SSS2 Math Lesson 11 Examination- Algebraic Processes - Part (3) - (Linear inequalities)

Factorize: x² + 7x + 12

(x + 2)(x + 6)

Correct Incorrect Correct answer

(x + 3)(x + 4)

Correct Incorrect Correct answer

(x + 1)(x + 12)

Correct Incorrect Correct answer

(x + 7)(x + 5)

Correct Incorrect Correct answer

Factorize: y² – 5y – 14

(y + 2)(y – 7)

Correct Incorrect Correct answer

(y – 2)(y + 7)

Correct Incorrect Correct answer

(y + 1)(y – 14)

Correct Incorrect Correct answer

(y – 1)(y + 14)

Correct Incorrect Correct answer

Factorize: 3p² + 14p + 8

(3p + 2)(p + 4)

Correct Incorrect Correct answer

(3p + 4)(p + 2)

Correct Incorrect Correct answer

(3p + 1)(p + 8)

Correct Incorrect Correct answer

(3p + 8)(p + 1)

Correct Incorrect Correct answer

Factorize: 2z² – 11z + 12

(2z – 3)(z – 4)

Correct Incorrect Correct answer

(2z – 4)(z – 3)

Correct Incorrect Correct answer

(2z – 2)(z – 6)

Correct Incorrect Correct answer

(2z – 6)(z – 2)

Correct Incorrect Correct answer

Factorize: 5a² + 16a + 3

(5a + 1)(a + 3)

Correct Incorrect Correct answer

(5a + 3)(a + 1)

Correct Incorrect Correct answer

(5a + 2)(a + 2)

Correct Incorrect Correct answer

(5a + 4)(a + 1)

Correct Incorrect Correct answer

Factorize: n² – 10n + 24

(n – 4)(n – 6)

Correct Incorrect Correct answer

(n – 3)(n – 8)

Correct Incorrect Correct answer

(n – 2)(n – 12)

Correct Incorrect Correct answer

(n – 1)(n – 24)

Correct Incorrect Correct answer

Factorize: 4x² + 12x + 9

(2x + 3)²

Correct Incorrect Correct answer

(2x – 3)²

Correct Incorrect Correct answer

(4x + 3)(x + 3)

Correct Incorrect Correct answer

(4x – 3)(x – 3)

Correct Incorrect Correct answer

Factorize: 9y² – 24y + 16

(3y + 4)²

Correct Incorrect Correct answer

(3y – 4)²

Correct Incorrect Correct answer

(9y – 4)(y – 4)

Correct Incorrect Correct answer

(9y + 4)(y + 4)

Correct Incorrect Correct answer

Factorize: b² – 49

(b + 7)²

Correct Incorrect Correct answer

(b – 7)²

Correct Incorrect Correct answer

(b + 7)(b – 7)

Correct Incorrect Correct answer

Prime

Correct Incorrect Correct answer

Factorize: 4m² – 1

(2m + 1)²

Correct Incorrect Correct answer

(2m – 1)²

Correct Incorrect Correct answer

(2m + 1)(2m – 1)

Correct Incorrect Correct answer

(2m+2)(2m+3)

Correct Incorrect Correct answer

Factorize: c² + 12c + 35

(c + 5)(c + 7)

Correct Incorrect Correct answer

(c + 1)(c + 35)

Correct Incorrect Correct answer

(c + 2)(c + 18)

Correct Incorrect Correct answer

(c + 3)(c + 12)

Correct Incorrect Correct answer

Factorize: 2d² – 9d – 5

(2d + 1)(d – 5)

Correct Incorrect Correct answer

(2d – 1)(d + 5)

Correct Incorrect Correct answer

(2d + 5)(d – 1)

Correct Incorrect Correct answer

(2d – 5)(d + 1)

Correct Incorrect Correct answer

Factorize: 6w² + 5w – 4

(3w + 4)(2w – 1)

Correct Incorrect Correct answer

(3w – 4)(2w + 1)

Correct Incorrect Correct answer

(6w + 1)(w – 4)

Correct Incorrect Correct answer

(6w – 1)(w + 4)

Correct Incorrect Correct answer

Factorize: x² – 16x + 63

(x – 7)(x – 9)

