Basic Algebra Skills Test

Basic Algebra Skills Test

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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

Check if 72/105 is equal to 2/3

a. Yes

b. No

How many terms are there in the following expression:

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

a. 3

b. 1

c. 2

d. 5

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

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

a. 54.3

b. 54.34

c. 54.4

d. 53.4

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

Find the value of the ? in the following equation:

3x/4y=?/xy

a. 3x/4

b. 3x2/4x

c. 9x2/12

d. 9x2/4

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

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)

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 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

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

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)

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 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

Find the value of 134.

a. 28564

b. 28561

c. 28651

d. 28971

Simplify the following equation and choose the result from the given options:

√(x3y3/a6b5)

a. (x2y2√b)/[a3b3√(xy)]

b. (x2y3√b)/[a3b3√(xy)]

c. (x2y2√b)/[a3b2√(xy)]

d. (x2y2)/[a3b3√(xy)]

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

a. 6xy + 9x2 + 4y2

b. 12xy + 9x2 + 8y2

c. 12xy + 9x2 + 4y2

d. 9x2 + 4y2 + 6xy

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

a. 2(2-x)

b. 2(3-x)/x

c. (2-x)/x

d. 3(2-x)/x

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

a. 356a = 2 + 489b

b. 489b = -2 + 356a

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

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

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

a. Both can be converted to continued inequality.

b. Only second condition can be converted to continued inequality.

c. Only the first condition can be converted to continued inequality.

d. None of these can be converted to continued inequality.

What is the coefficient of x in the equation:

(x + 3)(2x + 1)

a. 7

b. 6

c. 5

d. 8

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

What is the solution to the following expression:

(an + bm)(an-bm)

a. a2n2 + b2m2

b. a2n2-b2m2

c. -a2n2 + b2m2

d. a2m + b2m

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

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

a. (2y-3)/(3y-2)

b. (2y-5)/(3y-2)

c. (2y-3)/(3y-1)

d. (2y-3)/(3y-4)

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

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

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

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

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

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

a. 456

b. 768

c. 786

d. 678

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)

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

4x2 + 7xy + 3y2

a. (3y + 4x)(2x + y)

b. (4x + 3y)(x + 2y)

c. (x + y)(3y + 4x)

d. (x + y)(4y + 3x)

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

a. -(22+7i)

b. -(22-7i)

c. 22+7i

d. -22+7i

Check if the following equation is valid or not.

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

a. Yes

b. No

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.

a. 70

b. 150

c. 100

d. 50

Find the value of the following expressions respectively:

- 7 × 57, - 392 × - 3

a. - 399,1176

b. 399, - 1176

c. 389, - 1176

d. - 389,1176

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

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

a2b3c4d1d4b3c2ac6b3a2d

a. a4b5c11d6

b. a5b9c12d6

c. a5b9c6d4

d. a5b9c10d4

What is a binomial and a trinomial?

a. A binomial is multiplication of two factors and a trinomial is multiplication of three factors.

b. A binomial is multiplication of two terms and a trinomial is multiplication of three terms.

c. A binomial is sum of two terms and a trinomial is sum of three terms.

d. A binomial is sum of two terms but a trinomial is a multiplication of three terms.

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

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

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

a. -1.5, 4.5

b. -1.5, 2.5

c. 2.5, -4.5

d. 1.5, -4.5

Find the value of x from the equation:

3x/4 + 2x/3=51

a. 12

b. 36

c. 17

d. 34

Find the value of the following expression:

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

where a is a variable.

a. 0.25/a

b. 10/a

c. 34/a

d. 0

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.

a. 9,10

b. 11,12

c. 10,11

d. 8,9

Find the factors of the expression:

2x3 + 7x2y + 3xy2

a. x2(2x + y)(x + 3y)

b. x(2x2 + y)(x + 3y)

c. x(2x + y)(x + 3y)

d. x(2x + y)(2x + 3y)

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

a. ( √3-2i)/7

b. ( √3-2i)

c. 7( √3-2i)

d. 14( √3-2i)