Free Printable R&J EOTY Math

1.

Classify the number: -23

a)

natural, whole, integer, rational, real

b)

integer, rational, real

c)

integer, irrational, real

d)

whole, integer, rational, real

2.

Classify the number: 3

a)

natural, whole, integer, rational, real

b)

whole, integer, rational, real

c)

natural, whole, integer, irrational, real

d)

natural, whole, integer, rational

3.

-14 could be classified as all of these EXCEPT?

a)

Integer

b)

Real

c)

Rational

d)

Whole

4.

Classify the number: 0

a)

natural, whole, integer, rational, real

b)

integer, irrational, real

c)

irrational, real

d)

whole, integer, rational, real

5.

A non-repeating or non-terminating decimal is classified as ________________.

a)

rational, real

b)

irrational, real

c)

integer, rational, real

d)

whole, integer, irrational, real

6.

A repeating or terminating decimal is classified as ___________?

a)

rational, real

b)

integer, rational, real

c)

irrational, real

d)

whole, integer, irrational, real

7.

Classify the number:

a)

rational, real

b)

whole, Integer, rational, real

c)

integer, irrational, real

d)

irrational, real

8.

An example of an integer is...

a)

9.1

b)

8/9

c)

-9

d)

-2.3

9.

An example of a whole number is:

a)

4/9

b)

-9

c)

5.2

d)

17

10.

Classify the Number: 2.587

a)

irrational, real

b)

rational, real

c)

integer, rational, real

d)

integer, irrational, real

11.

Natural numbers are:

a)

1.5, 2, 2.5, 3, . . .

b)

0,1,2,3,4,5...

c)

1, 2, 3, 4, . . .

d)

. . . , -2, -1, 0, 1, 2, . . .

12.

Which number is an irrational number?

a)

2.33333 . . .

b)

5.72314.....

c)

5.72

d)

5²

13.

Classify the number: √49

a)

natural, whole, integer, rational, real

b)

irrational, real

c)

whole, integer, rational, real

d)

rational, real

14.

Classify the number: 17/4

a)

natural, whole, integer, rational, real

b)

integer, rational, real

c)

whole, integer, rational, real

d)

rational, real

15.

A number can be rational and irrational.

a)

True

b)

False

16.

All whole numbers are integers.

a)

False

b)

True

17.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

18.

Which of the following statements is always true?

a)

All integers are whole numbers

b)

all rational numbers are integers

c)

some whole numbers are not rational numbers

d)

all whole numbers are integers

19.

Is √2 Irrational?

a)

Yes

b)

No

20.

Based on the chart, how many subsets are within the integers set?

a)

1

b)

2

c)

3

d)

none

21.

Simplify:
(3 + 2i) + (4i + 6)

a)

9 + 6i

b)

7i + 8

c)

9 + 6i²

d)

9 - 6i

22.

Simplify:
(4 + 7i) - (3 + 2i)

a)

1 + 5i

b)

7 + 9i

c)

1 + 9i

d)

-1 + 5i

23.

Simplify:
-3i(4 + 2i)

a)

6 - 12i

b)

6 + 12i

c)

-12i - 6i²

d)

-12i + 6i²

24.

Simplify:
(2 - 3i)(5 + 4i)

a)

22 - 7i

b)

22 + 7i

c)

22 - 7i²

d)

22 + 7i²

25.

(4-5i)(4+5i)

a)

41

b)

-9

c)

41+40i

d)

-9+40i

26.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

27.

What is the simplified form of the above?

a)

7/10 + 11/10 i

b)

13/10 +1/10 i

c)

5/4 - 3/2i

d)

7/10 - 11/10 i

28.

Simplify.

a)

-5i

b)

5

c)

5i

d)

-5

29.

a)

A

b)

B

c)

C

d)

D

30.

Find the resultant vector.

a)

<-10, 10>

b)

<10, -10>

c)

<15, 25>

d)

<25, 15>

31.

Find the resultant vector.

a)

<9, 15>

b)

<7, 17>

c)

<15, 9>

d)

<11, 13>

32.

Given u = <3, 7> and v =<-5, 4>, find 2v - 3u

a)

<21, 2>

b)

<-19, -13>

c)

<-15, 3>

d)

23

33.

Find the component form of a vector whose magnitude is 10 and direction is 150°.

a)

<10, 150>

b)

<-8.66, 5>

c)

<6.99 , -7.14>

d)

10i + 150j

34.

Find the direction angle for the vector <2, 7>

a)

74.05°

b)

15.95°

c)

195.94°

d)

97.28°

35.

Find the direction angle for the vector <5, -2>

a)

338.20°

b)

21.80°

c)

291.80°

d)

68.2°

36.

Find the angle between the vectors

a)

142.13°

b)

48.23°

c)

261.24°

d)

315.48°

37.

Find the resultant vector.

a)

<5, 3>

b)

<1, 7>

c)

<7, 1>

d)

<3, 5>

38.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

39.

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

40.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

41.

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

42.

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.

43.

How many rows are in a 7 x 3 matrix?

a)

7

b)

3

c)

21

d)

10

44.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

45.

Find the product of the two matrices.

a)

undefined

b)

-3 16
17 12
8 -10

c)

3 12
-15 -8
-1 -3

46.

Find the product of the two matrices.

a)

1 2
6 -8

b)

-3 -5
-5 -11

c)

-2 8
-6 -12

d)

2 -3
5 -2

47.

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

a)

undefined

b)

( 3 x 1 )

c)

( 1 x 2 )

d)

( 3 x 2 )

48.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

49.

These matrices are being multiplied. Determine the dimension/size of the new matrix.

a)

Can't multiply them

b)

4 x 2

c)

3 x 3

d)

4 x 3

50.

a)

b)

c)

UNDEFINED

d)

51.

What are the dimensions of this matrix?

a)

3x1

b)

1x3

c)

3x3

d)

1x1

52.

In Matrix R (pictured) what element is r₂₃ ?

a)

8

b)

9.01

c)

6

d)

1

53.

Add the matrices.

a)

11 8

-4 2

b)

3 2

-6 -6

c)

-3 2

-4 -6

d)

10 8

-6 2

54.

Multiply

a)

b)

c)

d)

55.

Subtract the matrices.

a)

b)

c)

d)

R&J EOTY Math

Total questions: 55

Worksheet time: 3hrs 15mins

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