Correct Incorrect Correct answer

(x + 7)(x + 9)

Correct Incorrect Correct answer

(x – 3)(x – 21)

Correct Incorrect Correct answer

(x + 3)(x + 21)

Correct Incorrect Correct answer

Factorize: 3y² + 2y – 8

(3y + 4)(y – 2)

Correct Incorrect Correct answer

(3y – 4)(y + 2)

Correct Incorrect Correct answer

(3y + 2)(y – 4)

Correct Incorrect Correct answer

(3y – 2)(y + 4)

Correct Incorrect Correct answer

Factorize: 2p² – 7p – 4

(2p + 1)(p – 4)

Correct Incorrect Correct answer

(2p – 1)(p + 4)

Correct Incorrect Correct answer

(2p + 4)(p – 1)

Correct Incorrect Correct answer

(2p – 4)(p + 1)

Correct Incorrect Correct answer

Factorize: 5z² + 9z – 2

(5z + 1)(z – 2)

Correct Incorrect Correct answer

(5z – 1)(z + 2)

Correct Incorrect Correct answer

(5z + 2)(z – 1)

Correct Incorrect Correct answer

(5z – 2)(z + 1)

Correct Incorrect Correct answer

Factorize: r² – 11r + 28

(r – 4)(r – 7)

Correct Incorrect Correct answer

(r + 4)(r + 7)

Correct Incorrect Correct answer

(r – 2)(r – 14)

Correct Incorrect Correct answer

(r + 2)(r + 14)

Correct Incorrect Correct answer

Factorize: 4s² – 25

(2s + 5)²

Correct Incorrect Correct answer

(2s – 5)²

Correct Incorrect Correct answer

(2s + 5)(2s – 5)

Correct Incorrect Correct answer

Prime

Correct Incorrect Correct answer

Factorize: 9t² – 30t + 25

(3t + 5)²

Correct Incorrect Correct answer

(3t – 5)²

Correct Incorrect Correct answer

(9t – 5)(t – 5)

Correct Incorrect Correct answer

(9t + 5)(t + 5)

