Free Printable FOIL (going from factored to standard)

1.

How do you go from factored form $\left(x-r_1\right)\left(x-r_2\right)$ to standard form $ax^2+bx+c$ ?

a)

You add it all together

b)

You hope for the best

c)

You FOIL it out!

d)

You factor

2.

What does FOIL stand for?

a)

Friendly Otters Inside Lakes

b)

Fill Out In Letters

c)

Fresh Olives I Love

d)

First Outside Inside Last

3.

Why do we even use FOIL for this? Check all that apply.
$\left(x-r_1\right)\left(x-r_2\right)$

a)

It helps us know what to multiply

b)

It makes it easy to remember what to do

c)

It helps us keep track of what we've already multiplied

4.

Go from factored to standard form $\left(x+3\right)\left(x+4\right)$

a)

$x+7x+12$

b)

$x^2+7x+12$

c)

$3x\cdot4x$

d)

$x^2+x+12$

5.

Go from factored to standard form $\left(x-3\right)\left(x+5\right)$

a)

$x^2+8x-15$

b)

$x+2x-15$

c)

$x^2+8x-15$

d)

$x^2+2x-15$

6.

Go from factored to standard form $\left(x-6\right)\left(x-10\right)$

a)

$x^2-16x-60$

b)

$x^2-16x+60$

c)

$x^2+16x+60$

d)

$x+16x-10$

7.

Go from factored to standard form $\left(2x-1\right)\left(x+4\right)$

a)

$2x+7x-4$

b)

$2x^2+7x+3$

c)

$2x^2+7x-4$

d)

$2x^2+9x+3$

8.

Go from factored to standard form
$\left(3p-5\right)\left(2p+4\right)$

a)

$5p^2+2p-20$

b)

$6p^2+2p-20$

c)

$5p^2+2p-1$

d)

$6p^2+22p-20$

9.

Go from factored to standard form
$\left(x+8\right)\left(3x-2\right)$

a)

$3x^2+22x-16$

b)

$3x^2+26x-16$

c)

$3x^2+22x+6$

d)

$8x\cdot-6x$

10.

Go from factored to standard form
$\left(x+5\right)\left(x-5\right)$

a)

$x^2+10x-10$

b)

$x^2+10x-25$

c)

$x^2-10x-25$

d)

$x^2-25$

11.

Go from factored to standard form
$\left(2a+1\right)\left(2a+1\right)$

a)

$2a^2+4a+1$

b)

$4a^2+4a+1$

c)

$4a^2+4a+2$

d)

$2a\cdot2a$

12.

Go from factored to standard form
$\left(8x-5\right)\left(4x-7\right)$

a)

$12x^2-76x+35$

b)

$12x^2+76x+35$

c)

$32x^2-76x-35$

d)

$32x^2-76x+35$

13.

Go from factored to standard form
$\left(3x-2\right)\left(3x+2\right)$

a)

$9x^2-4$

b)

$9x^2-12x-4$

c)

$9x^2+12x-4$

d)

$6x^2-4$

14.

Go from factored to standard form
$\left(-5x+6\right)\left(3x-4\right)$

a)

$15x^2-2x-24$

b)

$-15x^2+38x-24$

c)

$-15x^2-2x-24$

d)

$-30x\cdot-12x$

15.

Go from factored to standard form
$\left(7r+1\right)\left(-2r-6\right)$

a)

$5r^2-44r-6$

b)

$-14r^2-44r-5$

c)

$5r^2-42r-2r-6$

d)

$-14r^2-44r-6$

16.

Go from factored to standard form
$\left(m+1\right)\left(m+1\right)$

a)

$m^2+m+1$

b)

$m^2+2m+1$

c)

$m^2+2m+2$

d)

$m^2+1$

17.

Challenge (you've got this just take it slow) FOIL this out! $\left(6x-2y\right)\left(4x+3y\right)$

a)

$-12xy\cdot12xy$

b)

$24x^{ }+10xy-6y$

c)

$24x^2+10xy-6y^2$

d)

$10x^2+18xy-8yx+1y^2$

18.

In this Quadratic Equation in Standard Form what is a, b, and c?

$x^2-4x+20$

a)

a = 1, b = - 4, c = 20

b)

a = x, b = - 4, c = 20

c)

a = 1, b = 4, c = 20

d)

a = x, b = 4, c = 20

19.

In this Quadratic Equation in Standard Form what is a, b, and c?

$-3x^2+x+7$

a)

a = -3, b = x, c = 7

b)

a = 3, b = 1, c = 7

c)

a = 2, b = x, c = 7

d)

a = -3, b = 1, c = 7

20.

TRY TO GO BACKWARDS: Go from standard form to factored form (you need to find two numbers that multiply to C and add to B)

$x^2+8x+12$

a)

$\left(x+3\right)\left(x+4\right)$

b)

$\left(x+4\right)\left(x+4\right)$

c)

$\left(x+6\right)\left(x+2\right)$

d)

$\left(x+7\right)\left(x+1\right)$

FOIL (going from factored to standard)

Total questions: 20

Worksheet time: 10mins

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