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

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`

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`