A. Name the property illustrated in each of the following expressions. (6 points)
______________________________ 1. (−3) + 3 = 0
______________________________ 2. 8 + 0 = 8
______________________________ 3. 5 × 1 = 5
______________________________ 4. 2 × (4 + 6) = (2 × 4) + (2 × 6)
______________________________ 5. 6 × 7 = 7 × 6
______________________________ 6. (2 + 5) + 8 = 2 + (5 + 8)
B. Use the indicated property to write an expression that is equivalent to each of the
following expressions. (5 points)
1. 4 + 3 = (Commutative Property for Addition)
2. (3 × 2) × 5 = (Associative Property for Multiplication)
3. 9 + (−9) = (Inverse Property)
4. 3 × (4 + 7) = (Distributive Property of Multiplication over Addition)
5. 4 + 0 = (Identity Property for Addition)
C. Analyze and solve the following problems.
1. Fill in the blanks to illustrate the properties of integers. (2 points)
a. 2 + (4 + 7) = ( ______ + ______ ) + ______
b. 5 + 0 = ______
2. What must be the value of �� to make −5 + �� = 0 true? (2 points)
Unit 2: Integers • Grade 7
3. By the distributive property of multiplication over addition, the mathematical expression 3 × (5 + 2) is equivalent to the sum of what two integers? (2 points)
4. Betty and Oscar made withdrawals from their bank accounts. Betty withdrew ₱450 on Monday and ₱300 on Tuesday. Oscar withdrew ₱300 on Monday and ₱450 on Tuesday.
a. Who has the greater amount withdrawn for two days? (1 point)
b. What property of integers explains your answer in a? (2 points)
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