Free Printable alg 2 practice (with some alg review!)

1.

Simplify:

a)

√4√12

b)

4√12

c)

4√3

d)

2√3

2.

Simplify:

a)

5x√2

b)

100x√2

c)

10x√2

d)

10√2x

3.

Add: 4√7 - 10 √7 + 7√7

a)

-6√7

b)

14√7

c)

-3√14

d)

√7

4.

Factor the Trinomial:
x² - 8x + 15

a)

(x + 5) ( x + 3)

b)

(x - 5) (x - 3)

c)

(x + 15) (x - 1)

d)

(x - 7) (x - 8)

5.

Factor: x² – 5x – 24

a)

(x - 5)(x + 19)

b)

(x - 8)(x + 3)

c)

(x - 3)(x + 8)

d)

(x - 19)(x + 5)

6.

Factor:
x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

7.

This symbol means ...

a)

3.14

b)

22/7

c)

a golden ratio

d)

the ratio of circumference to diameter of a circle

8.

This symbol means ...

a)

greater than

b)

less than

c)

equal to

d)

approximately equal to

9.

The symbol means ...

a)

to square a number

b)

to find the square root of a number

c)

find the distance X is from zero on the number line

d)

divide and then conquer

10.

This symbol means ...

a)

to square a number

b)

to find the square root of a number

c)

find the distance X is from zero on the number line

d)

to divide and conquer

11.

This symbol means

a)

This set of numbers is finite

b)

This set of numbers is infinite

c)

to multiple by 8

d)

to raise to the 8th power

12.

Δ this is the symbol DELTA. It stand for...

a)

the sum of

b)

the difference of

c)

the product of

d)

the quotient of

13.

≌

a)

congruent

b)

equal

c)

not equal

d)

similar

14.

What is the name of this Greek uppercase letter?

a)

E

b)

epsilon

c)

sigma

15.

What is the name of this capital Greek letter?

a)

Delta

b)

Triangle

c)

A

16.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

17.

What does a₁ represent?

a)

Any term

b)

First term

c)

Last term

18.

Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

19.

Is the sequence -432, 72, -12, 2,...geometric?

a)

yes

b)

no

20.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

21.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

22.

What is the 14th term of the geometric sequence?

a)

14,348,907

b)

4,782,969

c)

1,594,323

d)

45

23.

The rule for finding a_n of a geometric sequence is

a_n = 10(2)^n-1_{What is the common ratio(r) of the sequence?}

a)

²

b)

¹⁰

c)

²⁰

d)

2ⁿ

24.

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5^th birthday?

a)

$10

b)

$300

c)

$162

d)

$416

25.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

26.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

27.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

28.

Write the recursive formula for 4, 8, 12...

a)

a_n=a_n-1-7

b)

a_n=a_n-1-4

c)

a_n=a_n-1+3

d)

a_n=a_n-1+4

29.

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-490

c)

-535

d)

460

30.

Determine the sum of the series written in Sigma Notation.

a)

5400

b)

2692

c)

2700

d)

2704

31.

Determine the sum of the series written in Sigma Notation.

a)

45

b)

49

c)

90

d)

47

32.

How many terms are there in the series $\sum_{k=3}^{13}3k+1$

a)

13

b)

11

c)

10

33.

Write 1 + 2 + 3 + ... + 10

using sigma notation

a)

$\sum_{d=1}^9d$

b)

$\sum_{d=1}^{10}d+1$

c)

$\sum_{d=1}^{10}d$

34.

Write 1 + 4 + 9 + ... + 49

using sigma notation

a)

$\sum_{k=1}^7k^2$

b)

$\sum_{k=1}^8k^2$

c)

$\sum_{k=1}^{49}k^2$

35.

$\ \ Evaluate\ the\ \exp ression:\ \ \ \ \sum_{k=1}^4k^3\$

a)

30

b)

100

c)

110

36.

In a radical expression √𝑚 , how do you call 𝑚 ?

a)

radicand

b)

index

c)

root

d)

exponent

37.

$\sqrt{-144}$

a)

12

b)

-12

c)

72

d)

12i

alg 2 practice (with some alg review!)

Total questions: 37

Worksheet time: 2hrs 7mins

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