Free Printable Revision UPS 2

1.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

2.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

3.

a)

2

b)

7

c)

4

d)

-3

4.

a)

-5

b)

5

c)

0

d)

2

5.

a)

b)

c)

d)

6.

Find the product of the matrices.

a)

A

b)

B

c)

C

d)

D

7.

a)

b)

c)

d)

8.

Find the determinant of the matrix

a)

A

b)

B

c)

C

d)

D

9.

Calculate the determinant

a)

0

b)

-15

c)

-70

d)

10

10.

Calculate the

m_{23\ }and\ \ c_{23}

a)

$m_{23}=12,\ \ c_{23}=12$

b)

$m_{23}=12,\ \ c_{23}=-12$

c)

$m_{23}=-20,\ \ c_{23}=-20$

d)

$m_{23}=-20,\ \ c_{23}=20$

11.

find

m_{13}\ \ and\ c_{13}

a)

$m_{13}=16,\ \ c_{13}=16$

b)

$m_{13}=16,\ \ c_{13}=-16$

c)

$m_{13}=8,\ \ c_{13}=8$

d)

$m_{13}=8,\ \ c_{13}=-8$

12.

Find the inverse.

a)

A

b)

B

c)

C

d)

D

13.

Determine the Inverse Matrix

a)

b)

c)

d)

14.

Write the system of linear equations into matrix equations
$2x-3y=3z-7$
$4z-2x+3y=12$
$4y+2z-3x=0$

a)

b)

c)

d)

15.

Which matrix equation represents this system of equations?

a)

b)

c)

d)

16.

Give the domain and range. Tell if it is a function.

a)

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function

b)

D: {-4, -2, 0, 2}
R: {-2, 1}
Function

c)

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function

d)

D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function

17.

Given f(x)= -3x + 7 and g(x)=2x² - 8, find g(f(x)).

a)

g(f(x))= -6x²+ 31

b)

g(f(x))= -6x²+ 24

c)

g(f(x))=18x²- 84x + 90

d)

g(f(x))=9x²- 42x - 41

18.

Given $f\left(x\right)=3x-6$ and $g\left(x\right)=x^2+4$ , find $\left(g\circ f\right)\left(x\right)$ in simplest form.

a)

$9x^2-36x$

b)

$9x^2+42$

c)

$9x^2+36x-42$

d)

$9x^2-36+40$

19.

$Given\ f\left(x\right)=x+3\ and\ fg\left(x\right)=6-2x,\ find\ g\left(x\right).$

a)

$g\left(x\right)=3+2x$

b)

$g\left(x\right)=12-2x$

c)

$g\left(x\right)=3-2x$

d)

$g\left(x\right)=9+2x$

20.

$Given\ f\left(x\right)=x+2\ and\ gf\left(x\right)=x^2+4x+3,\ find\ g\left(x\right).$

a)

$g\left(x\right)=x^2+6x+14$

b)

$g\left(x\right)=x-1$

c)

$g\left(x\right)=x^2+4x+1$

d)

$g\left(x\right)=x^2-1$

21.

Which is f ^-1(x)?

a)

f^-1(x) = 5x + 3

b)

f^-1(x) = 5x - 3

c)

f^-1(x) = 5x - 15

d)

f^-1(x) = 1/5(x) + 3/5

22.

a)

b)

c)

d)

23.

$f\left(x\right)=\frac{8x-3}{5}$
Find $f^{-1}\left(x\right)$

a)

$5\left(8x+3\right)$

b)

$\frac{5x}{8}+3$

c)

$\frac{5\left(x+3\right)}{8}$

d)

$\frac{5x+3}{8}$

24.

What is the DOMAIN of the function?

a)

[-7, 6]

b)

(-7, 6)

c)

[-8, 2]

d)

[-7, -8]

25.

What is the range of this function?

a)

(-∞,+∞)

b)

(-4,2]

c)

(-∞,2]

d)

[2,-∞)

Revision UPS 2

Total questions: 25

Worksheet time: 54mins

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