SOLVING LITERAL EQUATIONS ON SAT WORKSHEET

Problem 1 :

If X = (X + 1)/(Y + Z), find X in terms of Y and Z.

Solution

Problem 2 :

If x(y + 2) = y, find y in terms of x.

Solution

Problem 3 :

If a/b = (a + 1)/2c, find a in terms of b and c.

Solution

Problem 4 :

If t = (2/3)ax, find ax in terms of t.

Solution

Problem 5 :

If 3x + 6y = 7z, find x + 2y in terms of z.

Solution

Problem 6 :

If x + 5 = 2b, find 2x + 10 in terms of b.

Solution

Problem 7 :

If (a – 1)/2t = a, find 4t in terms of a.

Solution

Problem 8 :

If (p – h)/(p + h) = 2/3, find p/h.

Solution

Problem 9 :

If (1 + 2r)/(1 – t) = 1/2, find t in terms of r.

Solution

Problem 10 :

If x^y = z, then find x^2y in terms of z.

Solution

Problem 11 :

If (4^{x + 1})/(x³ – x²) = p(x⁵ – x⁴), what is p in terms of x ?

Solution

Problem 12 :

If 2^x(x³ – 1/x) = m(x² + 1) – 1/x², what is m in terms of x ?

Solution

Problem 13 :

If ((√x + 1)/(5x² – 3) – x³) = 1/nx, what is n in terms of x ?

Solution

Problem 14 :

If a(b² + 2) + c = 5(c + 1)³, what is a in terms of b and c ?

Solution

Problem 15 :

If k(x² + 4) + ky = (7x² + 3)/2, what is k in terms x and y ?

Solution

Problem 16 :

If ax + 3a + x + 3 = b, what is x in terms a and b ?

Solution