Direction: Read each question carefully and encircle the letter of the correct answer. (ANY FORM OF ERASURE IS CONSIDERED WRONG.)
8. The simplest form of 8x y/10x’y’ is.
a. x/y
c. 4x/5xy
b. 4x/5y
d. 4x/y
9. Simplify the rational expression. x + 2
x-4
a. (x-2)/(x-2)
C. X+2/x-2
b. 1/(x-2)
d.x-2
1. What factoring technique should you use to solve for the factors of x²-16?
a. sum of cubes
b. sum of squares
c. difference of two square
d. difference of two cubes
10. The sum of 5 and 4 is
a-b a-b b. 1/a-b
a. 9/a-b
c. 20/(a – b)
d. 9/(a – b)2
11. What is the LCD of a/x2 and b/x³? a. x²
b. x
c. x d. x
2. If the area of a square garden is (x²-10x+25) square units, is it possible to find its sides?
a. Yes, using factoring difference of two squares?
b. No, one of the sides must be given
c. Yes, the area is a perfect square trinomial
d. No, the area is not factorable
12. The quotient of a/m” and a’/m² is.
a. a²/m
c. a/m
b. a³/m³
d. a/m³
13. The product of x²/10 and 15/x³ is a. 2/x
c. 3/2x
b. 3/x
d. 3x/2
3. The rectangle has an area of (x² + 7x+6) square meters. Which are the dimensions for the length and width of the rectangle?
a. (x+2) and (x+3) meters
b. (x-2) and (x-3) meters
c. (x+6) and (x + 1) meters
d. (x-6) and (x-1) meters
14.Adam can do a piece of work in 6 days.
Peter can do same job in 4 days. How much
time will take them to do the same job together?
a.
12/5 b. 5/12 c. 3/2 d. 2/3
4. A rectangular lawn is 2 meters longer than
its width. The area of the lawn is 24 square
meters. Find the length and width of the lawn.
a. W = 3m and L = 5m
b. W=4m and L = 6m
c. W = 5m and L = 7m d. W=6m and L = 8m
15. If the same number is added to both
numerator and denominator of the fraction
1/2, the result is 3/4. Find the number.
a. 3
b. 4.
c. 2
d. 5
5. The product of two consecutive integers is
90. Find the integers. a. -5 and -4 or 4 and 5
b. -13 and -12 or 12 and 13
c-10 and -9 or 9 and 10
d. -18 and -17 or 17 and 1
16. What is the Rectangular Coordinate
System?
a. It is used for naming points in a plane,
b. It is a plane used for graphing linear
functions.
c. It is used to determine the location of a
point by using a single number.
d. It is a two-dimensional plane which is
divided by the axes into four regions called
quadrants.
6. Which expression is not rational? a. 6/2x c. 4/x-x
b. m/8
d. 2x + 4y
17. Which points lies 3 units to the left of the
y-axis and 4 units above the x-axis? a. (4,-3) b. (-4, 3) c. (-3, 4) d. (3,-4)
7. Which statement is NOT true about Q in the rational algebraic expression P/Q?
a. Q is equal to zero
b. Q can be greater than zero c. Q can be less than zero
d. Q is not equal to zero
18. The graph of linear equation in two
variables is always a
a. Straight line b. Parabola
c. Curved line
d. None of these
Answer:
1. c. differences
2. a. Yes, using factoring difference.
3. a. (x+2) and (x+3) meters.
4. a. W =3m and L=5m.
5. b. –13 and –12 or 12 and 13
6. d. 2x+4y
7. b. Q can be greater than zero.
8. b. (4x)/(5)
9. c. (x+2)/(x-2)
10. b. 1/a-b
11. a. x²
12. a. a³m
13. b. 3/x
14. b. 5/12
15. a.3
16. d. It is a two- dimensional plane which is divided by the axes into four regions called quadrants.
17. b. (–4,3)
18. a. Straight line
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