Question

Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?

Answer 1

Answer:

7x+6

Step-by-step explanation:

Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?

Simplified Expression:

3(x + 4) + 2(2x – 3)

3x+12+2(2x-3)

3x+12+4x-6

7x+6

Answer 2

Equation is a way to represent the equality expression contains variables or numbers.The correct simplified expression for the Aryana's expression is,

$f(x)=7x+6$

Result of both expression when x is 3 is 21 and 6.

Given-

Let expression solved by the Aryana is $f(x)$. Thus,

$f(x)=3(x+4)+2(2x-3)$

What is equation?

Equation is a way to represent the equality expression contains variables or numbers.

Solve the above equation and open the brackets,

$f(x)=3x+12+4x-6$

Arrange the same variable,

$f(x)=(3x+4x)+12+6$

$f(x)=7x+6$

Thus the correct simplified expression for the Aryana's expression is,

$f(x)=7x+6$

The result for the expression when the value of x is 3.

$f(x)=7\times3+6$

$f(x)=21+6$

$f(x)=27$

Hence the simplified expression for the Aryana's expression is 27 when x is 3.

Simplifies expression for first expression when x is 3,

$=3(x+4)$

$=3(3+4)$

$=21$

Simplifies expression for second expression when x is 3,

$=2(2x-3)$

$=2(2\times3-3)$

$=2(6-3)$

$=2\times3$

$=6$

Hence, The correct simplified expression for the Aryana's expression is,

$f(x)=7x+6$

Result of both expression when x is 3 is 21 and 6.

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