Transformations of Quadratic Functions Answers

(3a2 – 5ab + b2) + (–3a2 + 2b2 + 8ab)Which of the following shows the sum of the polynomials rewritten with like terms grouped together?

Complete the statement. (3a2 – 5ab + b2) – (–3a2 + 2b2 + 8ab) =

(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) =

Which equivalent expression would you set up to verify the associative property of addition for(3x + 4) + ((5x2 – 1) + (2x + 6))?

What is the sum of the polynomials?

Use the expression below to complete the following tasks.(3a2 - 5ab + b2) - (-3a2 + 2b2 + 8ab)What is the additive inverse of the polynomial being subtracted?

After you rewrite subtraction as addition of the additive inverse, how can the like terms be grouped?

Complete the tasks to subtract the polynomials vertically.(1.3t3 + 0.4t2 – 24t) – (0.6t2 + 8 – 18t)What is the additive inverse of the polynomial being subtracted?

Choose the correct values for A, B, C, and D that align like terms to find the sum vertically. 1.3t3 + 0.4t2 + (–24t)

The diagram shows the plans for the triangular park. How much longer is BC than AC?

Use your result from the previous task to find the sum.

Find each sum.(3n2 – 5n + 6) + (–8n2 – 3n – 2) =

Find each difference.(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

(3a2 – 5ab + b2) + (–3a2 + 2b2 + 8ab)Which of the following shows the sum of the polynomials rewritten with like terms grouped together?

Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2)For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically. 1.3t3 + 0.4t2 + (–24t) = 0.6t2

= 0t3

= x2

The diagram shows the plans for the triangular park. What is the perimeter of the park?The perimeter is x2 + x – () feet.

Use the expression below to complete the following tasks.(3a2 - 5ab + b2) - (-3a2 + 2b2 + 8ab)What is the additive inverse of the polynomial being subtracted?

The diagram shows the plans for the triangular park. How much longer is BC than AC?