Correct Incorrect Correct answer

Solve the equation: 3x² + 8x – 3 = 0

x = -1, x = 3/8

Correct Incorrect Correct answer

x = 3, x = -1/3

Correct Incorrect Correct answer

x = 1, x = -3/8

Correct Incorrect Correct answer

x = -3, x = 1/3

Correct Incorrect Correct answer

Solve the equation: 2y² – 7y + 6 = 0

y = 2, y = 3/2

Correct Incorrect Correct answer

y = -1, y = -6/7

Correct Incorrect Correct answer

y = 1, y = 6/7

Correct Incorrect Correct answer

y = -2, y = -3/2

Correct Incorrect Correct answer

Solve the equation: 5p² – 16p + 3 = 0

p = -1, p = -3/5

Correct Incorrect Correct answer

p = 1, p = 3/5

Correct Incorrect Correct answer

p = 1/5, p = 3

Correct Incorrect Correct answer

p = -1/5, p = -3

Correct Incorrect Correct answer

Solve the equation: 4z² + 5z – 6 = 0

z = -2, z = 3/4

Correct Incorrect Correct answer

z = 1, z = -6/5

Correct Incorrect Correct answer

z = -1, z = 6/5

Correct Incorrect Correct answer

z = 2, z = -3/4

Correct Incorrect Correct answer

Solve the equation: 2a² + 3a – 2 = 0

a = -2, a = 1/2

Correct Incorrect Correct answer

a = 1, a = -2/3

Correct Incorrect Correct answer

a = -1, a = 2/3

Correct Incorrect Correct answer

a = 2, a = -1/2

Correct Incorrect Correct answer

Solve the equation: n² – 9n + 20 = 0

n = 4, n = 5

Correct Incorrect Correct answer

n = -2, n = -10

Correct Incorrect Correct answer

n = 2, n = 10

Correct Incorrect Correct answer

n = -4, n = -5

Correct Incorrect Correct answer

Solve the equation: 3x² + 10x = 8

x = 2, x = -4/3

Correct Incorrect Correct answer

x = -4, x = 2/3

Correct Incorrect Correct answer

x = -2, x = 4/3

Correct Incorrect Correct answer

x = 4, x = -2/3

Correct Incorrect Correct answer

Solve the equation: 2y² – 5y = 12

y = 1, y = -12/5

Correct Incorrect Correct answer

y = 3/2, y = -4

Correct Incorrect Correct answer

y = -1, y = 12/5

Correct Incorrect Correct answer

y = -3/2, y = 4

Correct Incorrect Correct answer

Solve the equation: 9b² – 4 = 0

b = 2/3, b = -2/3

Correct Incorrect Correct answer

b = 3, b = -3

Correct Incorrect Correct answer

b = 2, b = -2

Correct Incorrect Correct answer

b = 3/2, b = -3/2

Correct Incorrect Correct answer

Solve the equation: m² + 6m + 9 = 0

m = 1

Correct Incorrect Correct answer

m = -3

Correct Incorrect Correct answer

m = -1

Correct Incorrect Correct answer

m = 3

Correct Incorrect Correct answer

Find the quadratic equation whose roots are 3 and -5.

x² – 8x + 15 = 0

Correct Incorrect Correct answer

x² + 8x + 15 = 0

Correct Incorrect Correct answer

x² + 2x – 15 = 0

Correct Incorrect Correct answer

x² – 2x – 15 = 0

Correct Incorrect Correct answer

Find the quadratic equation whose roots are 1/2 and -3/4.

4x² – x – 3 = 0

Correct Incorrect Correct answer

8x² – 5x – 3 = 0

Correct Incorrect Correct answer

8x² + 5x – 3 = 0

Correct Incorrect Correct answer

4x² + x – 3 = 0

Correct Incorrect Correct answer

Given that 2 and -1 are the roots of the equation 0 = ax² + bx + c. Find the values of a, b, and c where a, b, and c are the least possible integers.

a = 1, b = -1, c = -2

Correct Incorrect Correct answer

a = -1, b = -1, c = 2

Correct Incorrect Correct answer

a = -1, b = 1, c = 2

Correct Incorrect Correct answer

a = 1, b = 1, c = -2

Correct Incorrect Correct answer

Find the quadratic equation whose roots are -1/3 and 2/5.

6x² – x – 2 = 0

Correct Incorrect Correct answer

6x² + x – 2 = 0

Correct Incorrect Correct answer

15x² – x – 2 = 0

Correct Incorrect Correct answer

15x² + x – 2 = 0

Correct Incorrect Correct answer

Solve the equation: 6x² – 7x – 3 = 0

x = 1/2, x = -3/7

Correct Incorrect Correct answer

x = 1/3, x = -3/2

Correct Incorrect Correct answer

x = -1/3, x = 3/2

Correct Incorrect Correct answer

x = -1/2, x = 3/7

Correct Incorrect Correct answer

Solve the quadratic equation: 25t² – 36 = 0

t = 6/5, t = -6/5

Correct Incorrect Correct answer

t = 5/6, t = -5/6

Correct Incorrect Correct answer

t = 6, t = -6

Correct Incorrect Correct answer

t = 5, t = -5

Correct Incorrect Correct answer

Given that -1/4 and 3 are the roots of the equation 0 = ax² + bx + c. Find the values of a, b, and c where a, b, and c are the least possible integers.

a = 4, b = -11, c = -3

Correct Incorrect Correct answer

a = 4, b = 11, c = -3

Correct Incorrect Correct answer

a = -4, b = 11, c = 3

Correct Incorrect Correct answer

a = -4, b = -11, c = 3

Correct Incorrect Correct answer

Find the quadratic equation whose roots are 5 and -2/3.

