Part A: Solve the equation 7x + 3x − 18 = 6(x + 3), and show your work. (5 points) Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points) Distributive Property Subtraction Property of Equality Combine Like Terms Multiplication Property of Equality Division Property of Equality Given Addition Property of Equality

Step-by-step explanation:

So we have the equation:

Steps:

1) Combine Like Terms (left):

2) Distribute Property (right):

3) Addition Property of Equality (add 18 to both sides):

4) Subtraction Property of Equality (subtract 6x from both sides):

5) Division Property of Equality (divide both sides by 4):

So, the value of x is 9 :)

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct