Free Printable FOIL/FACTOR Practice

Worksheets

FOIL/FACTOR Practice

Total questions: 50

Worksheet time: 3hrs 26mins

Name

Class

Date

(x +2)(x + 3)

x² + 5x + 6

x² + x + 6

x² + 5x + 5

x² + 6x + 6

(x - 5)(x + 1)

x² - 4x - 5

x² + 6x - 5

x² - 5x - 4

x² - 4x - 4

(2x + 3)(3x + 4)

6x² + 17x + 7

6x² + 17x + 12

6x² + 8x + 12

6x² + 9x + 12

(4x + 3)(x + 2)

x² + 11x + 6

4x² + 8x + 6

4x² + 3x + 6

4x² + 11x + 6

(3x + 4)(2x + 2)

6x² + 14x + 6

6x² + 14x + 8

5x² + 14x + 6

5x² + 14x + 8

(6y - 5)(9y + 4)

27y² - 21y - 20

36y² - 21y - 20

45y² - 21y - 20

54y² - 21y - 20

(2h + 8)(9h + 4)

12h⁸ + 18h + 32

18h² + 80h + 32

16h² + 60h + 38

24h² + h + 32

What does FOIL stand for?

Failing Only in Latin

Farming Only in Lakewood

First Outer Inner Last

Fresh Only in Lakes

What does it mean for two terms to be considered "like terms"

They have the same number

They have the same variable

They have the same variable and exponent.

10.

(4x + 7)(3x + 5)

12x + 41 + 35

12x² + 20x + 35

12x² + 41x + 35

12x + 20 + 35

11.

Which represents the First product using the FOIL method?

$\left(5\right)\left(7\right)=35$

$\left(5\right)\left(2z\right)=10z$

$\left(3z\right)\left(2z\right)=6z^2$

$\left(3z\right)\left(7\right)=21z$

12.

Which represents the Outer product using the FOIL method?

$\left(5\right)\left(7\right)=35$

$\left(5\right)\left(2z\right)=10z$

$\left(3z\right)\left(2z\right)=6z^2$

$\left(3z\right)\left(7\right)=21z$

13.

Use FOIL to solve: (p + 9)(4p + 2)

9p x 4p + 2

p to the 5th power minus seven

-18p

4p² + 38p + 18

14.

Multiply (x + 7)(x + 9)

x² + 63x + 16

x² + 16x + 63

x² + 16x + 2

15.

Multiply (x + 5)(x + 4)

x² + 9x + 20

x² + 20x + 9

x² + x + 20

16.

Multiply (x - 3)(x +10)

x² - 7x + 13

x² + 13x + 30

x² + 7x - 30

17.

Multiply (x - 6)(x - 7)

x² + 13x + 13

x² + x - 13

x² - 13x + 42

18.

Multiply (2x + 3)(3x + 4)

6x² + 17x + 7

6x² + 17x + 12

6x² + 1x + 12

19.

Find the product.

$\left(p\ -\ 8\right)^2$

p ² − 16p − 64

p ² + 16p + 64

p ² − 16p − 8

p ² − 16p + 64

20.

Find the product: $\left(n\ -\ 5\right)\left(n\ -\ 1\right)$

n² - 5n + 5

n² - 6n + 5

n²+ 5

n² + 6n + 5

21.

Find the product:

$\left(x\ +\ 4\right)^2$

x²+16

x²-16

x²+8x+16

x²+8x-16

22.

Simplify:
3x(5x² - 7x - 8)

x² - 19x - 2x

15x³ - 21x² - 24x

6x³ + 7x² - 13x + 8

5x³ - 19x² - x - 8

23.

Simplify the expression.
-3x²( 7x²- x + 4)

-21x⁴ + 3x³ -12x²

7x² - x + 4 (-3x²)

21x⁴+ 3x³+ 12x²

-12x²+ 3x³-21x⁴

24.

Simplify:
2x (-2x - 3)

-4x - 3

x² - 3

-4x² - 6x

-4x - 6

25.

