**Quadratic Equations** are the most tough questions which trouble students during **SAT Test**. Check out for the following **SAT MATH Practice Questions of Quadratic Equations** and **Functions** which will help in preparing for final exam.

## Free SAT Math Practice Questions – Quadratic Equations

**Question 1:** What are the possible solutions to the following equation below ?

**4x² = 52**

**A.** x = 13

**B.** x = -13 and x = 13

**C.** x = √13

**D.** x = -√13 and x = √13

Answer & Explanation

**B**]

**Question 2:** What are the possible solutions to the following equation below ?

**(x+3) (x-5) = 5**

**A.** x = -3 and x = 5

**B.** x = 2 and x = 10

**C.** x = 1-2√5 and x = 1+2√5

**D.** x = 1-2√21 and x = 1+√21

Answer & Explanation

**B**]

**Question 3: **If **(x²)² – 3x + 5** is divided by **2x – 1**, then remainder is

**A.** 35⁄16

**B.** −35⁄16

**C.** −9

**D.** 3

Answer & Explanation

**B**]

**Question 4: **If roots of **x² – 5x + a = 0** are equal, then** a** =

**A.** 25/5

**B.** ±25/4

**C.** 25/4

**D.** None of Above

Answer & Explanation

**D**]

**Question 5: **Which term is used for equation** (x ^{2}+ 4x + 4)**

**A.** Polynomial

**B.** Equation

**C.** Identity

**D.** None of Above

Answer & Explanation

**B**]

**Question 6: **If a < 0, then function **ƒ(x) = ax² + bx + c** has a maximum value value at

**A.** ƒ(a/2b)

**B.** ƒ(-a/2b)

**C.** ƒ(-b/2a)

**D.** None of Above

Answer & Explanation

**C**]

**Question 7: **Find the discriminant of quadratic equation **ax² +bx +c = 0** is

**A.** b² + 4ac

**B.** 4ac-b²

**C.** b² – 4ac

**D.** a² – 4bc

Answer & Explanation

**C**]

**Question 8: **If x-2 is a factor of **ax² – 12x +4**, then what is the value of ‘**a**‘ in equation

**A.** a = -7

**B.** a = 7

**C.** a = 0

**D.** a = -3

Answer & Explanation

**D**]

**Question 9: **When discriminant = 0 the roots are ______

**A.** Real and equal

**B.** Rational

**C.** Irrational and unequal

**D.** None

Answer & Explanation

**A**]

**Question 10:** For **S** = Sum of roots and **P** = product of the roots. What will be the quadratic equation?

**A.** X² + Sx + P = 0

**B.** X² + Sx – P = 0

**C.** X² – Sx + P = 0

**D.** X² – Sx – P = 0

Answer & Explanation

**C**]

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