Basic Basic Algebra MCQ

1. Find the missing value in 3/x=?/(2-x)

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2.

Find the factors of the expression:

2x3+ 7x2y + 3xy2

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3. Choose the correct answer from the options after reducing (2xy-3x-4y + 6)/(3xy-2x-6y + 4) to lowest terms using factorization.

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4.

Find the value of the following expression:

[ 5 - ( 3 + 2 ) ] / 2a

where a is a variable.

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5. What will be the result after addition (5x/2y) + (3x2/y2)?

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6.

What is the coefficient of x in the equation:

(x + 3)(2x + 1)

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7.

What will be the value of:

(343)1/4(343)-1/12

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8.

Check if the following inequality holds or not?

a > 7b for a = 343 and b = 6.8 × 7.2

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9. There are two consecutive numbers. Sum of 1/4th of first number and 3/2 of second number is equal to 19. Find the two numbers.

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10.

Which of the following is the compact form of the equation:

a2b3c4d1d4b3c2ac6b3a2d

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11.

Find the value of the following expressions respectively:

- 7 × 57, - 392 × - 3

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12. What is the reciprocal of 2 / 4?

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13.

What will be the result after solving the expression:

(ax + b + cy)(2a + 3b + c)

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14. Simplify 1/[(1/√2)+(1/√3)] and choose the answer from the options given below.

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15.

What will be the value of the following expression:

75ax /15bx 

given that a, b, and x are variables.

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16.

Check if the following equation is valid or not.

(5x + 2y)3=125x3 + 8y3 + 150x2y + 60xy2

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17. What is the value of 8a4 for a = 3?

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18. Given |a| < 5. Which one of the following continued inequalities depicts this relation?

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19.

What will be the result of the following expression:

465 – 792 + 289x - 54, for x = -2?

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20. What is a binomial and a trinomial?

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21.

Which one of the following is the simple form of the fraction:

343x5y3xy2z7 / 7x2y14z3

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22.

Which of the following equations is/are true?

I) √(ab)= √a√b,

II) √(ax + b)= √a√x + √b,

III) √(ab + 3ab)= 2√a√b

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23. Which of the following are rational numbers:

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24.

Evaluate the given expression:

3a × { [ 4b × ( 18 / a)] + 2 }

for a = 3,b = 4

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25.

Which of the following is/are factors of the trinomial expression:

4x2 + 7xy + 3y2

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26.

Find the correct inverse of the inequality:

4x + 5 > 3y

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27.

Solve and find the value of x from the following equation.

x2 - 65=160

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28.

Find the suitable answer that tells if the given conditions can be converted to continued inequalities or not, respectively.

Condition 1: x > 1 and x < 5

Condition 2: x < 1 and x > 5

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29.

How many terms are there in the following expression:

ax + (b + 2y)+(c+9)

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30. Find the value of -(-11)3

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31. Find the cube of (1.0x + 1.0y + 3.0z).

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32. Which of the following is equal to (12x) / (√3√4), for x=1/2?

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33. Evaluate: √(3×20×12×5)

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34. What is the square root of 2401?

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35. 2/3rd of a number is added to 3/5th of the same number and the result is equal to 6. Find the approximate value of the number.

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36.

What will be the result after solving the fraction:

(-3x2/4y-3)-3

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37. The sum of the age of person A and twice the age of person B is greater than the age of Person C. Find the inequality that depicts the given statement.

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38.

Find the values of x from the following equation:

i23x+x2+3=31 where i is a complex number.

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39.

Find the value of x from the equation:

3x/4 + 2x/3=51

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40.

Find the value of x from the equation:

3x + 2y + 7 = 0

where y = 2.2.

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41.

What will be the value of the following expressions respectively?

16 / | - 4| , - 16 / |4| , 3 / | - 2|

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42. Find the square root of √(-256x2) for x=2.

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43.

Find all the integer values of x for which the following inequality is satisfied.

|x - 1| > 4

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44.

