2nd QUARTER MATH 8

SPECIAL PRODUCTS/ FACTORING

100

Which expression is equivalent to (x+7) (x−7)?

𝑥² – 49

200

Which of the following shows the correct complete factorization of 𝑥²– 8x + 16?

(x−4) (x−4) or (x-4)²

300

Which of the following is the correct complete factorization of 2𝑥²y+ 6xy

2xy (x + 3)

400

A rectangular field has an area of 𝑥² + 9x + 14. To fence it efficiently, a farmer needs to find its dimensions. What are the factors of the area?

(x + 7) (x + 2)

500

A company designs a square signboard with side  (2𝑥+5) meters. What is its area? A= s²

4𝑥² + 20x + 25 m²

RATIONAL EXPRESSION

100

Given Rational Expression (x+2)/(x-3), if x = 3, Evaluate.

Undefined

200

A car travels at 60/x hours on one route and 40/x hours on another. What is the total travel time?

100/x

300

Simplify: (x²+5x+6)/ (x²+7x+10)

(x+3)/ (x+5)

400

Divide: (x+3)/(x+2) ÷ (5x)/(x+2)

(x+3) / 5x

500

The ratio of the height to the shadow of a flagpole is h/12=6/4 . Find the height of the flagpole.

h = 18

CARTESIAN COORDINATE SYSTEM

100

What do you call the point whose coordinates are (0,0)

Origin

200

What are the two lines that form the Cartesian plane called?

x-axis and y-axis

300

A designer plots a point representing the corner of a digital image at (4, –6). In which quadrant is the point located?

Quadrant IV

400

Plotting the point (0, –6), where is its location in the Cartesian Plane?

y-axis

500

If point A(–2, 3) and point B(4, 3) are plotted, what type of line connects them — vertical, horizontal, or diagonal?

Horizontal

SEQUENCE & PATTERN

100

What is the common difference in this sequence: 2, 4, 6, 8, 10, … ?

d = 2

200

Identify if this sequence is arithmetic or geometric: 3, 6, 12, 24, …

GEOMETRIC (r=2)

300

What is the next 3 terms in the sequence 5, 10, 20, 40...

80, 160, 320

400

Find the 10th term of the arithmetic sequence where a₁=4 and d=5.

FORMULA: a_n= a+(n-1)(d)

49

500

In a geometric sequence, a₁=2 and r=3. What is the 5th term?

FORMULA: a_n=a * r^n-1

162