1.2 Adding and Subtracting Polynomials

Solve: $$\left(a-6x+12\right)+\left(2a+4x-10\right)$$ = ____

Simplify: $$\left(\frac{3}{4}a+\frac{2}{3}x+4\right)+\left(\frac{1}{4}a-\frac{5}{3}x-13\right)$$

​ ​ (a)   a + ​ (b)   x +​ ​ (c)  

Put the steps in order to simplify: $$\left(2x-3\right)+\left(2x-5a+13\right)-\left(a-1\right)$$

Simplify: $$\left(-4a-11x+7\right)-\left(5a-7x-9\right)$$

​ (a)   a + ​ (b)   x + ​ (c)  

Find the perimeter of the triangle.

The area of the square is 3a - 7x + 12.

The area of the triangle is a - 8x + 18.

Find the area of the shaded region.

(a)   a + ​ (b)   x + ​ (c)  

$$\left(-a+5x-11\right)-\left(-a+6x-14\right)$$

What are the steps to simplify this expression in the correct order?

In three to five complete sentences, explain your process for simplifying the expression $$\left(2x-11a+14\right)+\left(7a-x+3\right)$$ including the fully simplified expression.