Question

1-6 writing algebraic expressions
write each phrase as an algebraic expression.

1. the product of 6 and the square of a number
2. the square of the product of 6 and a number
3. 4 times the sum of a number and 6,008

Explanation:

Step1: Define variable for unknown number

Let the unknown number be $x$.

Step2: Translate phrase 1 to expression

Product of 6 and $x^2$: $6x^2$

Step3: Translate phrase 2 to expression

Square of product of 6 and $x$: $(6x)^2$

Step4: Translate phrase 3 to expression

4 times sum of $x$ and 6008: $4(x + 6008)$

Answer:

1. $6x^2$
2. $(6x)^2$
3. $4(x + 6008)$