### All SAT Math Resources

## Example Questions

### Example Question #1 : How To Find The Solution To A Rational Equation With Lcd

**Possible Answers:**

1

–1

0

–2

2

**Correct answer:**

2

### Example Question #1883 : Sat Mathematics

**Possible Answers:**

*–b*/(*m *+ 1)

*b*/(*m*^{2 }+ 1)

*–bm*/(*m*^{2 }+ 1)

*bm*/(*m*^{2 }+ 1)

–*b*/(*m*^{2 }– 1)

**Correct answer:**

*b*/(*m*^{2 }+ 1)

### Example Question #12 : Equations / Inequalities

In the equation below, , , and are non-zero numbers. What is the value of in terms of and ?

**Possible Answers:**

**Correct answer:**

### Example Question #105 : Linear / Rational / Variable Equations

Solve for x:

**Possible Answers:**

**Correct answer:**

The first step is to cancel out the denominator by multiplying both sides by 7:

Subtract 3 from both sides to get by itself:

### Example Question #2 : How To Find The Solution To A Rational Equation With Lcd

Solve for and using elimination:

**Possible Answers:**

and

and

and

and

and

**Correct answer:**

and

When using elimination, you need two factors to cancel out when the two equations are added together. We can get the in the first equation to cancel out with the in the second equation by multiplying everything in the second equation by :

Now our two equations look like this:

The can cancel with the , giving us:

These equations, when summed, give us:

Once we know the value for , we can just plug it into one of our original equations to solve for the value of :

### Example Question #1 : How To Find The Solution To A Rational Equation With Lcd

Give the solution set of the rational equation

**Possible Answers:**

**Correct answer:**

Multiply both sides of the equation by the denominator :

Rewrite both expression using the binomial square pattern:

This can be rewritten as a linear equation by subtracting from both sides:

Solve as a linear equation:

### Example Question #1 : How To Find The Solution To A Rational Equation With Lcd

Solve:

**Possible Answers:**

**Correct answer:**

Multiply by on each side

Subtract on each side

Multiply by on each side

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