Answer:
Part 1.
Algebraic Expression for " the sum of 3 and 4x "
Sum means Addition operation.
So, Algebraic Expression is 3 + 4x = 4x + 3
Part 2.
Algebraic Expression for " the quotient of 8 and the difference of x and y "
For the Quotient we apply division operation and for difference we apply Subtraction operation.
So, Algebraic Expression is
Part 3.
Algebraic Expression for " the quotient of x and 2y "
For the Quotient we apply division operation.
So, Algebraic Expression is
Part 4.
Algebraic Expression is 4m
Phrase which can be used for given expression is Product of 4 and m.
Part 5.
Cost of joining the gym = $30
Cost of gym per month = $ 12
Algebraic Expression for cost of gym for x month = 30 + 12x
Algebraic Expression for cost of gym for 6 month = 30 + 12 × 6