Distributive Property

10-5 Using the Distributive Property

Wednesday, November 4 / 2020

Open Ended

Write a verbal expression for the algebraic expression

$$3m^2+9$$  

Multiple Choice

Factorise: 12x² + 15x

• 6x(2x+3)
• 3(x²+5x)
• 4x(3x+5)
• 3x(4x+5)

Multiple Choice

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Multiple Choice

Expand and Simplify 2(x+2)+5(x+3)

• 6x+13

• 5x+17

• 7x+19

• 8x+13

Multiple Choice

Factor
16x + 24x²

• 4x(2x + 6)
• 8x(2 + 3x)

Multiple Choice

Factorise completely

17x + 51x²

• x (17 + 51x²)

• 17x (1 + 3x)

• x² (17 +51x)

• x (17 +51x)

Multiple Choice

Factor: 6a²b³ + 9a³b² + 3a²b²

• 2ab(3a+2b+1)

• 3a²b²(2b+3a+1)

• 3a²b²(2b+3a+2)

• 2b+3a+1

Multiple Choice

30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Multiple Choice

x³-5x²+5x-25

• (x²-5)(x-5)

• (x²+5)(x-5)

• (x²+5)(x+5)

• (x²-1)(x-25)

Multiple Choice

2x³-8x²-x+4

• (2x²-1)(x-4)

• 2(x²-1)(x+4)

• (x²-1)(2x-4)

• (2x²+1)(x-4)

Multiple Choice

20x³-25x²+4x-5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)

Multiple Choice

7r³-8r²+42r-48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

Multiple Choice

Factor by grouping

2x³ - 8x² - x + 4

• (2x² - 1)(x - 4)

• 2(x² - 1)(x + 4)

• (x² - 1)(2x - 4)

• (2x² + 1)(x - 4)

Multiple Choice

Factor by grouping:

x³ + 7x² - 2x - 14

• (x² - 2)(x - 7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)

Multiple Choice

Factor by grouping

x³ - 4x² - 4x + 16

• (x + 4)(x + 2)

• (x - 4)(x² - 4)

• (x + 4)(x² - 4)

• (x - 4)(x - 2)

Multiple Choice

Determine if (3v - 7) is a factor of

3v² + 3v - 7v - 7.

• Yes, it is a factor.

• No, it is not a factor.