Forms of Quadratic Equations - Day 1

Converting Forms of Quadratics

Day 1

Multiple Choice

$$\left(2x-1\right)\left(3x+4\right)$$   Find the equivalent expression.  

• $$6x^2-5x-4$$  

• $$6x^2+5x-4$$  

• $$6x+11x+4$$  

• $$6x+5x-4$$  

• $$6x^2-11x-4$$  

Multiple Choice

Change the quadratic equation from factored form to standard form:

(x + 3)(x - 2)

• x² + 6x + 5

• x² -5x + 6

• 6x²+ 6

• x² + x - 6

Multiple Choice

Change the quadratic equation from factored form to standard form:

(x + 6)(x +5)

• x² + 6x + 5

• x² +11x + 30

• x²+ 30x+11

• x² + x - 6

Multiple Choice

Change the quadratic equation from factored form to standard form:

(x - 2) (x+ 3)

• x² + 1x - 6

• x² +1x + 6

• x² - 1x - 6

• x² + 2x - 6

Multiple Choice

Change the quadratic equation from factored form to standard form:

(2x + 4) (2x + 9)

• $$4x^2+36x+36$$

• $$4x^2+18x+36$$

• $$x^2+36x+36$$

• $$4x^2+18x+13$$

Multiple Choice

Change the quadratic equation from factored form to standard form:

(3m + 5) (2m - 3)

• $$5m^2+19\ -\ 15$$  

• $$6m^2+10m\ +15$$  

• $$6m^2+1m-15$$  

• $$5m^2+19m\ -\ 15$$  

Multiple Choice

$$y=-3(x+5)^2-4$$   Convert the equation from vertex form to standard form.

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Multiple Choice

$$y=-5(x+2)^2-10$$   Convert the equation from vertex form to standard form.

• y = -5x² - 20x - 30

• y = -5x² - 4x - 10

• y = 25x² + 100x + 90

• y = 25x² - 10x - 30

Multiple Choice

$$y=4(x+2)^2-8$$ Convert the equation from vertex form to standard form. 

• $$y=4x^2+16x+8$$  

• $$y=4x^2+16x+16$$  

• $$y=16x^2+64x-8$$  

• $$y=16x^2+256x+8$$  

Multiple Choice

$$y=-\frac{2}{3}(x-9)^2-2$$   Convert the equation from vertex form to standard form

• $$y=-\frac{2}{3}x^2-12x-52$$  

• $$y=-\frac{2}{3}x^2+12x-56$$  

• $$y=-\frac{2}{3}x^2+18x-56$$  

• $$y=-\frac{2}{3}x^2-18x+52$$  

Multiple Choice

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)

Multiple Choice

Factor:
 4h² - 17h + 4

• (2h - 2)²

• 4(h + 4)(h + 1)

• (2h - 2)(2h + 2)

• (h - 4)(4h - 1)

Multiple Choice

Factor:

3m² + 10m + 8

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 2)(3m + 4)

• (2m + 3)(m - 3)

Multiple Choice

Factor completely.
5x² - 7x + 2

• 5(x - 2)(x + 1)

• (5x - 2)(x + 1)

• (7x - 1)(x - 4)

• (5x - 2)(x - 1)

Multiple Choice

Factor completely.
5x² - 13x + 6

• (x - 3)(5x - 2)

• (5x - 3)(x - 2)

• 5(x - 3)(x + 2)

• Not factorable

Multiple Choice

Convert y = (x-5)² -1
to factored form.

• y= (x-4)(x-6)

• y= (4x-2)(x+6)

• y= (x-12)(x+3)

• y = (x-4)(x+6)

Multiple Choice

Convert y = -6(x-7)² +54 to factored form

• y = (x-10)(x-3)

• y = (x+10)(x-4)

• y = (x-3)(x+4)

• y = (x-10)(x-4)

Multiple Choice

CONVERT FROM VERTEX TO STANDARD FORM: y= 2(x-3)²-2

• 2x²-12x+18-2

• x²-6x+9

• 2x²+6x+18-2

• 2x²-12+9-2