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MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.

Algebra 1 Mini-Lessons. The function below can be used to describe the motion of a ball thrown through the air. f ( x ) = − x 2 + 10 x − 21. Which of the following shows the correct factorization of this function for f ( x ) = 0?. ( x + 3)( x + 7) = 0 ( x + 3)( x − 7) = 0

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MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.

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  1. Algebra 1 Mini-Lessons The function below can be used to describe the motion of a ball thrown through the air. f(x) = −x2 + 10x − 21 Which of the following shows the correct factorization of this function for f(x) = 0? • (x + 3)(x + 7) = 0 • (x + 3)(x − 7) = 0 • (−x + 3)(x − 7) = 0 • (x − 3)(x + 7) = 0 MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.

  2. Algebra 1 Mini-Lessons Which equation below could be used to solve the functionf(x) = x2 + x − 20 for x, if f(x) = 10? • (x + 5)(x + 4) = 10 • (x − 5)(x − 4) = 10 • (x + 6)(x − 5) = 0 • (x + 5)(x − 6) = 0 MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.

  3. Algebra 1 Mini-Lessons Daryl needs to solve the problem shown below by using the quadratic formula.x2 + 7x + 1 = 31Which of the following shows the quadratic formula being used correctly to determine the solutions for this problem? MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.

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

  5. Algebra 1 Mini-Lessons Andrea used a quadratic function to solve a problem. The factored form of the function is shown below.(4x + 8)(6x − 3) = 0What is the positive solution to the problem? • -2 • 0.5 • 2 • 5 MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.

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