Solving Quadratic Equations with Rational Solutions

Solving Quadratic Equations with Rational Solutions

11th Grade

14 Qs

quiz-placeholder

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Solving Quadratic Equations with Rational Solutions

Solving Quadratic Equations with Rational Solutions

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Anthony Clark

FREE Resource

14 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

1 min • 6 pts

Media Image

The ____________ is used to determine the number of solutions to a quadratic equation.

2.

DRAG AND DROP QUESTION

1 min • 6 pts

Media Image

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

Media Image

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.

Take half of b, square it, then

add this to both sides.

Factor the perfect square trinomial.

Rewrite as

x2 + bx = c

Take the square root of both sides and solve for both cases.

Write the answer using curly braces in set notation

4.

REORDER QUESTION

1 min • 6 pts

Media Image

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

Divide the entire equation by a

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.

5.

REORDER QUESTION

1 min • 6 pts

Media Image

Reorder the following steps to solve a quadratic equation by using the quadratic formula.

Make sure the equation is

set equal to 0 and written

in standard form.

ax2 + bx + c = 0

Simplify using the order of operations

(PEMDAS)

Identify a, b, and c.

Write the answer using curly braces in set notation

Substitute these values

into the formula

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

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,

a
b
c

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