BATTLE OF PEER TUTORS (GRADE 8)

SPECIAL PRODUCTS AND FACTORING

100

In factoring, it is the common term having the greatest numerical factor and with variables having the least degree.

Greatest Common Factor

200

Calculate:

203² – 197²

2400

300

Factor completely:

14x³ - 19x² - 3x

x (7x+1)(2x-3)

400

Find the length of a side of a square lot if its area is (9x² + 30x + 25) square meters.

s = (3x+5) meters

500

Find the volume of the cube whose edge is (2 + 3x) cm.

V = (8 + 36x + 54x² +27x³ ) cm³

CONDITIONAL STATEMENTS

100

  Write the converse: “If I eat apples, the doctor does not come.”

If the doctor does not come, then I eat apples.

200

Translate: A number divisible by 2 is even. 

If a number is divisible by 2, then it is even.

300

Write the biconditional statement of: A polygon with four sides is a quadrilateral.

A polygon has only four sides if and only if a polygon is quadrilateral.

400

What is the truth value of a conditional statement if the hypothesis is true and the conclusion is false?

FALSE

500

What is the contrapositive of P -> ~Q?

Q -> ~P

TRIANGLES

100

In triangle SET, what is the included angle between SE and E?

Angle E

200

State the postulate/ theorem being described in the statement. If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

SAA or AAS Theorem

300

Triangle ABC has sides AB = 6, BC = 7, and AC = 8. What is the largest angle?

Angle B

400

Triangle TWO is congruent to Triangle SNE, angles W and N are right angles, and m<T = 35. Find the measure of angle E.

<E = 55^o

500

Triangle ESP is congruent to Triangle DIR. The measure of angle E is 35^o , angle I is 65^o , and angle R is 2x + 32. Find the value of x.

x = 24

LINEAR EQUATION/FUNCTION

100

It is the ratio of y-coordinates and x-coordinates; also known as the steepness of a line.

Slope

200

Express 2x-3y+6=0 in slope-intercept form.

y = 2/3 x + 2

300

Describe the solution and the graph of the given system of linear equations: 

{x - y = 3 

 x + y = 5

One solution, Intersecting lines

400

Evaluate:  f(x) = -1/3x³ + 2x² - 1

if x=-2

f(-2) = 29/3

500

A piggy bank contains Php 118 worth of coins in 1-peso and 5-peso denominations. The number of 5-peso coin is two more than the number of 1-peso coin. How many coins of each kind does the piggy bank contain?

18 1-peso coin

20 5-peso coin

CLINCHER

100

Compute mentally 

(34)(26)

884

200

What is the measure of angle P in Triangle PQR, if angle Q is 70 and angle R is a right angle?

20 degrees

300

Find the greatest common factor of: -8x²y and 16xy

The GCF is 8xy

400

What is the slope of a line that passes through (-1,5) and (2,5) ? 

m = 0 / zero slope

500

Describe the graph of a line with a rise of -3 and a run of 0.

Undefined