Question

1. What is the algebraic expression for the following word phrase: the sum of 3 and 4x?

Answer 1

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 $\frac{8}{x-y}$

Part 3.

Algebraic Expression for " the quotient of x and 2y "

For the Quotient we apply division operation.

So, Algebraic Expression is $\frac{x}{2y}$

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

Answer 2

1. 3 + 4x

2. 8/ x-y

3. X/2y

4. Four times a number m

5 let m represent months
30 + 12m