Name:_____________________________________________________ Class:________________ Date:_____________________

1.

2. Explain or show how

3. Match the tape diagram with its correct number sentence.

______ 3 + 5 – 5 = 3 (a) (b)

______ 4 x 5 ÷ 5 = 4

______ 8 – 2 + 2 = 8

______ 12 ÷ 3 x 3 = 12

(c)

(d)

Module 4: Lessons 1 Lessons 8

STUDY GUIDE

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4. Tell whether the following equations are true or false. Then, explain your reasoning.

5. Write an equivalent expression to demonstrate the relationship between addition and multiplication.4a. t + t + e + e + e + e + y + y + y + y=__________________________________________________________

b. h+ h + h + h= ________________________________________________________________________

c. 4h = ________________________________________________________________________

d. p 7 = ________________________________________________________________________

6. Evaluate this question:

x + 3m - 3m = x

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7. Evaluate this question:

8. Determine the volume of this right rectangular prism by replacing the letters in the formula with their appropriate number.

V = l wh

V = ________ _________ __________ (solve by replacing the variables w/ #s)

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9. Demonstrate the property listed in the first Colum by filling in the blanks.

Commutative Property of Addition 32 + m = m + 32 done for you

Commutative Property of Multiplication

Additive Property of Zero

Multiplicative Identity Property of One

10. Samantha and Jaylin have similar problems and find the same answer. Each determines that the solution to the problem is 24.

(a) Evaluate each expression to determine if both Samantha and Jaylin are correct.(b) Why would each find the solution of 24? What mistakes were made, if any?

Samantha: (14 + 42) ÷ 7 + 42 Jaylin: 14 + (42÷ 7) + 42

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