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Learning Task 1.3 Up-ROOT-ing

Total questions: 10

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

 x2+10x+9=0x^2+10x+9=0  

What are the roots of the given quadratic equation above?

a)

 x=1 and x=9x=1\ and\ x=9  

b)

 x=1 and x=9x=-1\ and\ x=-9  

c)

 x=1 and x=9x=1\ and\ x=-9  

d)

 x=1 and x=9x=-1\ and\ x=9  

2.

 To write 3x2=15 to x2=k, To\ write\ 3x^2=15\ to\ x^2=k,\   which of the following should be done?

a)

Extract the square root of both sides.

b)

Add both sides of the equaton by 3.

c)

Divide both sides by 3.

d)

Subtract both sides by 3

3.

 x2+5x+4=0x^2+5x+4=0  

Use quadratic formula to solve for x.

a)

 x=1 and x=4x=1\ and\ x=-4  

b)

 x=1 and x=4x=-1\ and\ x=-4  

c)

 x=1 and x=4x=-1\ and\ x=4  

d)

 x=1 and x=4x=1\ and\ x=4  

4.

 3x24x=03x^2-4x=0  

Find the solutions of the given quadratic equation above.

a)

 x=43 and x=0x=-\frac{4}{3\ }and\ x=0  

b)

 x=43 and x=0x=\frac{4}{3}\ and\ x=0  

c)

 x=4 and x=3x=4\ and\ x=3  

d)

 x=43 and x=43x=\frac{4}{3}\ and\ x=-\frac{4}{3}  

5.

Which of the following equation has the roots of 5 and -5?

a)

x225=0x^2-25=0

b)

x2+25=0x^2+25=0

c)

x2+10x25=0x^2+10x-25=0

d)

x210x+25=0x^2-10x+25=0

6.

Which of the following properties is applied when solving quadratic equation by extracting the square roots?

a)

Extracting property

b)

Distributive property

c)

Square Root property

d)

Commutative property

7.

 8x2=6xx28x^2=6x-x^2 

What are the roots of the given quadratic equation above?

a)

 0 and2/30\ and-2/3  

b)

 1 and 01\ and\ 0  

c)

 2 and 32\ and\ 3  

d)

 0 and 230\ and\ \frac{2}{3}  

8.

The values of a, b, and c of a quadratic equation written in standard form are -2, 8 and 3, respectively. Another quadratic equation has 2, -8 and -3 as the values of a, b, and c, respectively. Do you agree that the two equations have the same solutions? Justify your answer.

a)

Yes the roots are the same.  (4±22)5\frac{\left(4\pm\sqrt{22}\right)}{5}  

b)

No the roots are not the same.

c)

Yes the roots are the same.  (1±22)2\frac{\left(1\pm\sqrt{22}\right)}{2}  

d)

Yes the roots are the same.  (4±22)2\frac{\left(4\pm\sqrt{22}\right)}{2}  

9.

 If x2=kIf\ x^2=k  then ____________.

Complete the statement.

a)

 x=±kx=\pm\sqrt{k}  

b)

 x=k2x=k^2  

c)

 x=kx=-k  

d)

 x=kx=k  

10.

Which of the following equation cannot be solved by extracting square root?

a)

9x2121=09x^2-121=0

b)

x25x=255xx^2-5x=25-5x

c)

2x24=7x2x^2-4=7x

d)

x2=49x^2=49