Mid module 4 grade 6

Question 1

Omaya picked x amount of apples, took a break, and then picked v more. Write the expression that models the total number of apples Omaya picked.

Answer 1

x+v

Question 2

A number h is tripled and then decreased by 8

Answer 2

3h-8

Question 3

Sidney brought s carrots to school and combined them with Jenan’s j carrots. She then split them equally among 8 friends.

Answer 3

(s+j)/8 or (s+j)÷8

Question 4

15 less than the quotient of e and d

Answer 4

e/d-15 or e÷d-15

Question 5

Marissa’s hair was 10 inches long, and then she cut h inches.

Answer 5

10-h

Question 6

𝟔𝟓 + ____ − 𝟏𝟓 = 65

Answer 6

15

Question 7

____ + 𝒈 − 𝒈 = k

Answer 7

k

Question 8

𝟏𝟐 ÷ 𝟑 × ____ = 𝟏2

Answer 8

3

Question 9

𝒇 × 𝒉 ÷ 𝒉 = _____

Answer 9

f

Question 10

_____ ÷ 𝒓 × 𝒓 = p

Answer 10

p

Question 11

Write an equivalent expression to show the relationship of multiplication and addition.

𝟖 + 𝟖 + 𝟖 + 𝟖 + 𝟖 + 𝟖 + 𝟖 + 𝟖 + 8

Answer 11

9(8)

Question 12

Write an equivalent expression to show the relationship of multiplication and addition.

𝟒 × 9

Answer 12

𝟗 + 𝟗 + 𝟗 + 9

Question 13

Write an equivalent expression to show the relationship of multiplication and addition.

𝟕h

Answer 13

𝒉 + 𝒉 + 𝒉 + 𝒉 + 𝒉 + 𝒉 + h

Question 14

Write an equivalent expression to show the relationship of multiplication and addition.

𝒋 + 𝒋 + 𝒋 + 𝒋 + j

Answer 14

5j

Question 15

Write an equivalent expression to show the relationship of multiplication and addition.

𝒖 + 𝒖 + 𝒖 + 𝒖 + 𝒖 + 𝒖 + 𝒖 + 𝒖 + 𝒖 + 𝒖

Answer 15

10u

Question 16

Represent 𝟓𝟔 ÷ 𝟖 = 𝟕 using subtraction. Explain your reasoning.

Answer 16

𝟓𝟔 − 𝟕 − 𝟕 − 𝟕 − 𝟕 − 𝟕 − 𝟕 − 𝟕 − 𝟕 = 𝟎 because
𝟓𝟔 − 𝟕 = 𝟒𝟗; 𝟒𝟗 − 𝟕 = 𝟒𝟐; 𝟒𝟐 − 𝟕 = 𝟑𝟓; 𝟑𝟓 − 𝟕 = 𝟐𝟖; 𝟐𝟖 − 𝟕 = 𝟐𝟏; 𝟐𝟏 − 𝟕 = 𝟏𝟒; 𝟏𝟒 − 𝟕 = 𝟕; 𝟕 − 𝟕 = 𝟎.
OR
𝟓𝟔 − 𝟖 − 𝟖 − 𝟖 − 𝟖 − 𝟖 − 𝟖 − 𝟖 = 𝟎 because
𝟓𝟔 − 𝟖 = 𝟒𝟖; 𝟒𝟖 − 𝟖 = 𝟒𝟎; 𝟒𝟎 − 𝟖 = 𝟑𝟐; 𝟑𝟐 − 𝟖 = 𝟐𝟒; 𝟐𝟒 − 𝟖 = 𝟏𝟔; 𝟏𝟔 − 𝟖 = 𝟖; 𝟖 − 𝟖 = 𝟎.

Question 17

What is the difference between 𝟔𝒛 and z⁶

Answer 17

𝟔𝒛 = 𝒛 + 𝒛 + 𝒛 + 𝒛 + 𝒛 + 𝒛 or 𝟔 times 𝒛;
𝒛⁶ = 𝒛 × 𝒛 × 𝒛 × 𝒛 × 𝒛 × z

Question 18

Write 𝟏𝟎³ as a multiplication expression having repeated factors.

Answer 18

10x10x10

Question 19

Write 𝟖 × 𝟖 × 𝟖 × 𝟖 using an exponent.

Answer 19

𝟖⁴

Question 20

Evaluate: 𝟑𝟗 ÷ (𝟐 + 𝟏) − 𝟐 × (𝟒 + 𝟏)

Answer 20

𝟑𝟗 ÷ 𝟑 − 𝟐 × 𝟓
𝟏𝟑 − 𝟏𝟎
𝟑

Question 21

Evaluate: 𝟏𝟐 × (𝟑 + 𝟐²) ÷ 𝟐 − 𝟏0

Answer 21

𝟏𝟐 × (𝟑 + 𝟒) ÷ 𝟐 − 𝟏𝟎
𝟏𝟐 × 𝟕 ÷ 𝟐 − 𝟏𝟎
𝟖𝟒 ÷ 𝟐 − 𝟏𝟎
𝟒𝟐 − 𝟏𝟎
𝟑𝟐

Question 22

Evaluate: 𝟏𝟐 × (𝟑 + 𝟐)² ÷ 𝟐 − 𝟏𝟎

Answer 22

𝟏𝟐 × 𝟓² ÷ 𝟐 − 𝟏𝟎
𝟏𝟐 × 𝟐𝟓 ÷ 𝟐 − 𝟏𝟎
𝟑𝟎𝟎 ÷ 𝟐 − 𝟏𝟎
𝟏𝟓𝟎 − 𝟏𝟎
𝟏𝟒0

Question 23

Give an example of the commutative property of addition using two different numbers.

Answer 23

Example: 𝟓 + 𝟔 = 𝟔 + 𝟓.

Question 24

Give an example of the commutative property of multiplication using two different numbers.

Answer 24

Example: 5 x 6 = 6 x 5

Question 25

Give an example of the additive property of zero.

Answer 25

Example: 3 + 0 = 3

Question 26

Give an example of the multiplicative identity property of one.

Answer 26

12 x 1 = 12

Question 27

Write an expression showing the sum of 𝟖 and a number 𝒇.

Answer 27

8 + f or f + 8