Order the following steps for solving quadratic equations by factoring.

Set the quadratic equation equal to zero.

Set each factor equal to zero, and solve each for the variable.

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 .

Divide the entire equation by a

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 . a x 2 + b x + c = 0

Substitute these values into the formula

Simplify using the order of operations (PEMDAS)

When is a quadratic equation factorable ?

When the discriminant (d=b 2 −4ac) is a perfect square

When the diagonal (ax=y) is a perfect square

When the difference (d=ax 2 −c) is a perfect square

When the difference (d=ax 2 −c) is a perfect cube

When the discriminant (d=b 2 −4ac) is a perfect cube

Intro to Solving Quadratic Equations

Authored by Linda Miragliotta

Mathematics

9th Grade

CCSS covered

Used 6+ times

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18 questions

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MULTIPLE CHOICE QUESTION

15 mins • 5 pts

What are the zeros?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

MULTIPLE SELECT QUESTION

15 mins • 5 pts

What is another word for roots of an equations?
(Select all choices that apply.)

y-intercepts

zeros

vertex

x-intercepts

solutions

Tags

CCSS.HSF-IF.C.7A

REORDER QUESTION

15 mins • 6 pts

What are the steps to solving this by completing the square?
x² + 10x + 21 = 0

Subtract 5 from both sides of the equation

Add 25 to both sides of the equation

Subtract 21 from both sides of the equation

Take the square root of both sides of the equation

Rewrite the left hand side as a (binomial)²

Answer explanation

Steps for completing the square when a=1
1st: Rewrite as x² + bx = c
2nd: Take half of b, square it, then add this to both sides.
3rd: Factor the perfect square trinomial.
4th: Take the square root of both sides and solve for both cases.
5th: Write the answer using curly braces in set notation

Tags

CCSS.HSA-REI.B.4B

LABELLING QUESTION

15 mins • 6 pts

Complete the quadratic formula in the diagram shown given that a quadratic equation is in
standard form
ax² + bx + c = 0,

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

15 mins • 5 pts

Solve by the Square Root method: x² = 16

± 4

± 8

-4i

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

15 mins • 5 pts

The points at which a parabola intersects the x-axis are the ________________.

quadratic roots

vertex

axis of symmetry

asymptotes

factors

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 5 pts

How many solutions are in the graph of the quadratic equation shown?

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Intro to Solving Quadratic Equations

What are the zeros?

What is another word for roots of an equations?
(Select all choices that apply.)

What are the steps to solving this by completing the square?
x² + 10x + 21 = 0

Steps for completing the square when a=1
1st: Rewrite as x² + bx = c
2nd: Take half of b, square it, then add this to both sides.
3rd: Factor the perfect square trinomial.
4th: Take the square root of both sides and solve for both cases.
5th: Write the answer using curly braces in set notation

Complete the quadratic formula in the diagram shown given that a quadratic equation is in
standard form
ax² + bx + c = 0,

Solve by the Square Root method: x² = 16

The points at which a parabola intersects the x-axis are the ________________.

How many solutions are in the graph of the quadratic equation shown?

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

If the discriminant is positive, d (a) 0, then there are (b) real solutions.
If the discriminant is zero, d (c) 0, then there is (d) real solution.
If the discriminant is negative, d (e) 0, then there are no real solutions.

Order the following steps for solving quadratic equations by factoring.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Intro to Solving Quadratic Equations

What are the zeros?

What is another word for roots of an equations?(Select all choices that apply.)

What are the steps to solving this by completing the square? x2 + 10x + 21 = 0

Steps for completing the square when a=11st: Rewrite as x2 + bx = c2nd: Take half of b, square it, then add this to both sides.3rd: Factor the perfect square trinomial.4th: Take the square root of both sides and solve for both cases. 5th: Write the answer using curly braces in set notation

​Complete the quadratic formula in the diagram shown given that a quadratic equation is in standard formax2 + bx + c = 0,

Solve by the Square Root method: x2 = 16

The points at which a parabola intersects the x-axis are the ________________.

How many solutions are in the graph of the quadratic equation shown?

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

If the discriminant is positive, d ​ (a) 0, then there are ​ (b) real solutions. If the discriminant is zero, d ​ (c) 0, then there is ​ (d) real solution. If the discriminant is negative, d ​ (e) 0, then there are no real solutions.

Order the following steps for solving quadratic equations by factoring.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is another word for roots of an equations?
(Select all choices that apply.)

What are the steps to solving this by completing the square?
x² + 10x + 21 = 0

Steps for completing the square when a=1
1st: Rewrite as x² + bx = c
2nd: Take half of b, square it, then add this to both sides.
3rd: Factor the perfect square trinomial.
4th: Take the square root of both sides and solve for both cases.
5th: Write the answer using curly braces in set notation

Complete the quadratic formula in the diagram shown given that a quadratic equation is in
standard form
ax² + bx + c = 0,

Solve by the Square Root method: x² = 16

If the discriminant is positive, d (a) 0, then there are (b) real solutions.
If the discriminant is zero, d (c) 0, then there is (d) real solution.
If the discriminant is negative, d (e) 0, then there are no real solutions.