3. 1. The GCF of 20𝑏2 − 15𝑐2 is 5. What
is the other factor?
A. 𝑏2 − 𝑐2
B. 4𝑏2 − 3𝑐2
C. 4𝑏 − 3𝑐
D. 144𝑏2 − 108𝑐2
4. 1. The GCF of 20𝑏2 − 15𝑐2 is 5. What
is the other factor?
A. 𝑏2 − 𝑐2
B. 4𝑏2 − 3𝑐2
C. 4𝑏 − 3𝑐
D. 144𝑏2 − 108𝑐2
5. 2. Which of the following is a rational
algebraic expression?
A.
2𝑥
0
B.
𝑥
15
C.
𝑥1/2
3
D.
−11𝑚
4𝑚
6. 2. Which of the following is a rational
algebraic expression?
A.
2𝑥
0
B.
𝑥
15
C.
𝑥1/2
3
D.
−11𝑚
4𝑚
7. 3. What is the simplest form of
6𝑥5
9𝑥4?
A.
4
6
B.
4𝑥
6
C.
2
3
D.
2𝑥
3
8. 3. What is the simplest form of
6𝑥5
9𝑥4?
A.
4
6
B.
4𝑥
6
C.
2
3
D.
2𝑥
3
9. 4. What point is found on Quadrant
III?
A. 𝐻
B. 𝐵
C. 𝑂
D. 𝐴
10. 4. What point is found on Quadrant
III?
A. 𝐻
B. 𝐵
C. 𝑂
D. 𝐴
11. 5. What is the coordinate of point H?
A. (3, 3)
B. ( − 3, 3)
C. (3, − 3)
D. ( − 3, − 3)
12. 5. What is the coordinate of point H?
A. (3, 3)
B. ( − 3, 3)
C. (3, − 3)
D. ( − 3, − 3)
13. 6. Which of the following is a graph of
a linear equation?
14. 6. Which of the following is a graph of
a linear equation?
A
15. 7. What is the slope of the equation
𝑦 = − 2(𝑥 − 7)?
A. 14
B. − 14
C. 2
D. − 2
16. 7. What is the slope of the equation
𝑦 = − 2(𝑥 − 7)?
A. 14
B. − 14
C. 2
D. − 2
17. 8. What is the slope of the line that
passes through points (−2, −7) and (5,
0)?
A. 1
B. − 7/3
C. 7/3
D. 0
18. 8. What is the slope of the line that
passes through points (−2, −7) and (5,
0)?
A. 1
B. − 7/3
C. 7/3
D. 0
19. 9. Which is the equation of the given
graph below?
A. y = x
B. y = 1/2x
C. y = 2x
D. y = – 2x
20. 9. Which is the equation of the given
graph below?
A. y = x
B. y = 1/2x
C. y = 2x
D. y = – 2x
21. 10. What kind of system of linear equations
in two variables has infinite number of
solutions and whose graph consists of
coinciding lines?
A. 𝑑𝑒𝑝𝑒𝑛𝑑𝑒𝑛𝑡
B. 𝑖𝑛𝑑𝑒𝑝𝑒𝑛𝑑𝑒𝑛𝑡
C. 𝑖𝑛𝑐𝑜𝑛𝑠𝑖𝑠𝑡𝑒𝑛𝑡
D. 𝑑𝑒𝑛𝑢𝑚𝑒𝑟𝑎𝑏𝑙𝑒
22. 10. What kind of system of linear equations
in two variables has infinite number of
solutions and whose graph consists of
coinciding lines?
A. 𝑑𝑒𝑝𝑒𝑛𝑑𝑒𝑛𝑡
B. 𝑖𝑛𝑑𝑒𝑝𝑒𝑛𝑑𝑒𝑛𝑡
C. 𝑖𝑛𝑐𝑜𝑛𝑠𝑖𝑠𝑡𝑒𝑛𝑡
D. 𝑑𝑒𝑛𝑢𝑚𝑒𝑟𝑎𝑏𝑙𝑒
24. 11. Which is TRUE about of 8𝑚2
− 24𝑚?
A. The greatest common factor is 8𝑚
B. It is in its simplest form
C. It can be factored as 8 𝑚 − 3
D. It is the difference of two squares
25. 11. Which is TRUE about of 8𝑚2
− 24𝑚?
A. The greatest common factor is 8𝑚
B. It is in its simplest form
C. It can be factored as 8 𝑚 − 3
D. It is the difference of two squares
26. 12. Which of the following is the slope –
intercept form of the equation 10x + 2y =
5? A. y = − 5x + 5
B. y = − 5x + 5/2
C. y + 10x = 5/2
D. y + 5x = 5/2
27. 12. Which of the following is the slope –
intercept form of the equation 10x + 2y =
5? A. y = − 5x + 5
B. y = − 5x + 5/2
C. y + 10x = 5/2
D. y + 5x = 5/2
28. 13. Given the points (2, 4) and (4, 6),
how will be its graph be described?
