The ____________ is used to determine the number of solutions to a quadratic equation.
Solving Quadratic Equations with Rational Solutions

Quiz
•
Mathematics
•
11th Grade
•
Hard
Anthony Clark
FREE Resource
14 questions
Show all answers
1.
FILL IN THE BLANK QUESTION
1 min • 6 pts
2.
DRAG AND DROP QUESTION
1 min • 6 pts
If you have a (a) , you can solve the quadratic equation by square roots!
Remember a (b) number always has (c) real square roots, so you must solve for both cases.
difference of squares
perfect square trinomial
positive
negative
sum of cubes
difference of cubes
rational
two
one
three
3.
REORDER QUESTION
1 min • 6 pts
Reorder the following steps to solve a quadratic equation when the leading coefficient is 1 (a = 1) to solve the equation by completing the square.
Factor the perfect square trinomial.
Write the answer using curly braces in set notation
Take half of b, square it, then
add this to both sides.
Take the square root of both sides and solve for both cases.
Rewrite as
x2 + bx = c
4.
REORDER QUESTION
1 min • 6 pts
Reorder the following steps to solve a quadratic equation when the leading coefficient is not 1 (a > 1) to solve the equation by completing the square.
Rewrite as
ax2 + bx = c
Factor the perfect square trinomial.
Take half of b, square it, then
add this to both sides.
Take the square root of both sides and solve for both cases.
Divide the entire equation by a
5.
REORDER QUESTION
1 min • 6 pts
Reorder the following steps to solve a quadratic equation by using the quadratic formula.
Simplify using the order of operations
(PEMDAS)
Substitute these values
into the formula
Identify a, b, and c.
Make sure the equation is
set equal to 0 and written
in standard form.
ax2 + bx + c = 0
Write the answer using curly braces in set notation
6.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
When is a quadratic equation factorable?
When the diagonal
(ax=y) is a perfect square
When the difference
(d=ax2−c) is a perfect square
When the difference
(d=ax2−c) is a perfect cube
When the discriminant
(d=b2−4ac) is a perfect cube
When the discriminant
(d=b2−4ac) is a perfect square
7.
LABELLING QUESTION
1 min • 6 pts
Complete the quadratic formula in the diagram shown given that a quadratic equation is in standard form a x^2 + b x + c = 0,
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Solve Quadratics

Quiz
•
7th Grade - University
12 questions
Completing the Square/Quadratic Formula

Quiz
•
11th - 12th Grade
18 questions
Unit 9 Study Guide

Quiz
•
9th - 12th Grade
14 questions
Solving Quadratics Mixed Practice

Quiz
•
9th - 12th Grade
15 questions
Quadratic Forms

Quiz
•
9th - 12th Grade
19 questions
Solving Quadratics with Complex Solutions Using Square Root Method

Quiz
•
10th Grade - University
15 questions
Solving by Completing Square and Quadratic Formula

Quiz
•
11th Grade - University
15 questions
The Quadratic Formula

Quiz
•
9th - 12th Grade
Popular Resources on Wayground
25 questions
Equations of Circles

Quiz
•
10th - 11th Grade
30 questions
Week 5 Memory Builder 1 (Multiplication and Division Facts)

Quiz
•
9th Grade
33 questions
Unit 3 Summative - Summer School: Immune System

Quiz
•
10th Grade
10 questions
Writing and Identifying Ratios Practice

Quiz
•
5th - 6th Grade
36 questions
Prime and Composite Numbers

Quiz
•
5th Grade
14 questions
Exterior and Interior angles of Polygons

Quiz
•
8th Grade
37 questions
Camp Re-cap Week 1 (no regression)

Quiz
•
9th - 12th Grade
46 questions
Biology Semester 1 Review

Quiz
•
10th Grade