The steps in the simplification of the expression 9 + 3x + 2y − 2x – y − 8 are shown below. Step 1: 9 – 8 + 3x − 2x + 2y − y Step 2: (9 − 8) + (3x − 2x) + (2y − y) Step 3: 1 + x (3 − 2) + y (2 − 1) Step 4: 1 + x (1) + y (1) Step 5: 1 + x + y

Question

The steps in the simplification of the expression 9 + 3x + 2y − 2x – y − 8 are shown below.  Step 1:  9 – 8 + 3x − 2x + 2y − y Step 2:  (9 − 8) + (3x − 2x) + (2y − y)         Step 3:  1 + x (3 − 2) + y (2 − 1) Step 4:  1 + x (1) + y (1)         Step 5:  1 + x + y

anonymous · Answer

Which statement is correct?

anonymous · Answer

Step 2 uses associative property of addition, and step 4 uses the multiplicative identity.

 Step 2 uses associative property of multiplication, and step 3 uses commutative property of addition.

 Step 1 uses distributive property of addition, and step 5 uses distributive property of multiplication.

 Step 1 uses commutative property of addition, and step 2 uses simplification.