Question

Solve the equation using the distributive property and properties of equality: (x + 6) = 16. What is the value of x^2?

A) 6
B) 14
C) 30

Answer 1

To solve the equation (x + 6) = 16, use the distributive property to remove the parentheses and the property of equality to isolate x. Substitute the value of x in x^2 + 6x = 16 to find the value of x^2.

Step-by-step explanation:

To solve the equation (x + 6) = 16, we can begin by using the distributive property to remove the parentheses. This gives us x + 6 = 16.

Next, we can use the property of equality which states that if a = b, then a + c = b + c. By subtracting 6 from both sides of the equation, we have x = 10.

Now, to find the value of x^2, we can simply substitute the value of x in the equation x^2 + 6x = 16. This gives us 10^2 + 6(10) = 16, which simplifies to 100 + 60 = 160. Therefore, the value of x^2 is 160.