Solve Quadratic Equations Using the Quadratic Formula Quiz
The question sheet
Reveal any answer as you study-
In the Quadratic Formula, what condition must a satisfy?
- a < 0
- a > 1
- a ≠ 0
- a = 0
Reveal answer
Answer: a ≠ 0
Source evidence
PDF page 1242: • Quadratic Formula The solutions to a quadratic equation of the form ax + bx + c = 0, a ≠ 0 are given by
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What is the last step when solving with the Quadratic Formula?
- Identify a, b, c
- Substitute values
- Simplify
- Check the solutions
Reveal answer
Answer: Check the solutions
Source evidence
PDF page 1242: To solve a quadratic equation using the Quadratic Formula. Step 1. Write the quadratic formula in standard form. Identify the a, b, c values. Step 2. Write the quadratic formula. Then substitute in the values of a, b, c. Step 3. Simplify. Step 4. Check the solutions. 2
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What expression is called the discriminant?
- ax + bx + c
- b − 4ac
- 2a
- b² + 4ac
Reveal answer
Answer: b − 4ac
Source evidence
PDF page 1242: • Using the Discriminant, b − 4ac , to Determine the Number of Solutions of a Quadratic Equation
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The discriminant is used to determine what about a quadratic equation?
- The number of solutions
- Its standard form
- Its degree
- Its leading coefficient
Reveal answer
Answer: The number of solutions
Source evidence
PDF page 1242: • Using the Discriminant, b − 4ac , to Determine the Number of Solutions of a Quadratic Equation
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If b − 4ac > 0, how many solutions does the equation have?
- 1 solution
- No real solutions
- 2 solutions
- 3 solutions
Reveal answer
Answer: 2 solutions
Source evidence
PDF page 1242: ◦ if b − 4ac > 0 , the equation has 2 solutions.
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If b − 4ac < 0, what does this tell you about the equation?
- It has no real solutions
- It has 1 solution
- It cannot be factored
- It has 2 solutions
Reveal answer
Answer: It has no real solutions
Source evidence
PDF page 1242: ◦ if b − 4ac < 0 , the equation has no real solutions.
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When identifying the best method, which method should you try first?
- Factoring
- Square Root Property
- Graphing
- Quadratic Formula
Reveal answer
Answer: Factoring
Source evidence
PDF page 1242: Step 1. Try Factoring first. If the quadratic factors easily this method is very quick. 2 2 Step 2. Try the Square Root Property next. If the equation fits the form ax = k or a(x − h) = k , it can easily be solved by using the Square Root Property. Step 3. Use the Quadratic Formula. Any other quadratic equation is best solved by using the Quadratic Formula.
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Which method is best for an equation fitting the form ax² = k?
- Graphing
- Factoring
- Quadratic Formula
- Square Root Property
Reveal answer
Answer: Square Root Property
Source evidence
PDF page 1242: Step 1. Try Factoring first. If the quadratic factors easily this method is very quick. 2 2 Step 2. Try the Square Root Property next. If the equation fits the form ax = k or a(x − h) = k , it can easily be solved by using the Square Root Property. Step 3. Use the Quadratic Formula. Any other quadratic equation is best solved by using the Quadratic Formula.
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The Square Root Property easily solves equations fitting which form?
- a(x − h)² = k
- b − 4ac
- ax + bx + c
- ax + b = 0
Reveal answer
Answer: a(x − h)² = k
Source evidence
PDF page 1242: Step 1. Try Factoring first. If the quadratic factors easily this method is very quick. 2 2 Step 2. Try the Square Root Property next. If the equation fits the form ax = k or a(x − h) = k , it can easily be solved by using the Square Root Property. Step 3. Use the Quadratic Formula. Any other quadratic equation is best solved by using the Quadratic Formula.
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Which method is best for any other quadratic equation?
- Square Root Property
- Graphing
- Quadratic Formula
- Factoring
Reveal answer
Answer: Quadratic Formula
Source evidence
PDF page 1242: Step 1. Try Factoring first. If the quadratic factors easily this method is very quick. 2 2 Step 2. Try the Square Root Property next. If the equation fits the form ax = k or a(x − h) = k , it can easily be solved by using the Square Root Property. Step 3. Use the Quadratic Formula. Any other quadratic equation is best solved by using the Quadratic Formula.
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What is the correct order of methods to try when solving a quadratic?
- Formula, factoring, square root
- Square root, formula, factoring
- Graphing, factoring, formula
- Factoring, square root, formula
Reveal answer
Answer: Factoring, square root, formula
Source evidence
PDF page 1242: Step 1. Try Factoring first. If the quadratic factors easily this method is very quick. 2 2 Step 2. Try the Square Root Property next. If the equation fits the form ax = k or a(x − h) = k , it can easily be solved by using the Square Root Property. Step 3. Use the Quadratic Formula. Any other quadratic equation is best solved by using the Quadratic Formula.
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After substituting a, b, c into the formula, what is Step 3?
- Simplify
- Write standard form
- Check solutions
- Identify a, b, c
Reveal answer
Answer: Simplify
Source evidence
PDF page 1242: To solve a quadratic equation using the Quadratic Formula. Step 1. Write the quadratic formula in standard form. Identify the a, b, c values. Step 2. Write the quadratic formula. Then substitute in the values of a, b, c. Step 3. Simplify. Step 4. Check the solutions. 2
Elementary Algebra 2e
Elementary Algebra 2e by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.
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