add; 'gave away, lost, spent' = subtract; 'in all, altogether' = add all; 'left, remain' = subtract; sequential words show steps: 'first...then', 'on Monday...on Tuesday'. In this problem, the shelf starts with 92 books, 25 are checked out, then 18 more are checked out; to solve, Step 1: subtract first checkout (92 - 25 = 67), Step 2: subtract second checkout using Step 1 result (67 - 18 = 49), so 49 are left. Choice B is correct because both steps are completed accurately—first subtracting 92 - 25 = 67, then subtracting 18 from that result to get 67 - 18 = 49, correctly performing subtractions in sequence. Choice A represents stopping after Step 1 (92 - 25 = 67, but not subtracting 18), an error that occurs when students miss the second action and don't continue. To help students, teach two-step problem structure explicitly: 'This problem has two parts; first we'll solve one part, then use that answer for the next part'; model with underlining action words (checked out, more), circle the question; use a graphic organizer with boxes for 'Start', 'Step 1 operation', 'Intermediate result', 'Step 2 operation', 'Final answer'. Practice with acted-out scenarios: 'Start with 92 items [show], remove 25 [subtract], now how many? [67]; remove 18 more [subtract], how many left? [49]'; teach keywords and use bar models to visualize decreases; check work by asking if the answer is smaller than starting.
18. A library had 82 books on a shelf. First, 27 books were checked out. Then 14 more books were checked out. How many books are left on the shelf?
    Answer: 41 This question tests 2nd grade understanding of solving two-step word problems involving addition and subtraction within 100 (CCSS 2.OA.A.1: Use addition and subtraction within 100 to solve one- and two-step word problems). A two-step word problem requires two separate calculations to find the answer. The first operation gives an intermediate result, which is then used in the second operation to find the final answer. Example: 'Emma had 25 stickers, got 18 more, then gave 12 away. How many now?' Step 1: 25 + 18 = 43 (how many after getting more). Step 2: 43 - 12 = 31 (final amount after giving away). The second calculation uses the first result (43). Keywords help: 'got more, found, earned' = add; 'gave away, lost, spent' = subtract; 'in all, altogether' = add all; 'left, remain' = subtract. Sequential words show steps: 'first...then', 'on Monday...on Tuesday'. In this problem, library starts with 82 books, 27 checked out, then 14 more checked out. To solve, Step 1 - perform first operation based on context: '27 checked out' means subtract (82-27=55), Step 2 - perform second operation using Step 1 result: '14 more checked out' means subtract from 55 (55-14=41), answer is 41. Choice A is correct because both steps completed correctly—first subtracting 82-27=55, then subtracting 14 from that result to get 55-14=41. This correctly identifies and performs both operations in sequence, using the first result in the second calculation. Choice B represents stopping after Step 1 (gave 55 which is 82-27, but didn't continue to subtract 14). This error typically happens when students stop too early, misread operation keywords, ignore context, add all numbers habitually, make calculation mistakes, don't track intermediate result. To help students: Teach two-step problem structure explicitly: 'This problem has two parts. First we'll solve one part, then use that answer for the next part.' Model with underlining: underline action words (checked out, more checked out), circle questions. Teach strategy: (1) Read entire problem. (2) Identify first action—what operation? (3) Solve Step 1, write answer. (4) Identify second action—what operation? Use Step 1 answer. (5) Solve Step 2, that's final answer. Use graphic organizer: boxes for 'Start', 'Step 1 operation', 'Intermediate result', 'Step 2 operation', 'Final answer'. Practice with acted-out scenarios: 'I have 82 items [show], 27 checked out [remove], now how many? [count—55]. 14 more out [remove], how many left? [count—41].' Teach keywords: 'got more, found' = add; 'gave away, lost' = subtract; sequence words 'first...then' or 'on Monday...on Tuesday'. Practice identifying operations before calculating: 'What do we do first? Why? What do we do second?' Use bar models or tape diagrams to visualize: first bar shows start-decrease, second bar shows result-decrease. Distinguish from one-step: 'Is there one action or two? How many calculations do we need?' Check work: 'Does the answer make sense? Is it bigger or smaller than we started? Why?' Watch for: stopping after one step, wrong operations, adding all numbers, arithmetic errors, reversed step order, not using first result in second step.
19. Maya has $17$ stickers. She gives $8$ stickers to her brother and then buys $15$ more stickers at the store. How many stickers does Maya have now?
    Answer: $24$ stickers Maya has 24 stickers, because $17 - 8 + 15 = 24$. Choice A (32) comes from adding 17 and 15 while ignoring the stickers she gave away. Choice C (40) comes from adding all three numbers instead of subtracting the 8 she gave away. Choice D (9) stops after subtracting the 8 stickers and forgets to add the 15 she bought.
20. Carlos has $23$ marbles. He loses $9$ marbles during recess. After lunch, his friend gives him $16$ marbles. How many marbles does Carlos have at the end of the day?
    Answer: $30$ marbles total Carlos starts with 23 marbles, loses 9: 23 - 9 = 14 marbles. Then gains 16 marbles: 14 + 16 = 30 marbles. Choice A adds all three numbers. Choice B stops after the first operation. Choice D adds the two operations (9 + 16) to the starting amount incorrectly.

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