2. MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula. f(x) = −x 2 + 10x − 21 The function below can be used to describe the motion of a ball thrown through the air. Which of the following shows the correct factorization of this function for f(x) = 0? A.(x + 3)(x + 7) = 0 B.(x + 3)(x − 7) = 0 C.(−x + 3)(x − 7) = 0 D.(x − 3)(x + 7) = 0

3. MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula. Which equation below could be used to solve the function f(x) = x 2 + x − 20 for x, if f(x) = 10 ? A.(x + 5)(x + 4) = 10 B.(x − 5)(x − 4) = 10 C.(x + 6)(x − 5) = 0 D.(x + 5)(x − 6) = 0

4. MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula. Daryl needs to solve the problem shown below by using the quadratic formula. x 2 + 7x + 1 = 31 Which of the following shows the quadratic formula being used correctly to determine the solutions for this problem?

5. MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula. Judith used a quadratic function to solve a problem. The factored form of the function is shown below. (x − 3)(x − 4) = 0 What is the sum of the solutions to the problem? A.3 B.1 C.7 D.12

6. MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula. Andrea used a quadratic function to solve a problem. The factored form of the function is shown below. (4x + 8)(6x − 3) = 0 What is the positive solution to the problem? A. -2 B. 0.5 C. 2 D. 5