Simplify:
5(3x+2)

3x+10

15x+10

15x-10

3x-10

26.

Use Distributive Property to solve.

x³(2x²+3x)

2x⁵+3x⁴

2x⁶+3x³

5x⁹

27.

4a(5a²- a + 4)

20a³- 4a²+ 16a

20a²- 5a + 8a

20a²+ 4a²+ 16a

20a³+3a² + 16a

28.

Factor:
56a³-8a

8a²(56a³-8a)

8a(7a²-1)

8a(7a³-a)

8a²(35a²-a)

29.

Factor:

2n²-8n³

2n²(n-4n²)

2n²(1-4n)

2n³(10-8n²)

3n(1-4n)

30.

Factor:

80x⁵-70x²-60x⁷

2x²(80x³-70-60x⁶)

10x²(80x⁴-70x-60x⁶)

10x²(8x³-7-6x⁵)

3x²(80x³-40-60x⁵)

31.

Factor
10x² + 15x-5

25(10x³+45x-15)

5(2x³ + 3x²-x)

x(10x³+15x-5)

5(2x²+3x-1)

32.

Factor
4b⁵+4b³+16b²

4b³(b⁴+b²+4b)

4b³(b⁴+4b+5)

4(b⁵+b³+4b²)

4b²(b³+b+4)

33.

Factor:
p² - 14p

p(1 - 14)

2p(p - 7)

p²(1-14)

p(p - 14)

34.

6v(2v + 3)

12v+18

15v² + 8v

12v² + 18v

12v² + 18v²

35.

Factor Completely
12x²-36x+24

2(6x²-18x+12)

4(3x²-9x+6)

12(x²-3x+2)

Prime

36.

Find the greatest common factor.
55a⁴b³+20a³b²-5a²b
HINT: What is the smallest exponent on a and b?

5a²b

5ab²

5a⁶b³

37.

Find the greatest common factor. 6x⁴y³-12x⁴y²+6x³y²
HINT: Does 12 divide by 6 (the smallest coefficient)? How many of each letter can you take out evenly?

6xy

6x³y²

6x⁹y⁶

38.

Factor
4b⁵+4b³+16b²

4b³(b⁴+b²+4b)

4b³(b⁴+4b+5)

4(b⁵+b³+4b²)

4b²(b³+b+4)

39.

Factor by GCF:
17xy - x

17(xy - x)

y(17x - x)

x(17y - 1)

not factorable

40.

What is the greatest common factor of the monomials a²b⁵ and a³b³

a²b³

a²b⁵

a³b³

a³b⁵

41.

What is the Greatest Common Factor of the following polynomial?
12t³ + 30t² + 48t

12t

6t³

12t³

42.

Find the greatest common factor of
6x⁴y³- 12x⁴y²+ 6x³y²

6xy

6x³y²

6x⁹y⁶

43.

What is the GCF of 18k and 15k³

3k²

3k³

44.

What is the GCF? 5x²+20x

20x

45.

What is the GCF? 2x²-4x+8

46.

Factor by using GCF:
10x² + 15x-5

25(10x³+45x-15)

5(2x³ + 3x²-x)

x(10x³+15x-5)

5(2x²+3x-1)

47.

Factor by using GCF:
8n³ + 2n²

2n²(4n-1)

2n²(4n + 1)

n²(8n+2)

3n(4n+1)

48.

Factor:
10x + 15

100x + 150

10(x + 5)

1(10x + 15)

5(2x + 3)

49.

Factor 18x + 30 using the GCF

2(9x + 15)

3 ( 6x + 10)

9 ( 2x + 3)

6 ( 3x + 5)

50.

Factor by GCF:

6m² + 16m

2(3m² + 8m)

2m(3m + 8)

2m(3m - 8m)

Prime

100 %

FOIL/FACTOR Practice

Total questions: 50

Worksheet time: 3hrs 26mins

Similar Resources on Wayground