Free Printable Systems and Matrices Review

1.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

2.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

3.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

4.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

5.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

6.

Solve the following system
x + 9y = 8
-6x - 9y = -3

a)

(1,-1)

b)

(1,1)

c)

(-1,1)

d)

(-1,-1)

7.

5x - 4y = =-16
x+ 2y = -6

a)

(-4,-1)

b)

(5,-1)

c)

(-5,-1)

d)

(4,1)

8.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

9.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

10.

Is a hotdog a sandwich?

a)

True

b)

False

11.

what is the variable that willl be "eliminated"?

5x - 4y = 11

5x + 4y = -14

a)

x variable

b)

y variables

c)

both variables

12.

What would be the first step in finding the solution with elimination?

4x + 3y = 1

x - 3y = -11

a)

cross out the 3y and -3y

b)

cross out the 4x and x

c)

change all the signs of the second equation

d)

add 1 and -11

13.

A ________________ are two or more equations that have the same variables and work together.

a)

graphing lines

b)

elimination method

c)

system of equations

d)

table

e)

slope intercept form

14.

Solve the system.

a)

(3, -5, -2)

b)

(-4, 1, 3)

c)

(3, 5, 8)

d)

(4, 5, 2)

15.

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

a)

Ordered Pair

b)

Integer

c)

Ordered Triple

d)

Sum

16.

What is your solution if your variables go away and you are left with 0 = 0?

a)

No Solution

b)

All Real Numbers

c)

Infinitely Many Solutions

d)

(x, y, z)

17.

How confident do you feel solving linear systems in three variables?

a)

Very confident, and could help a friend.

b)

Fairly confident, but would like more practice

c)

Somewhat confident, but have some questions

d)

Not confident yet, and would like some help

18.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

19.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

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

20.

Use matrices to solve the system of equations for the y-coordinate.

a)

y = -7

b)

y = -3

c)

y = 7

d)

x = -3

21.

Solve the system for the value of x.

5x + 8y = -12

3x + 5y = -7

a)

1

b)

-1

c)

-4

d)

No solution

22.

a)

b)

c)

d)

23.

a)

a

b)

b

c)

c

d)

d

24.

What is the augmented matrix of a system of equations?

a)

The augmented matrix is a matrix where each element represents the solution to the system of equations.

b)

The augmented matrix of a system of equations is a matrix where each row represents one equation, with the coefficients of the variables followed by the constant term.

c)

The augmented matrix is a matrix where each column represents one equation.

d)

The augmented matrix is a matrix where each row represents one variable.

25.

How can matrices be used to solve problems involving multiple variables?

a)

Matrices are only used for single-variable problems.

b)

Matrices are used to represent non-linear equations.

c)

Matrices can only solve problems with two variables.

d)

Matrices are used to represent systems of linear equations and solve for multiple variables by performing matrix operations.

26.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

27.

Find A+B

a)

8 10
8 1

b)

12 25
7 1

c)

10 30
0 1

d)

can't add two together because the rows dont match columns

28.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

29.

How many rows are in a 7 x 3 matrix?

a)

7

b)

3

c)

21

d)

10

30.

In Matrix R (pictured) what element is r₂₃ ?

a)

8

b)

9.01

c)

6

d)

1

31.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

32.

Name the dimensions:

a)

6x2

b)

2x6

c)

12

d)

36

33.

Name the dimensions

a)

3x1

b)

1x3

c)

3

d)

1

34.

A Matrix is ______________________

a)

An arrangement of elements in Rows

b)

An arrangement of elements in Columns

c)

An arrangement of elements in Rows and Columns

d)

An ordered arrangement of elements in Rows and Columns

35.

What is the order of a Matix

a)

Sum of number of rows and columns

b)

difference of number of rows and columns

c)

determined by the number of rows and columns

d)

none

36.

What is the name of each entry of a matrix?

a)

Row

b)

Element

c)

Dimension

d)

Rectangle

37.

What comes first when listing the size of a matrix?

a)

Row

b)

Column

38.

Solve using Matrices.

a)

b)

c)

39.

Write the augmented matrix that corresponds to the system

a)

A

b)

B

c)

C

d)

D

40.

Write the augmented matrix that corresponds to the system

a)

A

b)

B

c)

C

d)

D

41.

Find B-A

a)

-3 1
7 -1

b)

1 0
1 -4

c)

4 0
-6 0

d)

not possible because rows do not match columns

42.

What, in relation to matrices, is a Scalar?

a)

A rate-of change-of measurement i.e.
"5m/s²"

b)

A scaly pet i.e.
"A Pygmy Alligator"

c)

A single value i.e.
"80"

d)

Their is no such thing as a scalar i.e.

43.

Perform the indicated operation

a)

b)

c)

d)

e)

not possible

44.

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

45.

a)

b)

c)

d)

46.

How would a scalar multiplication be carried out for a matrix?

a)

Add the Scalar to every element in the matrix

b)

Dot product the rows of one matrix with the columns of the other matrix

c)

Multiply every element with the scalar to create a new matrix

d)

subtract the elements in the first matrix from the elements of the second matrix

47.

Perform the indicated operation

a)

b)

c)

d)

e)

not possible

48.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

49.

What do m, n, p and q equal in this scalar matrix multiplication?

a)

m=8, n=9, p=-4, q=4

b)

m=15, n = -45, p=20, q=-5

c)

m=20, n=-5, p=15, q=-45

d)

m=-5, n=20, p=-45, q=15

50.

Dimensions?

a)

a

b)

b

c)

c

d)

d

Systems and Matrices Review

Total questions: 50

Worksheet time: 2hrs 40mins

Similar Resources on Wayground