Free Printable Exam Revision 2023-2024

1.

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

2.

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x).

a)

x² + 8x + 1

b)

x² + 6x - 1

c)

5x² + 8x - 1

d)

x² + 8x -1

3.

Given f(x) = 3x² - 2x + 1 and g(x) = x - 4, find (fg)(x).

a)

3x³ - 10x² - 7x - 4

b)

3x³ - 14x² + 9x - 4

c)

3x² - x - 3

d)

3x³ + 14x² - 9x - 4

4.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

5.

Find f(2) if f(x)= 3x-9

a)

0

b)

2

c)

3

d)

-3

6.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

7.

Are the relations inverses?

a)

yes

b)

no

8.

Are the relations inverses?

a)

yes

b)

no

9.

Are the graphs inverses?

a)

yes

b)

no

10.

What are the inverse points for the coordinates:

(3, 0) , (2, -4), (5, 5) and (-6,8)

a)

(3,0) , (2, -4) , (5,5) , (6,8)

b)

(0,3) , (-4,2) , (5,5) , (8,-6)

c)

(3,2), (0, -4), (5, -6), (5,8)

11.

Find the inverse of $f(x)=4x$

a)

$f^{-1}(x)=\frac{x}{4}$

b)

$f^{-1}(x)=4$

c)

$f^{-1}\left(x\right)=\frac{1}{4}$

12.

$2\ \sqrt{7}\ -5\ \sqrt{7}$

a)

$3\sqrt{7}$

b)

$-3\sqrt{7}$

c)

$7\sqrt{7}$

13.

$2\sqrt{8}\ +\ 3\sqrt{2}$

a)

$4\sqrt{2}$

b)

$7\sqrt{2}$

c)

$5\sqrt{2}$

14.

$5\sqrt{6}\ +\ 8\ \sqrt{6}-\ 3\sqrt{6}$

a)

$10\sqrt{6}$

b)

$16\sqrt{6}$

c)

$\sqrt{6}$

15.

Which of the following is correct?

a)

< A = < B

b)

< A = < C

c)

< C = < B

16.

Which of the following is correct?

a)

< A + < B = 180 degrees

b)

< A + < C = 180 degrees

c)

< C + < B + < A = 360 degrees

17.

Find the value of angle (y) ?

a)

145

b)

134

c)

35

18.

In a parallelogram, consecutive angles are __________.

a)

congruent

b)

supplementary

c)

corresponding

d)

parallel

19.

solve for X

a)

19

b)

20

c)

33

d)

53

20.

Solve for X

a)

22

b)

16

c)

40

d)

35

21.

solve for X

a)

24

b)

90

c)

14

d)

100

22.

Find the scale factor of the enlargement from A to C

a)

2

b)

0.5

c)

3

d)

4

23.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

24.

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

25.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

26.

Find the inverse of the function f(x) = 2x + 3

a)

f^(-1)(x) = 2x - 3

b)

f^(-1)(x) = x / 2 + 3

c)

f^(-1)(x) = (x - 3) / 2

d)

f^(-1)(x) = 3x - 2

27.

Verify if the functions f(x) = 3x - 2 and g(x) = (x + 2) / 3 are inverses of each other.

a)

Not sure

b)

Yes

c)

Maybe

d)

No

28.

Graph the inverse function of y = 2x - 5.

a)

b)

c)

d)

29.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

30.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

31.

What angle corresponds to $\angle4$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle3$

d)

$\angle2$

32.

What angle corresponds to $\angle1$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle8$

d)

$\angle2$

33.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

34.

Find the missing angle.

a)

60°

b)

70°

c)

50°

d)

140

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

either an enlargement or a reduction

d)

neither an enlargement nor a reduction

38.

What is Dilation?

a)

Dilation means to enlarge or reduce

b)

Dilation means to reflect on something

c)

Dilation means to like something

d)

Dilation means to make something different by making it smaller

39.

A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of 4. The dilation is (X,Y) --- (4x,4y)

a)

A(3,3), B(4,4), C(-3,-4)

b)

A(-4,8), B(6.5,8), C(7,7)

c)

A(0,0), B(32,0), C(12,-8)

40.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

Exam Revision 2023-2024

Total questions: 40

Worksheet time: 40mins

Similar Resources on Wayground