$\"\"$

The sentence is “the product of 6 and square of z, increased by the sum of

7, z² and 6.

The word “product” indicates multiplication and the symbol is $\"\"$ .

The word “increased” represents the symbol +. \ \

$\"\"$

The algebraic expression is $\"\"$ .

$\"\"$

$\"\"$ (Commutative Property: a + b = b + a)

$\"\"$ (Distributive property: a (b + c) = ab + ac)

$\"\"$ (Add: 6 + 1 = 7)

$\"\"$ (Add: 7 + 6 = 13)

$\"\"$

The simplified expression is $\"\"$ .