Pre-Assessment [Grade 8 Mathematics]

Which mathematical statement is NOT correct?

• $\left(2x-y\right)\left(3x-y\right)=6x^2-5xy+y^2$

• $\left(4x-5\right)\left(4x-5\right)=16x^2-40x+25$

• $\left(3x-4\right)\left(2x+7\right)=6x^2-13x-28$

• $\left(2x+5\right)^2=4x^2+20x+25$

Which of the following DOES NOT belong to the group?

• 
  

  $\frac{1}{4}x^4-1$
  

• $x^2-0.0001y^4$

• $8\left(x-1\right)^3-27$

• $\left(x+1\right)^4-4x^6$

Which of the following gives a product of

 $x^2+5x+4$  

•  $\left(x+1\right)\left(x+4\right)$  

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

•  $\left(x+5\right)\left(x-1\right)$  

•  $\left(x+2\right)^2$  

A polynomial expression is evaluated for the x and y values shown in the table. Which expression gives the values shown in the third column?

• $x^2-y^2$

• $x^2+2xy+y^2$

• $x^2-2xy+y^2$

• $x^3-y^3$

Find the missing terms:

 $\left(x+\ \ \ \ \right)\left(3x+\ \ \ \right)=3x^2+27x+24$  

•  $6,4\$  

•  $4,6$  

•  $8,3$  

•  $12,2$  

The length of a box is five meters less than twice the width. The height is 4 meters more than three times the width. The box has a volume of 25 cubic meters. Which of the following equations can be used to find the height of the box?

• 
  

  $W\left(2L-5\right)\left(3H+4\right)=520$
  

• $W\left(2W+5\right)\left(3W-4\right)=520$

• $W\left(2W-5\right)\left(3W-4\right)=520$

• $W\left(2W-5\right)\left(3W+4\right)=520$

One of the factors of

 $2a^2+5a-12$  is  $a+4$ . What is the other factor?

•  $2a-3$  

•  $2a+3$  

•  $2a-8$  

•  $2a+8$  

The area of a square is $4x^2+12x+9$  square units. Which expression represents the length of the side?

•  $\left(3x+2\right)\ units$  

•  $\left(2x+3\ units\right)$  

•  $\left(4x+9\right)\ units$  

•  $\left(4x+3\ units\right)$  

The side of the square is x cm long. The length of a rectangle is 5cm longer than the side of the square and the width is 5cm shorter. Which statement is true?

• The area of the square is greater than the area of the rectangle.

• The area of the square is less than the area of the rectangle.

• The area of the square is equal to the area of the rectangle.

• Any relationship cannot be determined from the given information.

A square piece of land was rewarded by a landlord to his tenant. They agreed that a portion of it represented by the rectangle inside should be used to construct a grotto. How large is the area of land that is available for the other purposes?

• 
  

  $4x^2-9$
  

• $4x^2+2x-9$

• $4x^2-8x-9$

• $4x^2+9$