Free Printable IE2 P3 Review Quiz

1.

| 9 - 2x | > 1

a)

x < - 4 or x > 5

b)

4 < x < 5

c)

x < - 4

d)

x < 4 or x > 5

2.

3 x - 1 > | 2 x - 3 |

a)

x < - 2

b)

x > - 2

c)

x < - 2 or x > 4/5

d)

x > 4/5

3.

$f\left(x\right)=\frac{x-2}{6}$
Find $f^{-1}\left(x\right)$

a)

$\frac{x-6}{2}$

b)

$6x+2$

c)

$2x+6$

d)

$6\left(x+2\right)$

4.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = - 4x - 3

5.

f(x+2)

a)

Two up

b)

Two down

c)

Two left

d)

Two right

6.

Which is a stretch?

a)

f(9x)

b)

f(x+9)

c)

f(-x)

d)

f(x+1)

7.

The red graph is y=x². What is the equation of the blue graph?

a)

y=(x-2)²

b)

y=(x+2)²

c)

y=x⁴

d)

something else

8.

The red graph is f(x).
Which graph is f(-x)?

a)

Orange

b)

Red

c)

Blue

d)

Green

9.

This is the graph of f(x).
If we drew f(x-2)+3 then where would the black blob move to?

a)

Stay the same

b)

Up 3

c)

To (2,4)

d)

To (-2,4)

10.

Please select the correct solution

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

11.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

12.

Simplify

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

13.

*

a)

sin x

b)

cos x

c)

tan x

d)

csc x

14.

Using the first identity, find Sin(180)

a)

2sin(90)cos(90)

b)

2sin(180)cos(180)

c)

sin(90)cos(90)

d)

sin(180)cos(180)

15.

$\cos2\theta=$

a)

$2(\sin\theta)(\cos\theta)$

b)

$(\cos\theta)^2+(\sin\theta)^2$

c)

$2(\cos\theta)^2-1$

d)

$(\sin\theta)^2-(\cos\theta)^2$

16.

Simplify using double angle identities

a)

A

b)

B

c)

C

d)

D

17.

Find the derivative of y = 2x² (3x - 4)

a)

6x³ - 8x²

b)

18x² - 16x

c)

15x²- 6x

d)

6x - 4

18.

Find the derivative
f(t) = (t² + 2t)⁵

a)

f'(t) = 5(2t+2)⁴

b)

f'(t) = 5(t² + 2t)⁴

c)

f'(t) = 5(t² + 2t)⁴(2t)

d)

f'(t) = 5(t² + 2t)⁴(2t + 2)

19.

a)

8x⁴ -60x²

b)

16x⁴

c)

(8x⁴ -60x²)/(2x²-5)²

d)

3x

20.

Which rule would you need to use?

a)

Power Rule

b)

Product Rule

c)

Quotient Rule

d)

Chain Rule

21.

a)

b)

c)

d)

22.

Differentiate (2x + 2)(x - 5)⁸ with respect to x.

a)

(2x + 2)(x - 5)⁷ + 2(x - 5)⁸

b)

8(2x + 2)(x - 5)⁷ + 2(x - 5)⁸

c)

2(x - 5)⁸

d)

16(x - 5)⁷

23.

$\int_{ }^{ }\left(\sin^2x\right)dx$

a)

$\sin^3x\ +c$

b)

$\frac{1}{3}\sin^3x\ +c$

c)

$\frac{1}{2}x\ +\frac{1}{4}\sin2x\ +c$

d)

$\frac{1}{2}x\ -\frac{1}{4}\sin2x\ +c$

24.

$\int_{ }^{ }\cos^2x\ \sin x\ dx$

a)

$\cos^3x+c$

b)

$\frac{1}{3}\cos^3x+c$

c)

$\frac{1}{3}\sin^3x+c$

d)

$-\frac{1}{3}\cos^3x+c$

25.

$\int_{ }^{ }3x^2\left(x^3+4\right)^2\ dx$

a)

$\left(x^3+4\right)^3+c$

b)

$\frac{1}{3}\left(x^3+4\right)^3+c$

c)

$\frac{1}{6}\left(x^3+4\right)^3+c$

d)

$x^3\left(x^3+4\right)^3+c$

26.

$\int_{ }^{ }\cos^5x\sin x\ dx$

a)

$\frac{1}{6}\cos^6x+c$

b)

$\cos^6x+c$

c)

$-\cos^6x+c$

d)

$-\frac{1}{6}\cos^6x+c$

IE2 P3 Review Quiz

Total questions: 26

Worksheet time: 1hrs 27mins

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