Basic Algebra Skills Test

Basic Algebra Skills Test

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)

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

a. √12/4
b. (√3√4)/2
c. √3√4
d. ( √3√4)/4

Check if the following inequality holds or not?

a > 7b for a = 343 and b = 6.8 × 7.2

a. Yes
b. No

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

Evaluate the equation:

18x5/6x3=192

a. ±18
b. ±64
c. ±8
d. ±24

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

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 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)