Algebra Test For 8th Grade

ALGEBRA TEST  FOR 8^th GRADE 

[ IDENTITIES ]

Answers are provided at the end of the test

Qn 1 :

Simplify:   (a + b)(a² -  ab  +  b²)

[A] a³ + b³

[B] a³ – b³

[C] a³ – 2a²b² + b³

[D] a³ + a²b²  - b³

Qn 2 :

(x + 1)(x – 1)(x² + 1) =  .......................

[A] x⁴ - 1

[B] x⁴ – 2x² + 1

[C] x⁴ + x² + 1

[D] x⁴ + 1

Qn 3 :

Factorize :     x² – 7x – 60

[A] (x – 12)(x + 5)

[B] (x + 6)(x - 10)

[C] (x - 20)(3 - x)

[D] (x - 15)(x + 4)

Qn 4 : 

Which of the following expressions  is of the form,  (a + b)²  ?

[A] x²+ 4

[B] p²q² + 4pq + 16

[C] x² + x + 1/4

[D] y² + 20y - 100

Qn 5 : 

The area of a square is a² – 8ab + 16b² square units.  Which of the following expressions will denote the perimeter of this square   ?

[A] 4a – 16b

[B]  a – 8b

[C] 4a – 8b

[D] 4a – 4b

 

Qn 8 :

Factorise :  ps + qr – pr - qs

[A] (p + q)(s - r)

[B] (p – q)(s + r)

[C] (p – q)(r – s)

[D] (p – q)(s – r)

Qn 9 :  

 If x² + 12x + 40 can be written in the form,  (x + p)² = q , then the value of p and the value of q are ..........

[A] p = 8 ;  q = 6

[B] p = 9 ;  q = 4

[C] p = 10 ;  q = 3

[D] p = 6 ;  q = 4

Qn 10 :

The sum of the binomial factors of the expression,  6x² – 7x – 3  is .............

[A] 7x + 11

[B] 7x - 2

[C] 6x + 3

[D] 5x - 2

============================

ANSWERS:

Qn 1 :  A

Qn 2 :  A

Qn 3 :  A

Qn 4 :  C

Qn 5 :  A

Qn 6 :  A

Qn 7 :  C

Qn 8 :  D

Qn 9 :  D

Qn10:  D

+++++++++++++++++++++++++++

Thank you for attempting this test

I am a math teacher by profession and has  many years of experience in teaching maths in various countries . Currently I am involved in giving online math tuition to students all over the world

I teach from 4th to 12th Grade. If you need a private tutor for your child, you can contact me.

My Skype name : georgeignatius9
G-mail ID : georgeignatiusxx@gmail.com
Tel : +914812790195

Fee : US $ 5.50 - 7.50, depending on the class taught
Tags:

A Demo lesson will be offered free upon request .

++++++++++++++++++++++++++++++++++++++++++