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SOLVING QUADRATIC EQUATIONS (PART 1)

Total questions: 15

Worksheet time: 10mins

Name
Class
Date
1.

What is your name? (Write in capital letters.)

4 lines
2.

What is your grade and section?

4 lines
3.

What property is used to solve quadratic equations by extracting the square roots?

a)

Transitive Property

b)

Symmetric Property

c)

Square Root Property

d)

Zero - Product Property

4.

Which of the following numbers is a perfect square number (meaning that the square root is a whole number)?

a)

45

b)

47

c)

49

d)

51

5.

TRUE OR FALSE: The square root of 121 is positive 11 only.

a)

TRUE

b)

FALSE

6.

Refer to the following statements.

STATEMENT I: When the number inside the radical sign is positive, the solution is an element of the set of real numbers.

STATEMENT II: When the number inside the radical sign is negative, the solution is an element of the set of real numbers.

a)

Only Statement I is correct.

b)

Only Statement II is correct.

c)

Both statements are correct.

d)

Neither of the statements is correct.

7.

Solve for d in the equation: d2 =169d^{2\ }=169  

a)

d = 13

b)

d = 13 or d = -13

c)

d = -13

d)

cannot be determined

8.

What is/are the value/s of g in the equation 7g2 −448 =07g^{2\ }-448\ =0  ?

a)

g = 9 or g = -9

b)

g = 8 or g = -8

c)

g = 7 or g = -7

d)

g = 6 or g = -6

9.

What property is applied to solving quadratic equations by factoring?

a)

Transitive Property

b)

Symmetric Property

c)

Absolute Value Property

d)

Zero - Product Property

10.

If ab =0, then a = ____ or b = _____.

a)

0,0

b)

0,1

c)

1,1

d)

1,0

11.

Refer to the following statements below:

STATEMENT I: The concept of a common monomial factor is not used in solving quadratic equations by factoring.

STATEMENT II: It is important to follow the concept of PEMDAS to solve quadratic equations by factoring.

a)

Both statements are correct.

b)

Neither of the statements is correct.

c)

Only Statement I is correct.

d)

Only Statement II is correct.

12.

What factoring method can be used to factor x2 −10x+25 =0x^{2\ }-10x+25\ =0  ?

a)

Factoring Common Monomial Factor

b)

Factoring Sum and Difference of Two Squares

c)

Factoring Sum and Difference of Two Cubes

d)

Factoring Perfect Square Trinomial

13.

Give the values of x that will satisfy the equation 3x2 −12x =03x^{2\ }-12x\ =0 . 

a)

x = 0 or x = 12

b)

x = 3 or x = 12

c)

x = 0 or x = 4

d)

x = 3 or x = 4

14.

For what values of x will satisfy the equation x2 + 5x − 24 =0x^{2\ }+\ 5x\ -\ 24\ =0 ? 

a)

x = -3 or x = 8

b)

x = -8 or x = 3

c)

x = 3 or x = 8

d)

x = -8 or x = -3

15.

What are the values of p that will satisfy the quadratic equation given? 3p2 +16p−12 =03p^{2\ }+16p-12\ =0  

a)

p = -6 or p =2/3

b)

p = -4/3 or p = 3

c)

p = -3 or p = 4/3

d)

p = -2/3 or p = 6