IXL - Solve rational equations (Algebra 2 practice)

Solve for m.

m − 2

m + 2

There may be 1 or 2 solutions.

m = or m =

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question

Solve for d.

d + 4

d + 1

There may be 1 or 2 solutions.

d = or d =

key idea

To solve a rational equation, first clear the fractions, by multiplying both sides by the denominators or by the lowest common denominator (LCD). Then solve for the variable.

solution

Solve for d.

d + 4

d + 1

Multiply both sides by 8 · 2

(d + 4)(8 · 2)

(d + 1)(8 · 2)

Multiply both sides by 8 · 2

Simplify

2(d + 4)

8(d + 1)

Simplify

Apply the distributive property

2d + 8

8d + 8

Apply the distributive property

Subtract 2d from both sides

6d + 8

Subtract 2d from both sides

Subtract 8 from both sides

Divide both sides by 6

Now check whether this is an extraneous solution. Since neither denominator is 0, which would be undefined, this is a valid solution.

The
solution
is
d
= 0
.

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Work it out

Not feeling ready yet? These can help:

B.1Solve linear equations

L.3Multiply polynomials

O.3Solve a quadratic equation by factoring

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