Quiz about Alg 2 End of nine weeks test Spring 25

Question 1

$$97=-3\left(6n-5\right)-8$$

Accepted Answer

$$-5$$

Answer

$$-10$$

Answer

$$16$$

Answer

$$-2$$

Question 2

10(h+1) - 4 = 76

Accepted Answer

h=7

Answer

h=10

Answer

h=4

Answer

h=76

Question 3

2x - 3 + 4x = 27

Accepted Answer

5

Answer

12

Answer

4

Answer

15

Question 4

Solve for x:
4 - 2(x - 3) = 24

Accepted Answer

- 7

Answer

7

Answer

14

Answer

- 14

Question 5

$$-118=-5\left(4+7x\right)+7$$

Accepted Answer

$$3$$

Answer

$$-5$$

Answer

$$-9$$

Answer

$$-1$$

Question 6

Solve the equation

Accepted Answer

29

Answer

28

Answer

32

Answer

-28

Question 7

6x + 2 + 6x < 14

Accepted Answer

x < 1

Answer

x > 1

Answer

x < -1

Answer

x > -1

Question 8

Is following sequence arithmetic?If yes, find the common difference and next three terms. 8, 10, 13, 17, ...

Accepted Answer

Not arithmetic

Answer

d = 2

Next: 18, 20, 22

Answer

d = 3

Next: 22, 25, 28

Answer

d = 2

Next: 16, 18, 20

Question 9

Is following sequence arithmetic?If yes, find the common difference and next three terms.-10, -1, 8, 17, ...

Accepted Answer

d = 9

26, 35, 44

Answer

d = 9

46, 55, 64

Answer

d = 9

37, 46, 55

Answer

d = 9

28, 37, 46

Question 10

Write the explicit formula then find the 52^nd term: 22, -8, -38, -68,...

Accepted Answer

a_n = 52 - 30n

a₅₂ = -1508

Answer

a_n = 54 - 30n

a₅₂ = -1506

Answer

a_n = 57 - 31n

a₅₂ = -1555

Answer

a_n= 56 -30n

a₅₂ = -1504

Question 11

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

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 12

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

Accepted Answer

yes

Answer

no

Question 13

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

arithmetic

Answer

geometric

Answer

neither

Question 14

What is the 14th term of the geometric sequence?

Accepted Answer

4,782,969

Answer

14,348,907

Answer

1,594,323

Answer

45

Question 15

Find a₁₂ in the sequence -1, -3, -9, -27, ...

Accepted Answer

-177,147

Answer

-19,683

Answer

-59,049

Answer

118,098

Question 16

In an arithmetic sequence if a₁₅ =108 and d=7, find a₁.

Accepted Answer

10

Answer

14

Answer

101

Answer

206

Question 17

Find the sum of a the first n terms of a geometric series where a₁=4, r = -2 and a_n = 16,384

Accepted Answer

10,924

Answer

-10,921.3333333

Answer

10,922

Answer

-10,924

Question 18

Which sequence is represented by the equation a_n = 2(7)^n-1 ?

Accepted Answer

2, 14, 98, 686...

Answer

7, 14, 28, 56...

Answer

2, 9, 16, 23...

Answer

7,9,11,13...

Question 19

What is the explicit formula for the sequence

-5, -3, -1, 1, 3, 5...?

Accepted Answer

a_n = -5 +2(n-1)

Answer

a_n = 2 -5(n-1)

Answer

a_n = -5(2)^n-1

Answer

a_n = 2(-5)^n-1

Question 20

What is $$i^2$$ equal to?

Accepted Answer

$$-1$$

Answer

$$1$$

Answer

$$\sqrt{1}$$

Answer

$$\sqrt{-1}$$

Question 21

What is $$\sqrt{-25}$$ ?

Accepted Answer

$$5i$$

Answer

$$5$$

Answer

$$-5$$

Answer

$$-5i$$

Question 22

Which point represents $$-2+4i$$ ?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 23

Which complex number is represented by the point?

Accepted Answer

$$3-4i$$

Answer

$$4+3i$$

Answer

$$-4+3i$$

Answer

$$3+4i$$

Question 24

$$\sqrt[]{4}\ x\ \ \ \sqrt[]{-6}$$

Accepted Answer

$$2i\ \sqrt[]{6}$$

Answer

$$4i\ \sqrt[\ ]{6}$$

Answer

-2+7i

Answer

$$6\sqrt[]{2}$$

Question 25

Add the following together.

$$\left(3+5i\right)+\left(7+i\right)$$

Accepted Answer

$$10+6i$$

Answer

$$4+4i$$

Answer

$$21+5i$$

Answer

$$10+5i$$

Question 26

Add the following together.

$$\left(-4-3i\right)+\left(-3+2i\right)$$

Accepted Answer

$$-7-i$$

Answer

$$-1-i$$

Answer

$$12-6i$$

Answer

$$-1-5i$$

Question 27

Subtract the following.

$$\left(4+7i\right)-\left(1+i\right)$$

Accepted Answer

$$3+6i$$

Answer

$$5+8i$$

Answer

$$-3+11i$$

Answer

$$3+7i$$

Question 28

Subtract the following.