3x² – 13x – 10 = 0

Correct Incorrect Correct answer

3x² + 13x – 10 = 0

Correct Incorrect Correct answer

3x² – 17x + 10 = 0

Correct Incorrect Correct answer

3x² + 17x + 10 = 0

Correct Incorrect Correct answer

Solve the equation: 8x² + 2x – 15 = 0

x = -5/4, x = 3/2

Correct Incorrect Correct answer

x = 5/4, x = -3/2

Correct Incorrect Correct answer

x = -3/4, x = 5/2

Correct Incorrect Correct answer

x = 3/4, x = -5/2

Correct Incorrect Correct answer

Solve the quadratic equation: 9t² + 12t + 4 = 0

t = -2/3

Correct Incorrect Correct answer

t = 2/3

Correct Incorrect Correct answer

t = -2

Correct Incorrect Correct answer

t = 2

Correct Incorrect Correct answer

In linear programming, the region that satisfies all constraints is called:

A) Feasible point

Correct Incorrect Correct answer

B) Infeasible point

Correct Incorrect Correct answer

C) Feasible region

Correct Incorrect Correct answer

D) Boundary line

Correct Incorrect Correct answer

A linear inequality in two variables represents:

A) A point

Correct Incorrect Correct answer

B) A half-plane

Correct Incorrect Correct answer

C) A line segment

Correct Incorrect Correct answer

D) A curve

Correct Incorrect Correct answer

The objective function in linear programming is used to:

A) Draw the constraints

Correct Incorrect Correct answer

B) Find intercepts

Correct Incorrect Correct answer

C) Maximize or minimize a quantity

Correct Incorrect Correct answer

D) Shade the region

Correct Incorrect Correct answer

The set of all solutions that satisfy the inequalities is called:

A) Graph

Correct Incorrect Correct answer

B) Solution set

Correct Incorrect Correct answer

C) Objective set

Correct Incorrect Correct answer

D) Constraint set

Correct Incorrect Correct answer

In linear programming, the constraints are usually represented by:

A) Curves

Correct Incorrect Correct answer

B) Straight lines

Correct Incorrect Correct answer

C) Circles

Correct Incorrect Correct answer

D) Parabolas

Correct Incorrect Correct answer

The optimal value of the objective function occurs:

A) Inside the feasible region

Correct Incorrect Correct answer

B) At a vertex (corner point) of the feasible region

Correct Incorrect Correct answer

C) Along the axis

Correct Incorrect Correct answer

D) At the origin

Correct Incorrect Correct answer

If a company makes two products \( x \) and \( y \) and wants to maximize profit \( P = 5x + 4y \), then \( P \) is:

A) Constraint

Correct Incorrect Correct answer

B) Objective function

Correct Incorrect Correct answer

C) Feasible region

Correct Incorrect Correct answer

D) Vertex

Correct Incorrect Correct answer

Which method is commonly used to solve linear programming problems in two variables?

A) Substitution method

Correct Incorrect Correct answer

B) Elimination method

Correct Incorrect Correct answer

C) Graphical method

Correct Incorrect Correct answer

D) Matrix method

Correct Incorrect Correct answer

In the inequality \( 2x + y \leq 10 \), the line \( 2x + y = 10 \) is:

A) Boundary of the region

Correct Incorrect Correct answer

B) Objective function

Correct Incorrect Correct answer

C) Vertex

Correct Incorrect Correct answer

D) Feasible region

Correct Incorrect Correct answer

In solving a linear programming problem, the point where two constraint lines meet is called:

A) Feasible point

Correct Incorrect Correct answer

B) Boundary point

Correct Incorrect Correct answer

C) Vertex

Correct Incorrect Correct answer

D) Interior point

Correct Incorrect Correct answer

SSS2 Math Lesson 11 Examination- Algebraic Processes – Part (3) – (Linear inequalities)

SSS2 Math Lesson 11 Examination- Algebraic Processes – Part (3) – (Linear inequalities)

Noah Wasiu August 12, 2025

Quiz Summary

Information

Results

Results

Categories

1. Question

2. Question

3. Question

4. Question

5. Question

6. Question

7. Question

8. Question

9. Question

10. Question

11. Question

12. Question

13. Question

14. Question

15. Question

16. Question

17. Question

18. Question

19. Question

20. Question

21. Question

22. Question

23. Question

24. Question

25. Question

26. Question

27. Question

28. Question

29. Question

30. Question

31. Question

32. Question

33. Question

34. Question

35. Question

36. Question

37. Question

38. Question

39. Question

40. Question

41. Question

42. Question

43. Question

44. Question

45. Question

46. Question

47. Question

48. Question

49. Question

50. Question