Find the value of the following expressions respectively:

- 111/ 3, - 135/ - 5, 456 / - 8

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45. Find the value of 134.

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46. Solve a3(1 + a) for a=2 and also find the correct form of distributive rule for the given expression. The solution and the distributive form are given in the options respectively.

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47.

What is the value of the expression:

- 4 × 5 + ax / bx2 - 55 / ( - 11 )

for a = 2, x = 5, b = 1?

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48.

Find the value of x from the following equation:

5x3=625

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49.

What is the number of factors in the third term of the following expression:

a + bx+ ( c + d)× 3

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50. Sandy had some money with her. She saved ½ of the money, spent 1/3rd of the remaining money on shopping, spent 1/4th of the remaining money for paying electricity bill, and at the end, she was left with $60. Find the money that she had initially before spending or saving.

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51. Which of the following represents the square of (3x + 2y)?

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52. Which of the following is the correct inverse of 356a + 489b = 2?

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53.

Simplify the following equation:

2/(x-3) + 3/(x-4) and also find the value for x=2.

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54. Find the value of x from the equation (2x + 3)2=36.

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55. Check if 72/105 is equal to 2/3

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56. Symond deals in diamonds. He bought 3 diamonds for $4500. The price of the first diamond is half the price of the second diamond. The price of the second diamond is 1/3rd of the price of the third diamond. Find the cost of the first, second, and third diamond respectively.

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57.

Find the solution to the following equation:

9a + 4bx + 3cy = 2bx2 + 2cy

for x = 2,y = 4.

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58.

Find the value of x from the given equation:

ax2+ 2bx2+ √cx2=2080 where a=1, b=2,c=0.04

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59. Find a + b for a = 21.5 and b = 32.9.

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60.

What will be the value after solving the expression:

4 × 1 / 4 + 1 / 4a

for a = 2 ?

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61.

Check whether the equation is valid or not:

5a - 2b + 6c = 3a + 30

for a = 2,b = 2,c = 5.

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62. What will be the answer after the negation of 365, 450 - 472, - (340 - 288 ), and ( 689 - 340 ) respectively?

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63.

Evaluate the expression:

3a - 4b + 6c + a - 2b - 2a + 3b - 4c + a + 2c

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64. Ron bought 4 books B1, B2, B3 and B4 for $450. The price of two books, B1 and B3 is the same. The price of B2 is twice the price of B1. Find the price of book B4 if the price of Book B1 is $75.

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65.

Evaluate the following expression and choose the correct answer from the options given below:

( 4× 5 ) / 8 + 2 - ( 3 / 4 )

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66. What will be the value of the expression 2a5×3a2 for a=2?

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67.

Find the correct set of answers for the following expressions:

I) a + ( b × 4 )

II) a× ( b + 3 )

III) ( a× b)+ 3

given that a = 14 and b = 23.

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68.

Which of the following equations on expanding will result in the given equation:

15ax + 9a + 6ay + 10x + 6 + 4y + 5bx + 3b + 2by

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69. Find the square of (3x + 4y + 2z).

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70.

What is the result after solving the following expression:

4 × 63 + 24 / 8 - 4 × 29 + 65 / 10

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71.

One number is 4/5th of the another number. The sum of the reciprocals of the two numbers is 45. Find the two numbers.

One number is 4/5thof the another number. The sum of the reciprocals of the two numbers is 45. Find the two numbers.

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72.

Find the value in the following equation:   

3x/4y=?/xy

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73.

Select the correct answer from the options given below that is equal to:

√(81×36)

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74. Simplify (5i+4)(2i-3) and choose the answer from the options given below.

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75. What is the cube of (ax + by) for a=2 and b=3?

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76.

Simplify the following equation using its LCM:

a/xp + b/yq + c/zr=0

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77. Which of the following is equal to 1/(√3+2i)?

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78. Simplify the following equation and choose the result from the given options: √(x3y3/a6b5)

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