$$\left(-3-6i\right)-\left(4-5i\right)$$

Accepted Answer

$$-7-i$$

Answer

$$7+i$$

Answer

$$1-i$$

Answer

$$12+30i$$

Question 29

Multiply the following together.

$$\left(2+i\right)\left(3+2i\right)$$

Accepted Answer

$$4+7i$$

Answer

$$8+7i$$

Answer

$$12+12i$$

Answer

$$4+i$$

Question 30

Multiply the following together.

$$\left(-3-3i\right)\left(-2-i\right)$$

Accepted Answer

$$3+9i$$

Answer

$$-5-4i$$

Answer

$$9+9i$$

Answer

$$3+3i$$

Question 31

Simplify

$$\frac{4+3i}{2i}$$

Accepted Answer

$$\frac{3}{2}-2i$$

Answer

$$-2+\frac{3}{2}i$$

Answer

$$-5-2i$$

Answer

$$2+0i$$

Question 32

Simplify

$$\frac{1+i}{2-3i}$$

Accepted Answer

$$-\frac{1}{13}+\frac{5}{13}i$$

Answer

$$\frac{1}{13}-\frac{5}{13}i$$

Answer

$$-1+5i$$

Answer

$$1-5i$$

Question 33

Find the modulus of the complex number.

$$z=3+i$$

Accepted Answer

$$\left|z\right|=\sqrt{10}$$

Answer

$$\left|z\right|=10$$

Answer

$$\left|z\right|=2$$

Answer

$$\left|z\right|=\sqrt{2}$$

Question 34

Find the modulus of the complex number.

$$z=2+5i$$

Accepted Answer

$$\left|z\right|=\sqrt{29}$$

Answer

$$\left|z\right|=5$$

Answer

$$\left|z\right|=2\sqrt{7}$$

Answer

$$\left|z\right|=7\sqrt{2}$$

Question 35

$$i^0$$

Accepted Answer

1

Answer

-1

Answer

$$i$$

Answer

$$-i$$

Answer

$$\sqrt[]{-1}$$

Question 36

$$i^{14}$$

Accepted Answer

-1

Answer

1

Answer

$$i$$

Answer

$$-i$$

Question 37

$$i^{39}$$

Accepted Answer

$$-i$$

Answer

1

Answer

-1

Answer

$$i$$

Question 38

What is the DOMAIN of the graph shown?

Accepted Answer

(-4, 2]

Answer

[-4, 2)

Answer

[2, 5)

Answer

(2, 5]

Question 39

Evaluate f(x) = 3x - 4 at f(3)

Accepted Answer

5

Answer

13

Answer

2

Question 40

Evaluate f(-2) if f(x) = x²+ 5

Accepted Answer

9

Answer

-1

Answer

1

Answer

-9

Question 41

Is the given table a function or not a function?

Accepted Answer

Function

Answer

Not a Function

Question 42

Which set of values is a function?

(Hint: Look at the x-values on the left side! Do any repeat?)

Accepted Answer

(6,-5) (7, -3) (8, -1) (9, 1)

Answer

(9,5) (10,5) (9,-5) (10,-5)

Answer

(3,4) (4,-3) (7,4) (3, 8)

Answer

(2, -2) (5, 9) (5, -7) (1, 4)

Question 43

Is the relation a function? Why.

Accepted Answer

No, because the x-value 11 has two y-values pair with it.

Answer

Yes, because each x-value has only one y-value paired with it.

Question 44

Is this table a function and how can you tell?

Accepted Answer

No it's not a function because the x-value of 2 and 5 repeats

Answer

Yes, it is a function because no x-values repeat.

Question 45

Is this mapping a function and how can you tell?

Accepted Answer

No it's not a function because the x value 5 has two arrows going to 2 and 9.

Answer

Yes its a function because all of the x-values only have one arrow.

Question 46

Which of the following graph is a function?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 47

What point is represented by the ordered pair (3, 0)?

Accepted Answer

A

Answer

W

Answer

B

Answer

J

Question 48

If $$f\left(x\right)=2x$$ and $$g\left(x\right)=2x^2-1$$ find $$f\left(g\left(3\right)\right)$$

Accepted Answer

34

Answer

71

Answer

35

Answer

142

Question 49

If $$f\left(x\right)=2x$$ and $$g\left(x\right)=2x^2-1$$ find $$f\left(g\left(x\right)\right)$$

Accepted Answer

$$4x^2-2$$

Answer

$$4x^2-1$$

Answer

$$8x^2-1$$

Answer

$$16x^2-1$$

Question 50

If $$f\left(x\right)=x^2$$ and $$g\left(x\right)=\sqrt{x}$$ find $$g\left(f\left(x\right)\right)$$

Accepted Answer

$$x$$

Answer

$$x^4$$

Answer

$$\sqrt[]{x}$$

Answer

$$x^2$$

Question 51

If $$g\left(x\right)=x^2+6$$ and $$f\left(x\right)=2x-4$$ , find $$g\left(f\left(x\right)\right)$$

Accepted Answer

$$4x^2-16x+22$$

Answer

$$2x^2-12x-4$$

Answer

$$2x^2+12x-4$$

Answer

$$x^3-2x^2+1$$

Alg 2 End of nine weeks test Spring 25

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