Free Printable 8/26/2022 - Matrix Quiz Review

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8/26/2022 - Matrix Quiz Review

Total questions: 45

Worksheet time: 3hrs 46mins

Name

Class

Date

If a system of equations has no solution, what does the graph look like?

intersecting lines

parallel lines

skew lines

intersecting lines

What is the solution to this system of equations?

(2, -3)

(-2, 3)

(-3, 2)

(3, -2)

Use Elimination method to solve this system

-4x - 2y = -12

4x + 8y = -24

(6,-6)

(-6,6)

(6,6)

(-6,-6)

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

The solution to a system of equations is any ordered pair that makes both equations true.

TRUE

FALSE

Solve with substitution

x = -3y - 8

x - 2y = -3

(5, -1)

(-5, 1)

(-5,-1)

(1,-5)

Solve by elimination
-2x + 6y = 16
-4x - 3y = 2

(2,2)

(-2, -2)

(-2,2)

(2,1)

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

S + A = 530
3S + 4A = 1740

S + A = 530
4S + 3A = 1740

S + A = 1740
3S + 4A = 530

S + A = 1740
4S + 3A = 530

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

x + y = 33
y = 2x - 3

x + y = 33
x = 2y - 3

x + y = 33
x = 3 - 2y

x + y = 3
x = 33 - 2y

10.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.

T + F = 1430
20T + 50F = 49

T+ F = 49
10T + 5F = 1430

T + F = 49
20T + 50F = 1430

T + F = 49
T + F = 1430

11.

If 3x - 2y = 14 and 2x + 2y = 6,
what are x and y?

x = 1, y = 2

x = 2, y = 1

x = -4, y = 1

x = 4, y = -1

12.

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

10 horses, 18 chickens

16 horses, 12 chickens

12 horses, 16 chickens

18 horses, 10 chickens

13.

What is the solution to this system?

(1, -1)

(-1, 1)

(0, -2)

(2, 0)

14.

How many solutions?

One Solution

No solution

Infinitely Many Solutions

15.

When you graph the exact same equation twice,

you will have no solution.

you will have one solution.

you will have infinite solutions.

you will graph a giraffe.

16.

What is the solution to the system?

(0, 3)

(1, -1)

(-3, 1)

(1, 3)

17.

Solve the system by substitution.

x + 2y = 2

x = -4y + 2

(-3, 0)

(0, 2)

(-3, -2)

(2, 0)

18.

Dimension

19.

What are the dimensions of this matrix?

2 x 3

3 x 2

6 x 1

1 x 6

20.

In Matrix R (pictured) what is the value of element R₃₂

9.01

21.

In Matrix R (pictured) what is the value of element R₁₃

9.01

22.

What is the name of each entry of a matrix?

Row

Element

Dimension

Rectangle

23.

How many rows are in a 7 x 3 matrix?

24.

Value of element a₂₃

-2

-1

25.

26.

What must be true in order to ADD two matrices?

They must be square.

The dimensions must be equal.

The determinant can't equal 0.

The column of the 1st must equal the row of the 2nd.

27.

What is the value of $C_{2,1}$ ?

(a)

28.

Determine whether the given matrix are identity matrix. If it is not an identity matrix, give your reason.

Tentukan sama ada matriks yang diberi ialah matriks identiti. Jika bukan, berikan sebab anda.

No, the elements along the main diagonal are not 0.

Bukan, unsur-unsur pada pepenjuru utama bukan 0.

No, the elements along the main diagonal are not 1.

Bukan, unsur-unsur pada pepenjuru utama bukan 1.

No, not all the element equal to 1.

Bukan, bukan semua unsur bernilai 1.

Yes / Ya

29.

Determine whether the given matrix are identity matrix. If it is not an identity matrix, give your reason.

Tentukan sama ada matriks yang diberi ialah matriks identiti. Jika bukan, berikan sebab anda.

No, the elements along the main diagonal are not 0.

Bukan, unsur-unsur pada pepenjuru utama bukan 0.

No, the elements along the main diagonal are not 1.

Bukan, unsur-unsur pada pepenjuru utama bukan 0.

No, not all the element equal to 1.

Bukan, bukan semua unsur bernilai 1.

Yes / Ya

30.

Which of the following is the identity matrix?

none of the above

31.

Diagonal matrix is

a matrix all the elements except the principal diagonal are zero

If all the elements above the principal diagonal are zero

square matrix all the elements except the principal diagonal are zero

If all the elements below the principal diagonal are zero

32.

You can multiply a 2X3 matrix by which matrix?

2X2

2X12

3X12

2X3

33.

Given matrices A & B:
A is a (4x33) matrix
B is a (33x1) matrix
What are the dimensions of the product of A times B?

4x1

4x33

33x1

Matrix does not exist

34.

Add

11 8
-4 2

3 2
-6 -6

-3 2
-4 -6

10 8
-6 2

35.

Subtract

-5
-8
3
10

-9
8
3
2

5
-8
3
10

-5
8
3
2

36.

Multiply

20 15 -10
30 -5 0

-20 15 -10
30 -5 0

1 8 3
11 4 5

20 -15 10
-30 5 0

37.

Can the operation be performed?

Yes

Sometimes

only Ms. Jones knows

38.

Determine whether the matrix product A_3x2 B_2x5 is defined. If so, what are the dimensions of the product.

yes, 2 x 5

yes , 3 x 5

yes , 2 x 3

39.

Find the value of x and y if

x=2 , y=5

x=3, y=3

x=3, y=5

x=5, y=3

40.

Multipy.

undefined

41.

Perform the matrix multiplication, if possible.

Cannot be multiplied, dimensions not compatible.

42.

Perform the matrix multiplication, if possible.

Cannot be multiplied, dimensions not compatible.

43.

Perform the matrix multiplication, if possible.

Cannot be multiplied, dimensions not compatible.

44.

Perform the matrix multiplication, if possible.

Cannot be multiplied, dimensions not compatible.

45.

Perform the matrix multiplication, if possible.

Cannot be multiplied, dimensions not compatible.

100 %

8/26/2022 - Matrix Quiz Review

Total questions: 45

Worksheet time: 3hrs 46mins

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