If Beauford wanted to solve this equation using factoring by grouping, which answer shows the correct sequence of steps? $$2x^2-5x-18=0$$

Multiply 2 and -18 together and factor -36 into -9 and 4. Split -5x into -9x and +4x. Factor out the GCF from both groups, and factor out the GCF from both terms. Set both factors equal to 0 and solve for x.

Multiply 2 and -18 together and factor -36 into -9 and 4. Write the equation in factored form. Set the factors equal to 0 and solve for x.

Multiply 2 and -18 together and factor -36 into -9 and 4. Split -5x into -9x and +4x. Factor out the GCF from both groups. Set both terms equal to 0 and solve for x.

Factor 18 into -9 and 2 Write the equation in factored form. Set the factors equal to 0 and solve for x.

If Carly wanted to solve the equation below by using the quadratic formula, which answer shows the correct sequence of steps?

Identify a=1, b=-12, and c=4. Plug in the numbers for a, b, and c. Simplify the radical (square root sign). Simplify the numerator and divide by the denominator.

Identify a=1, b=-12, and c=4. Plug in the numbers for a, b, and c. Simplify the radical (square root sign). Simplify the numerator.

Identify a=1, b=-12, and c=4. Plug in the numbers for a, b, and c. Simplify the radical (square root sign).

This trinomial cannot be solved by the quadratic formula.

If Delia wanted to solve the equation below by completing the square, which answer shows the correct sequence of steps? $$x^2-6x+4=0$$

Isolate the constant c value, find $$\left(\frac{-6}{2}\right)^2$$ , add 9 to both sides, factor the trinomial, then square root both sides and simplify.

Find $$\left(\frac{-6}{2}\right)^2$$ , add 9 to both sides, factor the trinomial, then square root both sides and simplify.

Isolate the constant c value, find $$\left(\frac{-6}{2}\right)^2$$ , add -3 to both sides, factor the trinomial, then square root both sides and simplify.

This trinomial cannot be solved by completing the square.

If Alucard wanted to solve this equation using the square root method, which answer shows the correct sequence of steps? $$x^2-41=8$$

Add 41 to both sides, then square root both sides.

Take the square root of both sides.

Subtract 41 from both sides, then square root both sides.

Subtract 8 from both sides, then square root both sides.

Solving Quadratic Equations Study Guide

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

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15 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

±81

±9

±3

No real solution

Tags

CCSS.8.EE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the discriminant?

b²-4ac

b²/2a

4ac

b²±4ac

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the discriminant equals 0, then the quadratic has:

Real Solution

Real Solutions

Half a Solution

No Real Solution

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the discriminant is negative, then the quadratic has:

Real Solution

Real Solutions

Half a Solution

No Real Solutions

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the discriminant is positive, then the quadratic has:

Real Solution

Real Solutions

Half a Solution

No Real Solution

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert x²+6x+9 to factored form and identify the solution.

(x+3)(x+3); x=-3

(x+4)(x+5); x=-4, -5

(x-3)(x-3); x=3

Not factorable

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor x²-6x-40

(x-10)(x+4)

(x+10)(x-4)

(x-8)(x+5)

(x+8)(x-5)

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Solving Quadratic Equations Study Guide

What is the discriminant?

If the discriminant equals 0, then the quadratic has:

If the discriminant is negative, then the quadratic has:

If the discriminant is positive, then the quadratic has:

Convert x²+6x+9 to factored form and identify the solution.

Factor x²-6x-40

ax²+bx+c=0 is the standard form of a quadratic equation.

The quadratic equation can be used to solve quadratic equations that cannot be factored.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solving Quadratic Equations Study Guide

What is the discriminant?

If the discriminant equals 0, then the quadratic has:

If the discriminant is negative, then the quadratic has:

If the discriminant is positive, then the quadratic has:

Convert x2+6x+9 to factored form and identify the solution.

Factor x2-6x-40

ax2+bx+c=0 is the standard form of a quadratic equation.

The quadratic equation can be used to solve quadratic equations that cannot be factored.

Determine the values of a, b, and c for the quadratic equation: 4x2 – 8x = 3

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Convert x²+6x+9 to factored form and identify the solution.

Factor x²-6x-40

ax²+bx+c=0 is the standard form of a quadratic equation.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3