Exploring Slip and Slide Techniques in A1.8.6

What is the first step in solving quadratic equations with a leading coefficient greater than one?

• Factor the trinomial directly

• Check for a Greatest Common Factor (GCF)

• Divide everything by the leading coefficient

• Apply the quadratic formula

When solving 3x^2 + 9x - 12 = 0, what is the GCF?

• 12

• 9

• 3

• No GCF

After dividing by the GCF and factoring, what are the solutions for x in the equation 3x^2 + 9x - 12 = 0?

• x = -4, x = 1

• x = 4, x = -1

• x = 3, x = -4

• x = -3, x = 4

How do you solve a quadratic equation after factoring it?

• Combine like terms

• Set each factor equal to zero and solve for the variable

• Multiply the factors

• Add the factors

In the equation 5x^2 - 20x - 60 = 0, what is the GCF?

• No GCF

• 5

• 20

• 60

What method is used when a quadratic equation does not have a GCF?

• Graphing

• Completing the square

• Slip and slide

• Quadratic formula

In the 'slip and slide' method, what do you do after finding the factors that add up to the middle term?

• Divide the factors by the leading coefficient

• Subtract the leading coefficient from the factors

• Multiply the factors by the leading coefficient

• Add the leading coefficient to the factors

What does the 'slip' part in the 'slip and slide' method refer to?

• Temporarily ignoring the leading coefficient

• Slipping a variable to the other side of the equation

• Dividing the equation by the leading coefficient

• Multiplying the leading coefficient with the constant term

What is the correct solution for a quadratic equation after applying the 'slip and slide' method and simplifying?

• The product of the factors

• The sum of the factors

• The roots of the equation

• The coefficients of the equation

After applying the 'slip and slide' method to 8x^2 - 22x + 5 = 0, what are the final solutions for x?

• x = -5/2, x = -1/4

• x = -2/5, x = -4

• x = 5/2, x = 1/4

• x = 2/5, x = 4