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Mathematics

8th Grade

CCSS covered

Algebra Factorisation
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The factorisation of 4x + 16 is _______

4(x + 4)

4(x - 4)

x + 4

4x + 4

Tags

CCSS.7.EE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factorise

k2+7k+10

(k+2)(k+5)

(k-2)(k-5)

(k+10)(k+4)

(k+2)(k-5)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

factorise:

x2 - 25

( x + 5 ) ( x - 5 )

( x - 5 ) ( x - 5 )

( x + 5 ) ( x + 5 )

Prime

Tags

CCSS.HSA.APR.C.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Choose the correct answer:
The factorisation of 25x2y - 5xy is  

5xy (5x - 1)

5xy (5x + 1)

5xy (5x + 5)

5xy (x - y)

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Factor the following completely:

20x³ + 15x²

​ (a)   (​ (b)   )

5x²

4x + 3

15x

20x²

2x + 3

5x

4x² + 3

6.

DROPDOWN QUESTION

1 min • 1 pt

What two numbers when multiplied equals -56, but when you add them equals 1? CHOOSE TWO NUMBERS


(a)   (b)  

-7

8

-8

7

56

1

-56

-1

Tags

CCSS.HSA-REI.B.4B

7.

DROPDOWN QUESTION

1 min • 1 pt

Factor by grouping to find all real solutions to the equation 16x3−48x2−x+316x^3-48x^2-x+3 .

Step 1 - factor out GCF's: ​ (a)   (x-3)​ (b)   (x-3)

Step 2 - "commons & leftovers" : ​ (x-3) ​ (c)  

Step 3 - factor difference of squares: (x-3)​ (d)  

Step 4 - Solve: ​ (e)  

16x216x^2  

−1-1  

(16x2−1)\left(16x^2-1\right)  

(4x+1)(4x−1)\left(4x+1\right)\left(4x-1\right)  

x =3, ±14x\ =3,\ \pm\frac{1}{4}  

x=±3, ±4x=\pm3,\ \pm4

(8x+1)(2x−1)\left(8x+1\right)\left(2x-1\right)

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

+1+1

Tags

CCSS.HSF-IF.C.7C

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