The following Basic Algebra MCQs have been compiled by our experts through research, in order to test your knowledge of the subject of Basic Algebra. We encourage you to answer these 70+ multiple-choice questions to assess your proficiency.

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A. (x2y2√b)/[a3b3√(xy)]

B. (x2y3√b)/[a3b3√(xy)]

C. (x2y2√b)/[a3b2√(xy)]

D. (x2y2)/[a3b3√(xy)]

A. ( √3-2i)/7

B. ( √3-2i)

C. 7( √3-2i)

D. 14( √3-2i)

Simplify the following equation using its LCM:

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

A.

(cxpyq + axpyq + bxpzr)/(xpyqzr)=0

B.

(cxpyq + ayqzr + bxpzr)/(xpyqzr)=0

C.

(cxpyq + ayqzr + bxpyq)/(xpyqzr)=0

D.

(ayqzr + czryq + bxpzr)/(xpyqzr)=0

A. 8x3 + 27y3 + 12x2y + 54xy2

B. 8x3 + 27y3 + 6xy(2x + 3y)

C. 8x3 + 27y3 + 6x2y + 6xy2

D. 8x3 + 27y3 + 36x2y + 54xy2

A. -(22+7i)

B. -(22-7i)

C. 22+7i

D. -22+7i

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

√(81×36)

A.

9√64

B.

12√9

C.

18√9

D.

√16

Find the value in the following equation:

3x/4y=?/xy

A.

3x/4

B.

3x2/4x

C.

9x2/12

D.

9x2/4

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.

A.

±18

B.

±64

C.

±8

D.

±24

What is the result after solving the following expression:

4 × 63 + 24 / 8 - 4 × 29 + 65 / 10

A.

125

B.

144.5

C.

145.5

D.

145.6

A. 9x2 + 16y2 + 4z2 + 24xy + 8yz + 12xz

B. 9x2 + 16y2 + 4z2 + 12xy + 16yz + 24xz

C. 9x2 + 16y2 + 4z2 + 24xy + 16yz + 12xz

D. 9x2 + 16y2 + 4z2 + 12xy + 16yz + 24xz

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

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

A.

(3a + 3 + 5b)(5x + 2 + 2y)

B.

(3a + 3 + b)(5x + 1 + 2y)

C.

(5a + 3 + 5b)(3x + 1 + 2y)

D.

(3a + 2 + b)(5x + 3 + 2y)

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.

A.

106,304,507

B.

106,362,325

C.

140,364,107

D.

106,364,325

A. 456

B. 768

C. 786

D. 678

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

( 4× 5 ) / 8 + 2 - ( 3 / 4 )

A.

3

B.

3.75

C.

3.25

D.

3

A. 70

B. 150

C. 100

D. 50

Evaluate the expression:

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

A.

3a + 3b + 4c

B.

2a - 3b - 4c

C.

3a - 4b + 4c

D. 3a - 3b + 4c

E.

A. - 365, - 22,-52,-349

B. -365,22, - 52, - 349

C. - 365,22,52,349

D. - 365,22,52, - 349

Check whether the equation is valid or not:

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

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

A.

Yes

B.

No

What will be the value after solving the expression:

4 × 1 / 4 + 1 / 4a

for a = 2 ?

A.

1.25

B.

1.5

C.

1.125

D.

1.725

A. 54.3

B. 54.34

C. 54.4

D. 53.4

Find the value of x from the given equation:

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

A.

√30

B.

±20

C.

√40

D.

±40

Find the solution to the following equation:

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

for x = 2,y = 4.

A.

9a = - 4c

B.

9a = 4c

C.

9a + 2b + 4c = 0

D.

9a - 2b + 2c = 0

A. 550, 950, 3000

B. 450, 1500, 2550

C. 500, 1000, 3000

D. 400, 1100, 3000

A. Yes

B. No

A. -1.5, 4.5

B. -1.5, 2.5

C. 2.5, -4.5

D. 1.5, -4.5

Simplify the following equation:

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

A.

(x-7)/(x2-4x + 12), Value of expression at x=2 is 3

B.

(x-7)/(x2-7x + 12), Value of expression at x=2 is -2.5

C.

(x-7)/(x2-7x + 12), Value of expression at x=2 is 1.5

D.

(5x-17)/(x2-7x + 12), Value of expression at x=2 is -3.5

A. 356a = 2 + 489b

B. 489b = -2 + 356a

C. 489b = -356a - (-2)

D. -2 = -356a + (-(-489b))

A. 6xy + 9x2 + 4y2

B. 12xy + 9x2 + 8y2

C. 12xy + 9x2 + 4y2

D. 9x2 + 4y2 + 6xy

A. 300

B. 500

C. 200

D. 240

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

a + bx+ ( c + d)× 3

A.

2

B.

3

C.

4

D.

1

Find the value of x from the following equation:

5x3=625

A.

5

B.

25

C.

125

D.

15

What is the value of the expression:

- 4 × 5 + ax / bx2 - 55 / ( - 11 )

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

A.

14.4

B.

- 14.8

C.

- 14.6

D.

14.6

A. 8, a4 + a3

B. 8, a + a4

C. 24, a + a4

D. 24, a3 + a4

A. 28564

B. 28561

C. 28651

D. 28971

Find the value of the following expressions respectively:

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

A.

37,27, - 57

B.

- 37,27, - 57

C.

35, - 27,57

D.

- 37,29, - 57

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

|x - 1| > 4

A.

x > 5

B.

x ≤ 5

C.

x > 5 and x < - 4

D.

x > 5 and x ≤ - 4

A. 16i

B. -32i

C. 32i

D. 16

What will be the value of the following expressions respectively?

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

A.

- 4,4,1.5

B.

4, - 4,1.5

C.

4, - 4, - 1.5

D.

- 4,4,1.5

Find the value of x from the equation:

3x + 2y + 7 = 0

where y = 2.2.

A.

- 3.8

B.

3.8

C.

- 4.62

D.

4.62

Find the value of x from the equation:

3x/4 + 2x/3=51

A.

12

B.

36

C.

17

D.

34

Find the values of x from the following equation:

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

A.

7,-4

B.

-7,4

C.

-4,-7

D.

4,7

A. C - 2B > A

B. C - A > 2B

C. A + ( - 2B)< C

D. C - 2B < A

What will be the result after solving the fraction:

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

A.

-64/(27x6y9)

B.

64/(27x6y9)

C.

-64/(9x6y9)

D.

-64/(27x-6y9)

A. 4.74

B. 4.54

C. 3.82

D. 5.53

A. 51

B. 49

C. 39

D. 41

A. 120

B. 40

C. 60

D. 80

A. √12/4

B. (√3√4)/2

C. √3√4

D. ( √3√4)/4

A. (1.0x + 1.0y + 3.0z)(x2 + y2 + 9z2 + 6xy + 2yz + 6xz)

B. (x + y + 3z)(x2 + y2 + 9z2 + 2xy + 6yz + 6xz)

C. (x + y + 3z)(x2 + y2 + 9z2 + 6xy + 6yz + 6xz)

D. (1.0x + 1.0y + 3.0z)(x2 + y2 + 9z2 + 2xy + 2yz + 6xz)

A. -1211

B. 1331

C. -1331

D. -1131

How many terms are there in the following expression:

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

A.

3

B.

1

C.

2

D.

5