1. What is the GCF of 2²−4−6²=2(−2−3²)?
a) 2 b) (−2−32) c)−4 d)2(−2−32)

2. Which of the following is a quadratic expression where a =1?
a) 4²−7−8 b) ²−5−280 c) 4²−9 d) 9²+−10

3. Factor 3−8.
a)(+2)(2−2+4) b)(−2)(2+2+4) c)(−5)(3+1) d)(3−5)(+1)

4. Factor the following expression: ²−3−18
a) (+6)(−3) b) (−6)(+3) c)(−6)(−3) d) (+6)(−4)

5. Factor the following expression: ²+8+12
a)(−6)(−2) b) (+6)(+2) c)(+4)(−3) d)(−4)(−3)

6. Richard earns (x2 – 16) pesos for working (x - 4) hours. How much does he earn per hour?
a. (x – 2) pesos b. (x + 2) pesos c. (x – 4) pesos d. (x + 4) pesos

7. George bought facemasks worth (24x + 40y) pesos. If he buys (3x + 5y) pieces of
facemasks, how much is the cost of each?
a. 4 pesos b. 8 pesos c. 6 pesos d. 10 pesos

8. The product of two numbers is (4y2 – 1). If one of the numbers is (2y + 1), what is the
other number?
a. (2y + 1) b. (4y + 1) c. (2y – 1) d. (4y – 1)
9. A man walks (12x2 + 11x + 2) km for (3x + 2) hours. What is his speed per hour?
a. (6x + 1) kph b. (4x – 1) kph c. (6x + 2) kph d. (4x + 1) kph

10. A vendor earns (16m2 – 2m – 3) pesos for selling (8m + 3) kilograms of mango.
How much does each kilogram of mango cost?
a. (2m + 1) pesos b. (4m + 3) pesos c. (2m – 1) pesos d. (4m + 1) pesos

11. In a rational algebraic expression written in the form of , where and are polynomials, the polynomial
must not be equal to ____.
a. 0 b. 1 c. 2 d. 3
12. What value of x will make the rational algebraic expression 5+3−6 undefined?
a. -6 b. - c. 6 d.
13. What is the value of the rational expression. when =1?
a. 2 b. 3 c. 4 d. 5
14. If Jed can accomplish the school activity in five hours while Vince can accomplish the same activity
in hours, which expressions below represents the rate of Jed and Vince working together?
a. 5+ b. −5 c. - d. +
15. The formula for finding the circumference of a circle is =2, where is the circumference and is the
radius of the circle. What is the formula in finding the radius of the circle given its circumference?
a. b. c. d. ​