Free Printable KPI 1. (11-T1-24/25)

1.

$If\ p(x)=5x+3\ and\ q(x)=3x-2,\ find\ (p+q)(x).$

a)

8x + 1

b)

8x + 3

c)

2x + 5

d)

2x + 3

2.

$If\ p(x)=5x+3\ and\ q(x)=3x-2,\ find\ (p-q)(x).$

a)

8x + 1

b)

2x + 1

c)

2x + 5

d)

2x + 3

3.

$If\ p(x)=5x+3\ and\ q(x)=3x-2,\ find\ \left(\frac{p}{q}\right)(x).$

a)

$\frac{5x+3}{3x-2}$

b)

$\frac{3x-2}{5x+3}$

c)

$\frac{5x}{3x}$

d)

$\frac{3}{2}$

4.

$If\ p(x)=2x+3\ and\ q(x)=3x-2,\ find\ (p\cdot q)(x).$

a)

$6x^2+13x-6$

b)

$6x^2-6$

c)

$6x^2+5x-6$

d)

$6x^2-5x-6$

5.

If $h(x)=2x-1$ and $k(x)=x^2$ , find $hok(x)$ .

a)

$hok(x)=2x^2-1$

b)

$4x^2-1$

c)

$4x^2-4x+1$

d)

0

6.

If $h(x)=2x-1$ and $k(x)=x^2$ , find $koh(x)$ .

a)

$hok(x)=2x^2-1$

b)

$4x^2-1$

c)

$4x^2-4x+1$

d)

0

7.

If $h(x)=2x-1$ and $k(x)=x^2$ , find $koh(x)$ at $x=3$ .

a)

5

b)

25

c)

17

d)

14

8.

$For\ f(x)=6x,\ \ find\ fof(x).$

a)

36x

b)

$6x^2$

c)

6

d)

x

9.

$For\ f(x)=4x^2,\ \ find\ fof(x).$

a)

16x

b)

$16x^4$

c)

16

d)

$16x^2$

10.

The radical form of $\left(x^{\frac{1}{4}}\right)^{\frac{3}{2}}$

a)

$\sqrt[8]{x^{3}}$

b)

$\sqrt[3]{x^8}$

11.

The radical form of $\left(x^{\frac{1}{15}}\right)^{\frac{5}{3}}$

a)

$\sqrt[9]{x}$

b)

$\sqrt[]{x^9}$

12.

The index in $\sqrt[3]{y}$ is

a)

3

b)

2

13.

The exponent form of $\sqrt[5]{y^3}$ is

a)

$y^{\frac{3}{5}}$

b)

$y^{\frac{5}{3}}$

14.

The power of the radicand in $\sqrt[4]{x^5}$ is

a)

4

b)

5

15.

What is the inverse function of $h(x)=3x+5$ ?

a)

$k(x)=\frac{x−5}{3}$

b)

k(x) = 5 - 3x

c)

$k(x)=\frac{x}{3}+5$

d)

$k(x)=3x−5$

16.

$Simplify\ \sqrt{81a^8b^{12}},(a>0,b>0).$

a)

$9a^4b\sqrt{b^{11}}$

b)

$9a^2b\sqrt{ab^{11}}$

c)

$9a^8b\sqrt{b^{11}}$

d)

$9a^4b^6$

17.

$Simplify\ \sqrt{64a^{12}b^{15}},(a>0,b>0).$

a)

$8a^6b^7\sqrt{\ a}$

b)

$8a^6b^7\sqrt{\ ab}$

c)

$8a^6b^7$

d)

$8a^6b^7\sqrt{\ b}$

18.

Simplify $\sqrt{3}(\sqrt{3}−\sqrt{15}).$

a)

−6

b)

$3+\sqrt{45}$

c)

$3−3\sqrt{5}$

d)

$3+3\sqrt{5}$

19.

Simplify $\frac{5x}{\sqrt{10}+6}$

a)

$\frac{5x\left(\sqrt{\ 10}-6\right)}{-26}$

b)

$\frac{5x\left(\sqrt{\ 10}-6\right)}{26}$

c)

$\frac{\sqrt{\ 10}-6}{-26}$

d)

$\frac{5x\left(\sqrt{\ 10}+6\right)}{-26}$

20.

The solution of $\sqrt{x+9}=5$ is ________.

a)

4

b)

8

c)

16

d)

64

21.

$Solve\ \sqrt[3]{3x+2}=3\ for\ x.$

a)

7/3

b)

25/3

c)

6

d)

10

22.

Graph $y=-2\sqrt{x-1}+3$

a)

b)

c)

d)

23.

Graph $y=2\sqrt{-x-1}+3$

a)

b)

c)

d)

24.

Graph $y=-2\sqrt{-x-1}+3$

a)

b)

c)

d)

25.

Give domain for $y=2\sqrt{x-1}+3$

a)

$x\ge1$

b)

$x>1$

c)

$x<1$

d)

$x\le1$

26.

Give range for $y=2\sqrt{x-1}+3$

a)

$x\ge3$

b)

$x>3$

c)

$x<3$

d)

$x\le3$

KPI 1. (11-T1-24/25)

Total questions: 26

Worksheet time: 13mins

Similar Resources on Wayground