Free Printable Pre-Assessment [Grade 8 Mathematics]

1.

Which mathematical statement is NOT correct?

a)

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

b)

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

c)

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

d)

$\left(2x+5\right)^2=4x^2+20x+25$

2.

Which of the following DOES NOT belong to the group?

a)

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

b)

$x^2-0.0001y^4$

c)

$8\left(x-1\right)^3-27$

d)

$\left(x+1\right)^4-4x^6$

3.

Which of the following gives a product of

x^2+5x+4

a)

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

b)

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

c)

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

d)

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

4.

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?

a)

$x^2-y^2$

b)

$x^2+2xy+y^2$

c)

$x^2-2xy+y^2$

d)

$x^3-y^3$

5.

Find the missing terms:

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

a)

$6,4\$

b)

$4,6$

c)

$8,3$

d)

$12,2$

6.

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?

a)

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

b)

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

c)

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

d)

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

7.

One of the factors of

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

a)

$2a-3$

b)

$2a+3$

c)

$2a-8$

d)

$2a+8$

8.

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

a)

$\left(3x+2\right)\ units$

b)

$\left(2x+3\ units\right)$

c)

$\left(4x+9\right)\ units$

d)

$\left(4x+3\ units\right)$

9.

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?

a)

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

b)

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

c)

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

d)

Any relationship cannot be determined from the given information.

10.

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?

a)

4x^2-9

b)

$4x^2+2x-9$

c)

$4x^2-8x-9$

d)

$4x^2+9$

11.

Which value of x will make the largest area of the square with a side of 3x+2?

a)

$\frac{3}{4}$

b)

$0.4$

c)

$\frac{1}{3}$

d)

$0.15$

12.

Your classmate was asked to square $\left(2x-3\right),$ he answered $4x^2-9.$ Is his answer correct?

a)

Yes, because squaring a binomial always produces a binomial product.

b)

Yes, because the product rule is correctly applied.

c)

No, because squaring a binomials always produces a trinomial product.

d)

No, because the answer must be $4x^2+9$

13.

let $A:4x^2-81,\$

and let $B:\ \left(2x-9\right)\left(2x+9\right).$ If $x=2,$ which statement is true about A and B?

a)

$A>B$

b)

$A<B$

c)

$A=B$

d)

$A\ne B$

14.

Your sister plans to remodel her closet. She hired a carpenter to do the task. What should your sister do so that carpenter can accomplish the task according to what she wants?

a)

Show a replica of a closet.

b)

Download a picture from the internet.

c)

Leaver everything to the carpenter.

d)

Provide the layout drawn to scale.

15.

Which of the following standards should best apply in checking in the carpenter's work in item number 14?

a)

accuracy of measurements and wise utilization of materials.

b)

accuracy of measurements and workmanship.

c)

workmanship and artistic design.

d)

workmanship and wise utilization of materials.

Pre-Assessment [Grade 8 Mathematics]

Total questions: 15

Worksheet time: 53mins

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