A. leaning to the left
B. leaning to the right
C. horizontal
D. vertical
29. 13. Given the points (2, 4) and (4, 6),
how will be its graph be described?
A. leaning to the left
B. leaning to the right
C. horizontal
D. vertical
30. 14. If the slope of the line is – 2/0, the
line will pass through which point?
A. (2, 0)
B. (–2, 0)
C. (0, 2)
D. (0, –2)
31. 14. If the slope of the line is – 2/0, the
line will pass through which point?
A. (2, 0)
B. (–2, 0)
C. (0, 2)
D. (0, –2)
32. 15. Find the equation of the line that
has a slope of 4 and a y-intercept of 8.
A. y = 1/4x + 8
B. y = 4x + 8
C. y = – 4x – 8
D. y = – 4x + 1/8
33. 15. Find the equation of the line that
has a slope of 4 and a y-intercept of 8.
A. y = 1/4x + 8
B. y = 4x + 8
C. y = – 4x – 8
D. y = – 4x + 1/8
35. 16. Is (5, 1) a solution to system of
linear equations x + 3y = 8 and 2x – y =
9?
A.Yes, because it satisfies both equations
B. No, because it does not satisfy both
equations
C. Yes, because it satisfies only one equation
D. It can not be determined
36. 16. Is (5, 1) a solution to system of
linear equations x + 3y = 8 and 2x – y =
9?
A.Yes, because it satisfies both equations
B. No, because it does not satisfy both
equations
C. Yes, because it satisfies only one equation
D. It can not be determined
37. 17. Given the equations x + y = – 3 and
3x + 3y = –9, which statement is TRUE?
A. The two lines are coinciding.
B. The y – intercepts of the lines is – 3 and – 9.
C. The graph of the line is an independent
system.
D. The slopes of the line are 1 and 3, respectively.
38. 17. Given the equations x + y = – 3 and
3x + 3y = –9, which statement is TRUE?
A. The two lines are coinciding.
B. The y – intercepts of the lines is – 3 and – 9.
C. The graph of the line is an independent
system.
D. The slopes of the line are 1 and 3, respectively.
39. 18. The area of a square is 4x2 + 12x + 9
square units. Which expression
represents the length of its side?
A. 2x – 3 units
B. 2x + 3 units
C. 4x + 9 units
D. 4x + 3 units
40. 18. The area of a square is 4x2 + 12x + 9
square units. Which expression
represents the length of its side?
A. 2x – 3 units
B. 2x + 3 units
C. 4x + 9 units
D. 4x + 3 units
41. 19. Mark and Mary went to the canteen for
recess. Mary bought 4 pieces of turon costing P5
each. Mark bought the same snack. If the total
they paid is P50, how many pieces of turon did
Mark buy? A. 4
B. 6
C. 8
D. 10
42. 19. Mark and Mary went to the canteen for
recess. Mary bought 4 pieces of turon costing P5
each. Mark bought the same snack. If the total
they paid is P50, how many pieces of turon did
Mark buy? A. 4
B. 6
C. 8
D. 10
43. 20. Kim was asked to simplify
x2 − 4x + 4
x2 − 4
. her solution is
shown below. What makes her solution wrong?
A. The factors of 𝑥2
– 4 in step 1 must be
(x – 2)(x – 2)
B.Crossing out x – 2 on step 1.
C.Crossing out the variable x on step 2.
D. Dividing – 2 by 2 in step 3.
Step 1 Step 2 Step 3
𝑥2 − 4𝑥 + 4
𝑥2 − 4
=
(𝑥 − 2)(𝑥 − 2)
(𝑥 − 2)(𝑥 + 2)
=
(𝑥 − 2)
(𝑥 + 2)
=
− 2
2
= 2
44. 20. Kim was asked to simplify
x2 − 4x + 4
x2 − 4
. her solution is
shown below. What makes her solution wrong?
A. The factors of 𝑥2
– 4 in step 1 must be
(x – 2)(x – 2)
B. Crossing out x – 2 on step 1.
C. Crossing out the variable x on step 2.
D. Dividing – 2 by 2 in step 3.
Step 1 Step 2 Step 3
𝑥2 − 4𝑥 + 4
𝑥2 − 4
=
(𝑥 − 2)(𝑥 − 2)
(𝑥 − 2)(𝑥 + 2)
=
(𝑥 − 2)
(𝑥 + 2)
=
− 2
2
= 2
