# Basic Algebra Skills Test

**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)

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

a. 9x^{2}+ 16y^{2}+ 4z^{2} + 24xy + 8yz + 12xz

b. 9x^{2}+ 16y^{2}+ 4z^{2} + 12xy + 16yz + 24xz

c. 9x^{2}+ 16y^{2}+ 4z^{2} + 24xy + 16yz + 12xz

d. 9x^{2}+ 16y^{2}+ 4z^{2} + 12xy + 16yz + 24xz

**Check if 72/105 is equal to 2/3**

a. Yes

b. No

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

a. √2/(√2+√3)

b. 2√3-3√2

c. 3√2-2√3

d. √3/(√2+√3)

**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.**

a. C – 2B > A

b. C – A > 2B

c. A + ( – 2B)< C

d. C – 2B < A

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

√(x^{3}y^{3}/a^{6}b^{5})

a. (x^{2}y^{2}√b)/[a^{3}b^{3}√(xy)]

b. (x^{2}y^{3}√b)/[a^{3}b^{3}√(xy)]

c. (x^{2}y^{2}√b)/[a^{3}b^{2}√(xy)]

d. (x^{2}y^{2})/[a^{3}b^{3}√(xy)]

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

a. – 365, – 22,-52,-349

b. -365,22, – 52, – 349

c. – 365,22,52,349

d. – 365,22,52, – 349

**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.