Rational Equations and LCD

Solve the rational equation: (3/x) + (2/x) = 5. What is the value of x?

• x = 4

• x = 3

• x = 2

• x = 1

Tags

CCSS.HSA.REI.A.2

Find the LCD of the rational expressions: 1/(x+2) and 1/(x-3).

• (x+2)(x+3)

• (x+2)(x-3)

• (x-2)(x-3)

• (x+2)(x-2)

Tags

CCSS.HSA.APR.D.7

Solve the rational equation: (1/x) - (1/(x+1)) = 1/(x^2 + x). What are the possible values of x?

• x = -1, x = 0

• x = 1, x = 2

• x = 0, x = 1

• x = -2, x = -3

Tags

CCSS.HSA.REI.A.2

Find the LCD of the rational expressions: 1/(x^2 - 4) and 1/(x^2 - x - 6).

• (x + 2)(x - 2)(x + 3)

• (x + 2)(x - 2)(x - 2)

• (x + 2)(x - 2)(x - 3)

• (x - 2)(x - 3)

Tags

CCSS.HSA.APR.D.7

Solve the rational equation: (2/x) + (3/(x+1)) = 1. What is the value of x?

• x = 3

• x = 2 + sqrt(6) or x = 2 - sqrt(6)

• x = 1 - sqrt(2)

• x = 2 + sqrt(3)

Tags

CCSS.HSA.REI.A.2

Find the LCD of the rational expressions: 1/(x^2 - 9) and 1/(x^2 - 5x + 6).

• (x + 2)(x - 2)(x - 3)

• (x + 3)(x - 3)(x - 4)

• (x + 3)(x - 3)(x - 2)

• (x - 1)(x - 3)(x - 2)

Tags

CCSS.HSA.APR.D.7

Solve the rational equation: (1/x) + (1/(x-1)) = 2/(x^2 - x). What are the possible values of x?

• x = 3

• x = 2

• x = 0, x = 1

• x = -1

Tags

CCSS.HSA.REI.A.2

Find the LCD of the rational expressions: 1/(x^2 - 1) and 1/(x^2 - 3x + 2).

• (x - 2)(x + 2)(x - 3)

• (x - 1)(x + 1)(x - 2)

• (x - 1)(x + 1)(x - 3)

• (x - 1)(x + 1)(x - 4)

Tags

CCSS.HSA.APR.D.7

Solve the rational equation: (4/x) - (1/(x-2)) = 3/(x^2 - 2x). What is the value of x?

• x = 4

• x = 6

• x = 8

• x = 2

Tags

CCSS.HSA.REI.A.2

Find the LCD of the rational expressions: 1/(x^2 - 16) and 1/(x^2 - 4x + 3).

• (x - 4)(x + 4)(x - 2)(x + 3)

• (x - 4)(x + 4)(x - 1)(x - 3)

• (x - 4)(x + 4)(x - 2)(x - 3)

• (x - 4)(x + 4)(x - 1)(x - 2)

Tags

CCSS.HSA.APR.D.7