# MCQs: Algebra :Mathematics MCQs

# Algebra

**1. Which of the following is a quadratic equation?**

a) x + 2 = 0

b) 2x + 3 = 0

c) x^2 – 3x + 2 = 0

**Answer: c) x^2 – 3x + 2 = 0**

**2. Which of the following is the formula for the quadratic formula?**

a) x = (-b + sqrt(b^2 – 4ac)) / 2a

b) x = (-b – sqrt(b^2 + 4ac)) / 2a

c) x = (-b + sqrt(b^2 – 4ac)) / a

**Answer: a) x = (-b + sqrt(b^2 – 4ac)) / 2a**

**3. Which of the following is a linear equation?**

a) x^2 + 2x + 1 = 0

b) 3x – 4 = 0

c) 2x^3 – 4x^2 + x – 1 = 0

**Answer: b) 3x – 4 = 0**

**4. Which of the following is the slope-intercept form of a linear equation?**

a) y = mx + b

b) x = y – b / m

c) y = m / x + b

**Answer: a) y = mx + b**

**5. Which of the following is the y-intercept of the linear equation y = 2x + 3?**

a) 2

b) 3

c) (0,3)

**Answer: b) 3**

**6. Which of the following is a solution to the equation x^2 – 5x + 6 = 0?**

a) x = 2 or x = 3

b) x = -2 or x = -3

c) x = 2 or x = -3

**Answer: a) x = 2 or x = 3**

**7. Which of the following is the equation of a vertical line?**

a) y = mx + b

b) x = c

c) y = c

**Answer: b) x = c**

**8. Which of the following is a factor of the polynomial x^2 – 4x – 21?**

a) (x + 3)(x + 7)

b) (x – 3)(x + 7)

c) (x – 3)(x – 7)

**Answer: a) (x + 3)(x + 7)**

**9. Which of the following is the degree of the polynomial 2x^3 – 3x^2 + 4x – 1?**

a) 2

b) 3

c) 4

**Answer: b) 3**

**10. Which of the following is the solution to the equation 2x – 4 = 6x + 2?**

a) x = -1

b) x = 2

c) x = -3

**Answer: c) x = -3**

**11. Which of the following is a binomial?**

a) x^2 – 2x + 1

b) 3x^2 + 2x + 1

c) x + 2

**Answer: c) x + 2**

**12. Which of the following is a trinomial?**

a) x + 2

b) x^2 – 2x + 1

c) x^3 + 3x^2 + 2x + 1

**Answer: c) x^3 + 3x^2 +**

**13. Which of the following is the standard form of a quadratic equation?**

a) ax^2 + bx + c = 0

b) x^2 + px + q = 0

c) x^2 + bx + c = 0

**Answer: a) ax^2 + bx + c = 0**

**14. Which of the following is the vertex form of a quadratic equation?**

a) y = ax^2 + bx + c

b) y = a(x – h)^2 + k

c) y = a(x + h)^2 + k

**Answer: b) y = a(x – h)^2 + k**

**15. Which of the following is the discriminant of a quadratic equation?**

a) b^2 – 4ac

b) -b Â± sqrt(b^2 – 4ac) / 2a

c) a(x – h)^2 + k

**Answer: a) b^2 – 4ac**

**16. Which of the following is a system of linear equations?**

a) x^2 + y^2 = 25, 2x – y = 1

b) y = 3x – 2, y = -2x + 5

c) 2x^2 – y = 3, x + y = 7

**Answer: b) y = 3x – 2, y = -2x + 5**

**17. Which of the following is the solution to the system of equations 2x + 3y = 7 and x – y = 2?**

a) (3,1)

b) (2,3)

c) (-1,3)

**Answer: a) (3,1)**

**18. Which of the following is the slope of the line 4x – 2y = 6?**

a) 2

b) -2

c) 4

**Answer: c) 4**

**19. Which of the following is the y-intercept of the line y = -3x + 2?**

a) 2

b) -3

c) (0,2)

**Answer: a) 2**

**20. Which of the following is the slope of the line passing through the points (2,3) and (4,5)?**

a) 2

b) 1/2

c) 1

**Answer: c) 1**

**21. Which of the following is the equation of the line passing through the point (-2,5) and having a slope of 3?**

a) y = 3x – 11

b) y = 3x + 11

c) y = -3x + 11

**Answer: b) y = 3x + 11**

**22. Which of the following is the equation of the line perpendicular to the line y = 2x – 3 and passing through the point (4,5)?**

a) y = -1/2x + 7

b) y = -2x + 13

c) y = 1/2x + 3

**Answer: a) y = -1/2x + 7**

**23. Which of the following is the equation of the circle with center (3,-4) and radius 5?**

a) (x – 3)^2 + (y + 4)^2 = 25

b) (x + 3)^2 + (y – 4)^2 = 25

c) (x – 3)^2 + (y – 4)^2 = 25

**Answer: c) (x – 3)^2 + (y-4)^2 = 25**

**24. Which of the following is the slope-intercept form of a linear equation?**

a) ax + by = c

b) y = mx + b

c) x^2 + y^2 = r^2

**Answer: b) y = mx + b**

**25. Which of the following is the standard form of a linear equation?**

a) ax + by = c

b) y = mx + b

c) x^2 + y^2 = r^2

**Answer: a) ax + by = c**

**26. Which of the following is the solution to the equation 2x – 5 = 7?**

a) x = 6

b) x = 12

c) x = -1

**Answer: a) x = 6**

**27. Which of the following is the solution to the equation 3x + 4 = 19?**

a) x = 5

b) x = 15

c) x = 23/3

**Answer: a) x = 5**

**28. Which of the following is the equation of the parabola with vertex (1,-2) and focus (1,2)?**

a) (y + 2)^2 = 4(x – 1)

b) (x – 1)^2 = 4(y + 2)

c) (x – 1)^2 = -4(y + 2)

**Answer: a) (y + 2)^2 = 4(x – 1)**

**29. Which of the following is the equation of the ellipse with center (2,-3), major axis of length 10 and minor axis of length 6?**

a) (x – 2)^2 / 25 + (y + 3)^2 / 9 = 1

b) (x – 2)^2 / 9 + (y + 3)^2 / 25 = 1

c) (x – 2)^2 / 36 + (y + 3)^2 / 100 = 1

**Answer: c) (x – 2)^2 / 36 + (y + 3)^2 / 100 = 1**

**30. Which of the following is the equation of the hyperbola with center (-3,2), vertices (-3,5) and (-3,-1), and foci (-3,6) and (-3,-2)?**

a) (y – 2)^2 / 9 – (x + 3)^2 / 16 = 1

b) (x + 3)^2 / 9 – (y – 2)^2 / 16 = 1

c) (y – 2)^2 / 16 – (x + 3)^2 / 9 = 1

**Answer: b) (x + 3)^2 / 9 – (y – 2)^2 / 16 = 1**