Question

A. Steven wrote an expression with 2 terms. The second term, which is the whole number 7, is subtracted from the first term. The first term is the product of 2 and the quantity of the sum of twice a number x and five, squared.
Write Steven’s expression and evaluate it for x = 3. Show all your work.


B. Jasmine wrote an expression that also has 2 terms. The first term has the variable x raised to the second power with a coefficient of 3. The second term is the product of x and 25. The terms are then added together.


Write Jasmine’s expression and solve for x = 2. Show all your work.

Answer 1

Answer:

Part a)

Steve's expression is $2(2x+5)^{2}-7$

For x=3, the expression is equal to $235$

Part b)

Jasmine's expression is

$(3x^{2})+(25x)$

For x=2, the expression is equal to $62$

Step-by-step explanation:

Part a)

Let

n-----> the first term

The expression is

$(n-7)$

$n=2(2x+5)^{2}$

substitute

Steve's expression is

$2(2x+5)^{2}-7$

Evaluate for x=3

$2(2(3)+5)^{2}-7=242-7=235$

Part b)

Let

n-----> the first term

Jasmine's expression is

$(3x^{2})+(25x)$

Evaluate for x=2

$(3(2)^{2})+(25(2))=12+50=62$