ስለ ምን Topic ይጠየቅ?

1. What is the logarithmic form of the equation 5² = 25?

a) log₅ 25 = 2
b) log₂₅ 5 = 2
c) log₂ 5 = 25
d) log₂₅ 2 = 5

2. If log₂ 8 = x, what is the value of x?

a) 2
b) 3
c) 4
d) 8

3. What is the value of log₁₀ 100?

a) 1
b) 2
c) 10
d) 100

4. Which of the following is NOT a property of logarithms?

a) logₐ (b⋅c) = logₐ b + logₐ c
b) logₐ (b/c) = logₐ b - logₐ c
c) logₐ bⁿ = n⋅logₐ b
d) logₐ b + logₐ c = logₐ (b+c)

5. If log₃ 9 = 2, what is the value of log₃ 27?

a) 1
b) 2
c) 3
d) 4

6. What is the value of log₂ (1/8)?

a) 3
b) -3
c) 1/8
d) 8

7. Which of the following is the equivalent logarithmic form of the equation y = 2ˣ?

a) x = log₂ y
b) y = log₂ x
c) x = logₓ 2
d) y = logₓ 2

8. The pH of a solution is defined as pH = -log₁₀[H⁺], where [H⁺] is the hydrogen ion concentration. If the pH of a solution is 4, what is the hydrogen ion concentration?

a) 10⁻⁴
b) 10⁴
c) 4
d) -4

9. What is the value of log₁₀ 0.1?

a) 1
b) -1
c) 10
d) -10

10. Which of the following is the solution to the equation log₂ (x+1) = 3?

a) 1
b) 2
c) 7
d) 8

1. Which of the following is NOT a polynomial function?

a) f(x) = 3x² + 2x - 1
b) g(x) = √x + 5
c) h(x) = x⁴ - 7x³ + 2
d) k(x) = 2x⁵ + x² - 9

2. What is the degree of the polynomial function f(x) = 5x³ - 2x² + 4x - 1?

a) 1
b) 2
c) 3
d) 4

3. What is the leading coefficient of the polynomial function g(x) = -2x⁴ + 3x² - 1?

a) -2
b) 3
c) 1
d) 4

4. What is the end behavior of the polynomial function h(x) = -x⁵ + 2x² - 3?

a) As x → ∞, h(x) → ∞; as x → -∞, h(x) → -∞
b) As x → ∞, h(x) → -∞; as x → -∞, h(x) → ∞
c) As x → ∞, h(x) → ∞; as x → -∞, h(x) → ∞
d) As x → ∞, h(x) → -∞; as x → -∞, h(x) → -∞

5. How many real zeros does the polynomial function k(x) = x⁴ - 5x² + 4 have?

a) 1
b) 2
c) 3
d) 4

6. Which of the following is a factor of the polynomial function f(x) = x³ - 2x² - 5x + 6?

a) (x - 1)
b) (x - 2)
c) (x + 3)
d) (x - 6)

7. What is the remainder when the polynomial function g(x) = x³ + 2x² - 5x + 1 is divided by (x - 2)?

a) -1
b) 1
c) 5
d) 9

8. What is the multiplicity of the zero x = -2 for the polynomial function h(x) = (x + 2)² (x - 1)?

a) 1
b) 2
c) 3
d) 4

9. What is the y-intercept of the polynomial function k(x) = 2x³ - x² + 3x - 5?

a) -5
b) 3
c) 2
d) 1

10. Which of the following polynomial functions has a graph that is symmetric about the y-axis?

a) f(x) = x³ + 2x² - 1
b) g(x) = 2x⁴ - 5x² + 3
c) h(x) = x⁵ - 4x³ + x
d) k(x) = -x⁶ + 7x⁴ - 2x² + 1

@ElevateTutor_bot መመዝገቢያ bot

Answer Key:

1. a) log₅ 25 = 2
2. b) 3
3. b) 2
4. d) logₐ b + logₐ c = logₐ (b+c)
5. c) 3
6. b) -3
7. a) x = log₂ y
8. a) 10⁻⁴
9. b) -1
10. c) 7

https://t.me/ElevateEnglishgroup


Improve your speaking skill

Answer Key:

1. b) g(x) = √x + 5
2. c) 3
3. a) -2
4. b) As x → ∞, h(x) → -∞; as x → -∞, h(x) → ∞
5. d) 4
6. a) (x - 1)
7. d) 9
8. b) 2
9. a) -5
10. d) k(x) = -x⁶ + 7x⁴ - 2x² + 1

1. Complete the sequence: 2, 4, 8, 16, __

a) 24
b) 32
c) 64
d) 128

If A = 1, B = 2, C = 3, and so on, what is the value of "CAT"?

a) 31
b) 24
c) 53
d) 315

መልሱ ያው 32 ነው በእጥፍ አየጨመረ ስለሆነ

ይመለስ ወይስ ለነገው የቤት ስራ ይሁን?

A. 1 ነው
B. 2 ነው
C. 3 ነው
...
T. 20 ነው

CAT =3+1+20 =24

Which number completes the pattern? 1, 4, 9, 16, 25, __

a) 36
b) 49
c) 64
d) 81

If it takes 3 men 3 hours to dig 3 holes, how long does it take 1 man to dig 1 hole?

a) 1 hour
b) 3 hours
c) 9 hours
d) 27 hours

በነገራችን ላይ private ትምህርት መስከረም 20 ይጀምራል Elevate premium for Grade 9-12
@elevadmin ይመዝገቡ

1. Which of the following is an arithmetic sequence?
  - A 2, 4, 8, 16
  - B 5, 10, 15, 20
  - C 1, 1, 2, 3, 5, 8
  - D 1, 4, 9, 16


2. What is the common difference in the arithmetic sequence 3, 7, 11, 15...?
  - A 4
  - B 3
  - C 2
  - D 5


3. What is the sum of the first n natural numbers?
  - A n(n + 1)
  - B (n(n + 1))/2
  - C n^2
  - D (n^2 + n)/2


4. Which of the following is a geometric sequence?
  - A 1, 3, 6, 10
  - B 2, 4, 8, 16
  - C 1, 2, 4, 8
  - D 5, 7, 9, 11
 

5. What is the nth term of the sequence defined by a_n = 5 + 3(n - 1)?
  - A 3n + 2
  - B 3n + 5
  - C 3n - 1
  - D 2n + 1

What is the next letter in this sequence? A, C, F, J, O, __

a) T
b) U
c) V
d) W

History quiz
Who was the last emperor of Ethiopia before the overthrow of the monarchy in 1974?
    a) Haile Selassie I
    b) Menelik II
    c) Yohannes IV
    d) Tewodros II