Workshop Calculation and Science

Module 4 - Algebra

1: What is the value of 14x+3y+25x+2y?
A : 17x + 27y
B : 16x + 28y

C : 39x + 5y
D : 44xy

2: What is the multiplication value of 5a²b x 8a⁵b³?

A : 40a⁷b⁴
B : 40a³b²
C : 40a⁴b⁷
D : 40a²b³

3: What is the simplified value of (3x + 15) /5x + 25)
A : 5/3

B : 3/5
C : -5/3
D : -3/5

4: What is the value of x if 13+x =20?
A : 8

B : 7
C : 9
D : 13

5: What is the value of x, if x (120) = 960?
A : 6
B : 7

C : 8
D : 10

6: What is the formula for aᵐ x aⁿ?

A : aᵐ⁺ⁿ
B : aᵐ⁻ⁿ
C : aᵐⁿ
D : n.aᵐ

7: Which is the formula for aᵐ / aⁿ
A : aᵐ⁺ⁿ

B : aᵐ⁻ⁿ
C : aᵐ ˣ ⁿ
D : (aᵐ)ⁿ

8: What is the value of any number raised to the power of 0?
A : 0

B : 1
C : -1
D : α

9: What is the value of 1 / aᵐ ?
A : aᵐ

B : a-ᵐ
C : ᵐ√a
D : ᵃ√m

10: Which is equal to (aᵐ)ⁿ?
A : aᵐ⁻ⁿ
B : aᵐ⁺ⁿ
C : aᵐ/ⁿ

D : aᵐⁿ

11: What is the expanded form of (a+b)²?
A : a² + 2ab + b²
B : a² - 2ab + b²
C : a² + 2ab - b²
D : -a² - 2ab + b²

12: What is the formula for (a-b)²?

A : a²- 2ab + b²
B : a² + 2ab + b²
C : a² - 2ab - b²
D : -a² - 2ab - b²

13: Which is equal to (a+b)²-(a-b)²?
A : 2ab
B : 3ab

C : 4ab
D : 5ab

14: What is the value of a x a² x a³ x a⁴ ?
A : a⁷
B : a⁸
C : a⁹

D : a¹⁰

15: What is the value of (a⁵)⁷?
A : a³⁵
B : a1²
C : a²1
D : a²²

16: What is the value of 625°?
A : 0

B : 1
C : 525
D : 25

17: What is the value of 1 / aˉ⁵ ?

A : a⁵
B : a⁻⁵
C : 5a
D : -5a

18: What is the value of 5x⁴ / 5x³ ?
A : 5x
B : 5x²

C : x
D : 5x⁴/³

19: What is the subtracted value of 3x - 4x² +2y² from 4y²-2x + 8x²?

A : 2y²- 5x + 12x²
B : 2y²+ 5x -12x²
C : 2y² - 5x -12x²
D : -2y²-5x + 12x²

20: What is the value of adding (5x+2y), (4x - 7z) and (15z - 3y)?

A : 9x - y + 8z
B : x - 9y + 8z
C : x + 9y + 8z
D : 9x + y - 8z

21: What is the value of 12x³y² / 4x²y?
A : 8xy
B : 16xy

C : 3xy
D : -3xy

22: What is the value of x, if 3 (2x - 4) = -4x + 28 ?

A : 4
B : 8
C : 6
D : 12

23: What is the value of x if (x + 2) / 2 = 19?
A : 38
B : 33
C : 35

D : 36

24: What is the value of x if 11x+4=37?
A : 2

B : 3
C : 4
D : 5

25: What is the value of 1/aᵐ?
A : aᵐ

B : a-m
C : √aᵐ
D : a1

26: What is the value of am/n?
A : am-n
B : am+n
C : 1 / aᵐ

D : ⁿ√aᵐ

27: Which is the expansion of a³ + b³?
A : (a-b) (a² + b² - ab)

B : (a+b) (a² + b² - ab)
C : a³ + b³ + 3ab (a+b)
D : a³ - b³ + 3ab (a-b)

28: What is the expansion of (a+b+c)²?
A : a² + b²+ c²+ 2 (ab + bc + ca)
B : a² + b² + c²- 2ab + 2bc + 2ca
C : a² + b² + c² + 2ab - 2bc + 2ca
D : a² - b² - c² + 2ab + 2bc + 2ca

29: Which is expanded form of a³- b³?
A : (a+b) (a² - b²- ab)

B : (a-b) (a² + b² + ab)
C : (a-b) (a² - b² - ab)
D : (a-b) (a² - b²+ ab)

30: What is the value of (6³) / ((-3)³) ?
A : 8

B : -8
C : 27
D : -27

31: What is the value of x²-y² if (x+y) = 9, (x - y)= 4?
A : 13
B : 65

C : 36
D : 46

32: What is the value of ʹXʹ if x - y = 6 and x + y = 8?
A : 5
B : 6

C : 7
D : 14

33: What is the value of a²+b² if a+b=9 and ab = 20?
A : 121
B : -121

C : 41
D : -41

34: What is the value of ab if (a+b)²=36 (ab)²=24?
A : 6
B : 4

C : 3
D : 2

35: What is the value of x³+3y²x² if x=3, y=2?

A : 135
B : 81
C : 54
D : 63

36: What are the three consecutive numbers if there sum is 42?
A : 11,12,13
B : 12,13,14

C : 13,14,15
D : 14,15,16