$\"\"$

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 $\"\"$ .

$\"\"$

$\"\"$ (Apply commutative Property of addition: $\"\"$ )

$\"\"$ (Apply distributive property: $\"\"$ )

$\"\"$ (Add: $\"\"$ )

$\"\"$

The simplified expression is $\"\"$ .