Menu

The Quadratic Formula

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

[ 3 Votes ]

The following math revision questions are provided in support of the math tutorial on The Quadratic Formula. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the The Quadratic Formula tutorials. The The Quadratic Formula calculators are particularly useful for ensuring your step - by - step calculations are correct as well as ensuring your final result is accurate.

Not sure on some or part of the The Quadratic Formula questions? Review the tutorials and learning material for The Quadratic Formula

Equations Learning Material
Tutorial IDTitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
9.6The Quadratic Formula

The Quadratic Formula Revision Questions

1. . The quadratic equation 5x2 + 3x + 2 = 0 has ...

  1. No roots
  2. One root
  3. Two equal roots
  4. Two distinct roots

Correct Answer: A

2. . The quadratic equation 2x2 + 10x + m = 0 has two distinct roots. What is the maximum integer value the constant m can have in these conditions?

  1. 10
  2. 11
  3. 12
  4. 13

Correct Answer: C

3. . What is the minimum integer value of c for which the quadratic equation 5x2 - 7x + c = 0 has no solution?

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: B

4. . One of the roots of the quadratic equation x2 + 5x + c = 0 is x = -6. What is the value of c?

  1. 1
  2. 4
  3. -6
  4. 6

Correct Answer: D

5. . The quadratic equation (x - 3)(2x + m) = 0 has the sum of its roots 2.5. What is the value of its discriminant?

  1. 1
  2. 24
  3. 25
  4. 49

Correct Answer: D

6. . What is/are the root(s) of the quadratic equation x2 + 3x + 2 = 0?

  1. -2 and 2
  2. -2 and -1
  3. -1 only
  4. -2 only

Correct Answer: B

7. . What is the value of m + 2n in the quadratic equation

2x2 - 10x + 12 ≡ (2x + m)(x + n)
  1. 2
  2. -10
  3. 10
  4. 12

Correct Answer: B

8. . The sum of the roots in the quadratic equation ax2 + bx + c = 0 is 4 and their product is 3. What is the equation?

  1. x2 - 4x + 3 = 0
  2. x2 + 4x + 3 = 0
  3. 2x2 - 4x + 1 = 0
  4. x2 - 3x + 2 = 0

Correct Answer: A

9. . The time t, in minutes, that it takes for a train to reach its maximum speed after leaving a station is modelled by the equation:

2t/3 + t2/2 = 1

What is this value expressed to one decimal place?

  1. 0.8
  2. 0.9
  3. 1.6
  4. 1.8

Correct Answer: B

10. . One side of a rectangle is 3 cm more than the other and the area of this rectangle is 32 cm less than a square with side length 6 cm. What is the smallest side of the rectangle?

  1. 1 cm
  2. 2 cm
  3. 3 cm
  4. 4 cm

Correct Answer: A

Whats next?

Enjoy the "The Quadratic Formula" practice questions? People who liked the "The Quadratic Formula" practice questions found the following resources useful:

  1. Practice Questions Feedback. Helps other - Leave a rating for this practice questions (see below)
  2. Equations Math tutorial: The Quadratic Formula. Read the The Quadratic Formula math tutorial and build your math knowledge of Equations
  3. Equations Video tutorial: The Quadratic Formula. Watch or listen to the The Quadratic Formula video tutorial, a useful way to help you revise when travelling to and from school/college
  4. Equations Revision Notes: The Quadratic Formula. Print the notes so you can revise the key points covered in the math tutorial for The Quadratic Formula
  5. Check your calculations for Equations questions with our excellent Equations calculators which contain full equations and calculations clearly displayed line by line. See the Equations Calculators by iCalculator™ below.
  6. Continuing learning equations - read our next math tutorial: Systems of Linear Equations. Methods for Solving Them.

Help others Learning Math just like you

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

[ 3 Votes ]

We hope you found this Math tutorial "The Quadratic Formula" useful. If you did it would be great if you could spare the time to rate this math tutorial (simply click on the number of stars that match your assessment of this math learning aide) and/or share on social media, this helps us identify popular tutorials and calculators and expand our free learning resources to support our users around the world have free access to expand their knowledge of math and other disciplines.

Equations Calculators by iCalculator™