Equations
Jenny has 15 eggs. She uses 7 eggs to make breakfast for her family. Which addition fact can help you find how many eggs Jenny has left?
A 7 + 7 = 14 C 9 + 6 = 15
B 7 + 8 = 15 D 7 + 9 = 16
B 7 + 8 = 15
Kevin has 15 coins. Look at each equation. Choose all the equations that Kevin can use to make an array with his coins.
10 + 5 = 15 5 + 5 + 5 = 15 3 + 3 + 3 + 3 + 3 = 15
6 + 9 = 15 9 + 2 + 4 = 15
5 + 5 + 5 = 15 3 + 3 + 3 + 3 + 3 = 15
One street has 34 houses. Another street has 28 houses. A third street has 16 houses. How many houses are there in all? Use any strategy. Show your work and explain.
78 houses; Sample answer: First I added the
tens: 30 + 20 + 10 = 60. Then I added the
ones: 4 + 8 + 6 = 18. Then I added the partial
sums: 60 + 18 = 78.
Find 63 – 48 using compensation.
63 – 48 = ____
+ ___ + ___
_____ – ______ = _____
63 – 48 = 15
+2 + 2
65 – 50 = 15
Tim needs 87 beads for a school project. He buys 34 beads at the store. His sister
gives him 29 beads. How many more beads does Tim need?
Write equations to solve. Then write the answer.
34+29=63
87-63=24
Tim needs 24 more beads.
The clock shows the time Cecilia leaves the library (4:45pm). What time does the clock
show? Choose all that apply.
____ quarter to 4 ____ 45 minutes past 4 ____ 30 minutes past 4
____ quarter to 5 ____ 15 minutes to 5
45 minutes past 4
quarter to 5
15 minutes to 5
Megan has 28 fewer stickers than Frank. Frank has 97 stickers. How many stickers does Megan have?
Solve any way you choose. Show your work.
69 stickers
Circle the problem that you
would use regrouping of
place-value blocks to solve.
Then draw blocks to show
how you know.
85 – 34 64 – 25
64 - 25
Find the missing number that makes each equation true.
29 + ____ = 11 + 6 + 16
47 – 5 = 10 + 20 + ____
4
12
Isaac has 29 pennies. His brother gives him 46 more pennies. Isaac gave 16 pennies to a friend. Which equations should be used to find how many pennies Isaac has now? Did you have to regroup to solve the problem? Explain.
29 + 46 = 75 and 75 − 16 = 59; Regrouping was needed to solve 29 + 46 and 75 − 16.
There are 42 students in the yard. 17 students leave. How many students are left?
A. Marti adds 3 to 17 to make an easier problem, 42 – 20.
She says 22 students are left. Circle whether you agree or do not agree.
Agree Do Not Agree
B. Explain why you agree or do not agree with Marti’s strategy.
Do not agree
Sample answer: Marti added 3 to 17. She also needed to add 3 to 22 to get the correct answer,
25 students.
Break apart the second addend to find 91 – 53. Show your work.
91 – 53 = ____
91− 53 (50 and 3) 3- (1 and 2)
91 − 50 = 41
41 − 1 = 40
40 − 2 = 38
91 - 53= 38
Martin drew this bar diagram. He wants to show that 2 equal parts can make 16.
16
? ?
Part A: Draw a picture to show what each “?” stands for.
Part B: Change 16 to 18 in the bar diagram. What does each “?” stand for now? Tell how you know.
Part A:
16
00000000 + 00000000
Part B: 9, because 9 + 9 = 18.
A. Raj has these coins. How much money does Raj have? Count on to find the total.
1 quarter, 2 nickels, 1 dime, 1 penny
He has _____ cents
B. If he spends a quarter and a nickel, much money does he have now?
He will have ____ cents
46 cents
16 cents
A. There are 49 green grapes and 12 red grapes in a bowl. Marco eats 24 of the grapes. How many grapes are left in the bowl?
A 25 B 27 C 37 D 43
B. Marco gives 10 grapes to his friend. Which equation shows how many grapes are in the bowl now?
A 12 – 10 = 2 B 37 – 12 = 25 C 37 – 10 = 27 D 49 + 12 = 61
C
C
Write the equation that the number line shows. Then, explain what the jumps are showing.
-6 -10 -10 -10
29-------35-------45-------55--------65
65 − 36 = 29
Counting back 3 tens
and 6 ones from 65
Write an equation to solve each part of the two-step problem.
There are 34 people on a bus. At city hall, 15 people get off the bus. Then 6 more people get on the
bus. How many people are on the bus now?
Now there are ____ people on the bus.
34 - 15 = 19
19 + 6 = 25
Now there are 25 people on the bus.
A. Callie has 7 coins. The total value is 88¢. She has
2 quarters, 1 dime, and 3 pennies. Which is her seventh coin?
A Quarter B Dime C Nickel D Penny
B. Callie wants to buy a piece of candy with the 7 coins she has. The piece of candy costs 35 cents. What coins does she need to give the cashier?
A 2 quarters and 1 dime B 2 quarters C 1 quarter and 1 dime D 2 quarters and 3 pennies
A Quarter
C 1 quarter and 1 dime
Simone has 16 more baseball cards than Cole. Simone has 43 baseball cards.
A. Which equations can you use to find how many baseball cards Cole has?
Choose all that apply.
43 + 16 = ? 16 + ? = 43 43 – 16 = ? 16 + 16 = ? ? + 16 = 43
B. How many baseball cards does Cole have?
Cole has _____ baseball cards.
16 + ? = 43 43 – 16 = ? ? + 16 = 43
Cole has 27 baseball cards.
Use the numbers on the cards. Write the missing numbers under the number line to show how to find
61 + 34.
91 95 71 81
+10 +10 +10 +4
61---------------____---------------____----------------____-------------____
+10 +10 +10 +4
61---------------_71___---------------__81__----------------__91__-------------__95__