a.
6. The following methods could be used in solving for the value of t, except
a. extracting square roots
c. using quadratic formula
b. completing the square
d. factoring
7. What is the value of t?
a. llcm
b. 16cm
c. 9cm
d. 5cm
8. The length of rectangular floor is 5 meter longer than its width. The area of the floor is 84rn?. What is the length of
the rectangular floor?
b.12 m
c. 10m
d. 24m
9. The length of the garden is 2 meters more than twice its width and its area is 24m2. Which of the following
equations represents the given situation?
a. x²+x=12
b. x²+2x=12
c. x²+x=24
d. x2+2x=24
10. Mary and Carol are doing a Math project. Carol can do the work 2 hours longer as Mary. Of they work together,
they can finish the project in 4 hours. How long does it take Mary working alone to do the same project?
a. 6 hours
b. 4 hours
c. 8 hours
d. 10 hours
11. Which of the following mathematical statements is a quadratic inequality?
a. 2r-3r-5=0
b. 7h+12<0
C. 3+ +7t+220
d. 5+85+15=0
12. Which of the following is the correct interval notation
of the region in the number line at the right?
(4,6)
b. [4, 6)
c. (4, 6]
d. [4,6]
13. Which of the following is not true about quadratic inequality?
a. It always contains a linear expression
b. It contains a 2nd degree polynomial
c. Two sides of the inequality separated by <, >, sor
d. None of the above
14. Which of the following is in the form of quadratic inequality?
a. ax?+bx+c>0
b. bx+c 0
c. ax2+bx+c=0
d. bx+c=0
15. What is the solution of the quadratic inequality x++4x+350?
a. [-1.-4]
b. [3, -4]
C (-1,6]
d. [-3.-1]
For items 16-20.
Patricia's rectangular flower garden fence has to be replaced by a new one. She Side not to be replaced
bought 40 feet of metal fencing material to replace the fence on the three sides of her garden.
A tall wooden fence which serves as the fourth side was not to be replaced and remains as it is.
16. If x is the width of the garden in feet, represent the length of the garden (opposite of the side not to be replaced) in
terms of x.
a. 20-2x
b. 40-2x
c. 30-X
d. 40-X
17. Write the equation of the area of the garden (A) in terms of x
a. A=20-2x
b. A=40-2x
C. A=20x-2x2
d. A=40x-2x?
18. What inequality models "the width of the garden fence will give an area of at least 150 square feet"?
a. 1505-2x2+40x
b. 1502-2x2+40x c. 150540x2-2x
d. 150240x2-2x
19. What measure for the width will give an area of at least 150 square feet?
a. 5<x< 15
b. 5 2 x 15
C. 5 2x S 15
d. 5 5 x 15
20. What inequality models "the width of the garden fence will give the area of at most 200 square feet"?
a. 40x2-2x 5200
b.-2x2+40xs 200 c. 40x2-2x2200
d. -2x2+40x2200
C.​