Cabinet a is 5 inches taller than cabinet b. cabinet c is 3 inches taller than cabinet b whose height is x inches. a) write algebraic expressions for the heights of cabinets a and c. b) if the total height of the three cabinets is (3x + 8) inches, can you solve for the height of cavinet b? explain.

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.

If a line is defined by the equation y = 5x + 2, what is the slope?