Math 8 Reviewer.pdf

INGENIUM SCHOOL​Junior High School Department SY 2018-2019   Math 8 Review Quiz

Name: ____________________________________________________________________ Section: ___________________________________________ Date: ___________________ OPERATIONS ON POLYNOMIAL Perform the indicated operation. 1. 3x3+4x2-2x+1+2x3-4x2+x+4 I.

2.

15x3-8y3+6y2-5y3+8x3-12y2

3.

x2y2+5x2y-7xy-(-x2y2-3xy2+2xy)

4.

12mn 4m2+5n2-6

5.

12a4b3×16a2b2

6.

4x3-4x2-21x-9÷x+1

7.

(8y3-36y2+54y-27)÷(2y-3)

II.

Solve the problem.

1.

A sphere of volume ​(-21p3-200p2q+337pq2-44q3)​ cubic units was melted to form a cuboid of height ​(3p-4q)​ units.

Find the area of the base of the cuboid. B. What would the base area of the cuboid be, if its height was ​(q-7p)​? A.

FACTORIZING ALGEBRAIC EXPRESSIONS III. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

Factorize the following. 15a2-10a 12x2y+14xy2-6xy ​x2+7x+10 a2+11a+1 ​ 8 2x2-7x-4 2x2-13x+15 y2-10y+21 3y3-18y2+27y 8x2+17x+2 3x2-5x-2

FACTORIZING USING IDENTITIES 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

IV.

1.

x2+12x+36 m2-22m+121 4x2+12x+9 81a2-121 d8-144 27x3+8 ​a6-b3 f3-g3h3 256x2+416xy+169y2 8a3b627+1331c6

Solve the problem.

Mr. Macuha owns a rectangular plot of land of area ​(36p2q2+250pq+600)​ ​km2​. He would like to convert it into a farm in a square shape. What is the least possible area of the surrounding land he should buy to convert his existing rectangular plot into square plot.