Solution Sets of Quadratic Equations Quick Check Answers

These are correct for 9th grade ALG 1A 2024
1. A) Both x=-1 and x=7/3 are solutions.
2. A) 24 feet
3. C) Yes, x=−3
is a solution because substituting it back into the equation results in the following:

x Substituted Evaluate True Statement?
−3
−3(−3)^2−9(−3)=0
0=0
True
Yes, x equals negative 3 is a solution because substituting it back into the equation results in the following: x Substituted Evaluate True Statement? negative 3 negative 3 left parenthesis negative 3 right parenthesis squared minus 9 left parenthesis negative 3 right parenthesis equals 0 0 equals 0 True
4. A) two
5. C) two

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
7 hours ago

Based on the answers you've provided for the Quick Check on solution sets of quadratic equations for 9th grade Algebra 1A, here’s a summary that includes the answers and brief explanations where applicable:

  1. Both x = -1 and x = 7/3 are solutions.

    • This implies that the quadratic equation has two specific roots, indicating it may have been factored or solved using the quadratic formula.
  2. 24 feet

    • This likely refers to the maximum height or distance in a quadratic context. Without the specific problem, we assume it relates to a real-world scenario involving quadratic equations.
  3. C) Yes, x = -3 is a solution.

    • This is validated by substituting x = -3 back into a quadratic equation and confirming that it satisfies the equation, as shown in the evaluation.
  4. A) two

    • This likely refers to the number of solutions or roots a quadratic equation can have, which may vary based on the discriminant (greater than, equal to, or less than zero).
  5. C) two

    • This also suggests a confirmation of the number of solutions from another perspective, repeating the conclusion that a quadratic can generally have two real solutions.

If you're looking for more details on each answer or need assistance with related quadratic topics, feel free to ask!