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Total questions: 15

Worksheet time: 10mins

Name
Class
Date
1.

Select the correct answer(s).

a)

Domain={1,2,3}

b)

Codomain={4,5,6,7}

c)

Range={4,5,6,7}

d)

Range={4,5,6}

2.

If x1>2\left|x-1\right|>2  , then

a)

x-1>2

b)

x-1>-2

c)

x-1<2

d)

x-1<-2

3.

What is the function that maps x to z?

a)

fg(x)

b)

gf(x)

c)

fg(z)

d)

gf(z)

4.

If f(x)=2x , g(x)=x , then...

a)

fg(x)=2x

b)

gf(x)=2x

c)

fg(x)=x

d)

gf(x)=x

5.

The functions f and g are inverse of each other if...

a)

f(x)=g(x)=x

b)

f(x)=g(x)

c)

the graphs of f and g are symmetrical at line y=x

d)

f(x)=g1(x)f\left(x\right)=g^{-1}\left(x\right)  

g(x)=f1(x)g\left(x\right)=f^{-1}\left(x\right)  

6.

For quadratic equation x2+pxqx+m=n-x^2+px-qx+m=n , determine the value of a, b and c in general form of ax2+bx+c=0ax^2+bx+c=0  .

a)

a=-1,

b=p,

c=-q

b)

a=-1,

b=p-q,

c=m+n

c)

a=1,

b=q-p,

c=n-m

d)

a=1,

b=p-q,

c=n-m

7.

If use formula method to solve 3m2+4m6=03m^2+4m-6=0  , then

a)

m=4±(4)24(3)(6)2(3)m=\frac{-4\pm\sqrt[]{\left(4\right)^2-4\left(3\right)\left(-6\right)}}{2\left(3\right)}  

b)

x=4±(4)24(3)(6)2(3)x=\frac{-4\pm\sqrt[]{\left(4\right)^2-4\left(3\right)\left(-6\right)}}{2\left(3\right)}  

c)

m=4±(4)24(3)(6)2(3)m=\frac{4\pm\sqrt[]{\left(4\right)^2-4\left(3\right)\left(-6\right)}}{2\left(3\right)}  

d)

m=4±(4)24(3)(6)2(4)m=\frac{-4\pm\sqrt[]{\left(4\right)^2-4\left(3\right)\left(-6\right)}}{2\left(4\right)}  

8.

Which one is the correct step by completing the square of the following QE?

2x23x=52x^2-3x=5  

a)

x232x+(32)2=52+(32)2x^2-\frac{3}{2}x+\left(\frac{3}{2}\right)^2=\frac{5}{2}+\left(\frac{3}{2}\right)_{ }^2  

b)

x232x+(32)2=52 x^2-\frac{3}{2}x+\left(\frac{3}{2}\right)^2=\frac{5}{2}\  

c)

x232x+(34)2=52+(34)2 x^2-\frac{3}{2}x+\left(\frac{3}{4}\right)^2=\frac{5}{2}+\left(\frac{3}{4}\right)_{ }^2\  

d)

x232x+(34)2=52(34)2x^2-\frac{3}{2}x+\left(\frac{3}{4}\right)^2=\frac{5}{2}-\left(\frac{3}{4}\right)_{ }^2  

9.

The sum of roots of a QE is equal to...

a)

ca\frac{c}{a}  

b)

ca-\frac{c}{a}  

c)

ba\frac{b}{a}  

d)

ba-\frac{b}{a}  

10.

The product of roots of a QE is equal to...

a)

ca\frac{c}{a}  

b)

ca-\frac{c}{a}  

c)

ba\frac{b}{a}  

d)

ba-\frac{b}{a}  

11.

If a quadratic equation does not have real roots, then

a)

b24ac>0b^2-4ac>0  

b)

b24ac<0b^2-4ac<0  

c)

b24ac=0b^2-4ac=0  

d)

b24ac0b^2-4ac\ge0  

12.

If -x>2 , then...

a)

x>-2

b)

x<-2

13.

a2+b2=?a^2+b^2=?  

a)

(a+b)2\left(a+b\right)^2  

b)

(a+b)2+ab\left(a+b\right)^2+ab  

c)

(a+b)2+2ab\left(a+b\right)^2+2ab  

d)

(a+b)22ab\left(a+b\right)^2-2ab  

14.

2(x5)= ?\frac{2}{\left(\frac{x}{5}\right)}=\ ?  

a)

25x\frac{2}{5x}  

b)

2×5x\frac{2\times5}{x}  

c)

2x5\frac{2x}{5}  

d)

5x2\frac{5x}{2}  

15.

2x+3y= ?\frac{2}{x}+\frac{3}{y}=\ ?  

a)

2+3x+y\frac{2+3}{x+y}  

b)

2+3xy\frac{2+3}{xy}  

c)

2x+3yxy\frac{2x+3y}{xy}  

d)

2y+3xxy\frac{2y+3x}{xy}