Free Printable Alg 2 Fall 2024

1.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

2.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

3.

True or False: This is an exponential function.

a)

True

b)

False

4.

Which function models this table?

a)

$f\left(x\right)=2\cdot4^x$

b)

$f\left(x\right)=4^x$

c)

$f\left(x\right)=4\cdot2^x$

d)

$f\left(x\right)=8^x$

5.

Solve for x:

$x=2\left(3\right)^{2\left(2\right)}$

a)

24

b)

18

c)

162

d)

81

6.

What is the equation for this graph?

a)

y=2(5)^x

b)

y=2(4)^x

c)

y=3(2)^x

d)

y=2(3)^x

7.

What is the equation for this graph?

a)

y=3^x- 1

b)

y=3^x

c)

y=3^x- 2

d)

y=4^x- 1

8.

What is the equation for this graph?

a)

y=2^x - 4

b)

y=3^x - 5

c)

y=2^x - 5

d)

y=3^x - 3

9.

What would the value be at x=2?

y=700(1.05)^x

a)

771.75

b)

711.15

c)

777.55

d)

701.51

10.

What would the value be at t=3

y=800,000(1.14)^t

a)

495,015.27

b)

1,855,847.58

c)

1,937,455.99

d)

1,185,235.20

11.

Which graph corresponds to the exponential function $y=4^x$ ?

a)

b)

c)

d)

12.

Given the function $y=3\left(2\right)^x$ , fill in the blank in the table when $x=5$ .

a)

96

b)

7776

c)

30

d)

$-30$

13.

Which graph corresponds to the exponential function $y=4^x$ ?

a)

b)

c)

d)

14.

Which graph is an exponential function?

a)

red

b)

blue

c)

green

d)

none

15.

Given the exponential function $y=-2\left(3\right)^x+5$ , please find the value of y when $x=6$ .

a)

$y=-1453$

b)

$y=4.997$

c)

$y=-1$

d)

$y=-31$

16.

Evaluate $f\left(x\right)\ =\ e^{3x}$

$f\left(2\right)$

a)

$e^6$

b)

$e^{-6}$

c)

$e^9$

d)

None of the Above

17.

$f\left(x\right)=4^{-x}$ Evaluate $f\left(3\right)$ .

a)

$64$

b)

$\frac{1}{64}$

c)

$-64$

d)

$-\frac{1}{64}$

18.

Which of the following is not an exponential function?

a)

$g\left(x\right)\ =\ x^{3\ }+2x-1$

b)

$f\left(x\right)\ =\ e^{4x\ }$

c)

$h\left(x\right)\ =3^{x\ }$

d)

All of the Above are Exponential Functions

19.

$f\left(x\right)\ =8^{x\ }+4$ Evaluate $f\left(\frac{1}{3}\right)$

a)

8

b)

4

c)

2

d)

6

20.

$f\left(x\right)=4^{x\ }+3x-x^{3\ }+100$ Evaluate $f\left(-1\right)$

a)

98.25

b)

96.25

c)

94

d)

92

21.

What would x must equal in order for $f\left(x\right)=\frac{1}{5}$ ? Let $f\left(x\right)\ =\ 25^{x\ }$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$2$

d)

$-2$

22.

$\sqrt[]{-36}$

a)

6

b)

-6

c)

-6i

d)

6i

23.

Simplify.

a)

b)

c)

d)

24.

What is the simplified form of -6i x 3i

a)

-18

b)

-18i

c)

18

d)

-18i²

25.

Calculate:
-4 (13 + 5i)

a)

-52 − 20i

b)

9 + i

c)

17 − 20i

d)

-52 + 20i

26.

Simplify: $\sqrt[]{-18}$

a)

-8

b)

$3i\ \sqrt[]{2}$

c)

$2i\ \sqrt[]{3}$

d)

$7i\ \sqrt[]{3}$

27.

Another way to express √-1 is?

a)

1

b)

-1

c)

i

d)

0

28.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

29.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

30.

Categorize the following number: $9-3i$

a)

Complex

b)

Complex, Real, Imaginary

c)

Complex, Imaginary

d)

Imaginary, Real

31.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

32.

Simplify
2i - 7i + 10

a)

-5i+10

b)

5i

c)

9i+10

d)

5i+10

33.

Simplify
3i - (4 + 7i)

a)

-4 + 10i

b)

21 - 12i

c)

4 - 10i

d)

-4 - 4i

34.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

35.

The next term of the sequence 2,4,8,16 are

a)

64

b)

32

c)

108

d)

20

36.

What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?

a)

Arithmetic

b)

Geometric

c)

Neither

37.

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

a)

Arithmetic

b)

Geometric

c)

Neither

38.

Which of the following is not an arithmetic sequence?

a)

1/2, 1, 3/2, 2

b)

11, 14, 17, 20

c)

2, 4, 8, 16

d)

5, 2, -1, -4

39.

5, 15, 45, 135 is a ...

a)

Geometric sequence with r = 3

b)

Geometric sequence with r = 1/3

c)

Arithmetic sequence with d = 10

d)

Arithmetic sequence with d = 3

40.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

41.

Find the sequence 10, 20, 30, 40.........

a)

Multiply by 10

b)

Add 10

c)

Multiply by 2

42.

Which of the following recursive formulas represents the given sequence.

7, 14, 28, 56, 112, ...

a)

$a_1=7$ , $a_n=a_{\left(n-1\right)}+7$

b)

$a_1=7$ , $a_n=a_{\left(n-1\right)}\cdot7$

c)

$a_1=7$ , $a_n=a_{\left(n-1\right)}\cdot2$

d)

$a_1=7$ , $a_n=a_{\left(n-1\right)}+14$

Alg 2 Fall 2024

Total questions: 42

Worksheet time: 3hrs 11mins

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