## Engage NY Eureka Math 2nd Grade Module 4 End of Module Assessment Answer Key

### Eureka Math Grade 2 Module 4 End of Module Assessment Answer Key

Question 1.
Solve mentally:
a. 72 + 10 = __82_____

72 + 10 = 82.

Explanation:
In the above-given question,
given that,
solve mentally.
72 + 10 = 82.
82 – 10 = 72.

b. ___63____ = 73 – 10

73 – 10 = 63.

Explanation:
In the above-given question,
given that,
solve mentally.
63 + 10 = 73.
73 – 10 = 63.

c. ___164____ + 10 = 174

164 + 10 = 174.

Explanation:
In the above-given question,
given that,
solve mentally.
164 + 10 = 174.
174 – 10 = 164.

d. 83 + 100 = _183______

83 + 100 = 183.

Explanation:
In the above-given question,
given that,
solve mentally.
83 + 100 = 183.
183 – 100 = 83.

e. __82_____ = 182 – 100

182 – 100 = 82.

Explanation:
In the above-given question,
given that,
solve mentally.
182 – 100 = 82.
82 + 100 = 182.

f. ___181____ – 100 = 81

181 – 100 = 81.

Explanation:
In the above-given question,
given that,
solve mentally.
181 – 100 = 81.
81 + 100 = 181.

g. 65 + 40 = ___105____

65 + 40 = 105.

Explanation:
In the above-given question,
given that,
solve mentally.
65 + 40 = 105.
105 – 40 = 65.

h. __126_____ = 166 – 40

166 – 40 = 126.

Explanation:
In the above-given question,
given that,
solve mentally.
126 = 166 – 40.
126 + 40 = 166.

i. 127 + ___40____ = 167

127 + 40 = 167.

Explanation:
In the above-given question,
given that,
solve mentally.
127 + 40 = 167.

j. 85 + 42 = ___127____

85 + 42 = 127.

Explanation:
In the above-given question,
given that,
solve mentally.
85 + 42 = 127.
127 – 42 = 85.

k. ___145____ = 186 – 41

186 – 41 = 145.

Explanation:
In the above-given question,
given that,
solve mentally.
186 – 41 = 145.
145 + 41 = 186.

l. 189 – 47 = ___142____

189 – 47 = 142.

Explanation:
In the above-given question,
given that,
solve mentally.
189 – 47 = 142.
142 + 47 = 189.

Question 2.
Solve:

 87 + 56 =143 Model: 80 + 7 = 87. 50 + 6 = 56. 87 + 56 = 143 38 + 68 + 71 + 12 = 189 Model: 38 + 68 + 71 + 12 = 189

87 + 56 = 143.
38 + 68 + 71 + 12 = 189.

Explanation:
In the above-given question,
given that,
solve mentally.
87 + 56 = 143.
143 – 56 = 87.
38 + 68 + 71 + 12 = 189.

 91 – 24 = 67 154 + 27 = 181 105 – 42 = 63 86 + 45 =131

91 – 24 = 67.
105 – 42 = 63.
154 + 27 = 181.
86 + 45 = 131.

Explanation:
In the above-given question,
given that,
solve mentally.
91 – 24 = 67.
105 – 42 = 63.
154 + 27 = 181.
86 + 45 = 131.

c. Susan and James solved 125 + 32 in different ways. Explain why both ways are correct.

125 + 32 = 157.

Explanation:
In the above-given question,
given that,
solve using two different strategies.
125 + 32.
125 + 10 = 135.
135 + 10 = 145.
145 + 10 = 155.
155 + 2 = 157.

Question 3.
Find the missing numbers to make each statement true. Show your mental math strategy.
a.

98 + 10 = 108.
108 + 1 = 109.

Explanation:
In the above-given question,
given that,
solve using mental meth strategy.
98 + 10 = 108.
108 + 1 = 109.

b. 6 tens + 4 ones = 70 – ___6____

64 = 64.

Explanation:
In the above-given question,
given that,
solve using two different strategies
6 tens + 4 ones = 64.
70 – 6 = 64.

c. 25 + 75 = ___70_____ + 30

25 + 75 = 100.
70 + 30 = 100.

Explanation:
In the above-given question,
given that,
solve using two different strategies.
25 + 75 = 100.
70 + 30 = 100.

d. 39 + _____43______ = 82

39 + 43 = 82.

Explanation:
In the above-given question,
given that,
solve using two different strategies
30 + 9 = 39.
40 + 3 = 43.
39 + 43 = 82.

e. 100 – ____8_____ = 45 + 15 + 32

100 – 8 = 92.
45 + 15 + 32 = 92.

Explanation:
In the above-given question,
given that,
solve using two different strategies
100 – 8 = 92.
45 + 15 + 32 = 92.

Question 4.
Sally went shopping. She spent $86 on groceries and$39 on clothing.
a. How much more did Sally spend on groceries than on clothing? Show your work.

The amount did Sally spend on groceries than on clothing = $47. Explanation: In the above-given question, given that, Sally went shopping. She spent$86 on groceries and $39 on clothing. 86 – 39 = 47. so the amount did Sally spend on groceries than on clothing =$47.

b. After Sally’s shopping trip, she had $12 left. How much money did she have to begin with? Show your work. Answer: The money did she have to begin with =$137.

Explanation:
In the above-given question,
given that,
After Sally’s shopping trip, she had $12 left. 86 + 39 = 125. 125 + 12 = 137. so the money did she have to begin with = 137. c. If Sally hadn’t purchased the clothing, would she have been able to afford a$55 necklace?
No, she did not have been able to afford a $55 necklace. Explanation: In the above-given question, given that, If Sally hadn’t purchased the clothing. clothing =$47.
necklace = $55. so she did not have been able to afford a$55 necklace.
The money would Sally need to buy the groceries = $180. Explanation: In the above-given question, given that, After Sally’s shopping trip, she had$12 left.