QUADRATIC EQUATIONS MULTIPLE CHOICE TEST

This mathematics MCQs is made to help student learn mathematics by a certain topic. In this section, we'll get a test about quadratic equations. The target of this test is student can find the solution of quadratic equations by factoring, the square root property, and the quadratic formula.

Mathematics MCQs E1

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INSTRUCTION

Choose the one alternative answers Your choice can not be replaced Click "solutions" button to check your answer Answer all questions before you check the solutions Click "next" button to find another MCQs

1. By factoring, the solution of x² + 3x − 10 = 0 is ....
   
   A. -2 or 5
   B. -5 or 2
   C. 2 or 5
   D. -2 or 4
   E. -4 or 2
   

   Solution :
   ⇒ x² + 3x − 10 = 0
   ⇒ (x + 5)(x − 2) = 0
   ⇒ x = -5 or x = 2.
   

   Answer : B

   
   
2. The solution set of x²  − 2x − 8 = 0 is .....
   
   A. 270
   B. 280
   C. 290
   D. 300
   E. 320
   

   Solution :
   ⇒ x²  − 2x − 8  = 0
   ⇒ (x + 2)(x − 4) = 0
   ⇒ x = -2 or x = 4
   The soluiton set = {-2,4}
   

   Answer : A

   
   
3. By use the square root property, the solution of x²  − 4x = 0 is .....
   
   A. ±4
   B. 4
   C. -4 or 2
   D. -2 or 4
   E. -4
   

   Solution :
   ⇒ x²  − 4x = 0
   ⇒ x²  − 4x + 4 = 0 + 4
   ⇒ (x − 2)² = 4
   ⇒  x − 2 = ±2
   ⇒ x = 2 + 2 = 4
   

   Answer : B

   
   
4. The solution set of  x²  + 5x − 50 = 0 is....
   
   A. {-10,5}
   B. {-5,10}
   C. {-25,2}
   D. {-2,25}
   E. {-4,5}
   

   Solution :
   ⇒ x²  + 5x − 50  = 0
   ⇒ (x + 10)(x − 5) = 0
   ⇒ x = -10 or x = 5
   The soluiton set = {-10,5}
   

   Answer : A

   
   
5. By using the quadratic formula, the solution of x²  + 2x − 3 = 0 is ...
   A. {-3,1}
   B. {1,-3}
   C. {-2,3}
   D. {-3,2}
   E. {-3,3}
   

   Solutions :
   

   ⇒ x1,2 =	-b ± √b2 − 4.a.c
   	2a

   ⇒ x1,2 =	-2 ± √22 − 4.1.(-3)
   	2.1

   ⇒ x1,2 =	-2 ± √16
   	2

   ⇒ x1 =	-2 + 4
   	2

   ⇒ x₁ = 1
   

   ⇒ x2 =	-2 − 4
   	2

   ⇒ x₂ = -3
   

   Answer : A