# Algebra II : Solving Expressions

## Example Questions

1 3 Next →

### Example Question #181 : Basic Single Variable Algebra

If  and , what is ?

Explanation:

To begin solving, first we would plug  in to  for every  there is, making it:

Solving, we get:

We would then put that solution into  for every  there is, making it:

Following the order of operations, the first thing we do is square :

We can then solve the rest of the expression:

### Example Question #141 : Expressions

Solve the expression:

Explanation:

Evaluate the binomial squared first by order of operations.

The expression becomes:

Distribute the negative six through each term of the trinomial.

Combine like-terms.

### Example Question #142 : Expressions

Solve the expression if :

Explanation:

Substitute the value of  into the given expression.

Simplify the parentheses by order of operations.

### Example Question #143 : Expressions

If  and , evaluate:

Explanation:

Substitute the assigned values into the expression.

Convert the fractions to a common denominator.

Now that the denominators are common, the numerators can be subtracted.

### Example Question #141 : Expressions

If  and , determine:

Explanation:

Substitute the values into the expression.

Simplify the expression by distribution.

### Example Question #142 : Expressions

If , what is the value of ?

Explanation:

Substitute the values of  and .

Rationalize the denominator by multiplying the top and bottom with the denominator.  This will eliminate the radical in the denominator.

Cancel the integers.

### Example Question #141 : Expressions

Solve the expression:   if  and

Explanation:

In order to solve this expression, we will need to substitute the assigned values into  and .

Simplify the terms by order of operation.

### Example Question #21 : Solving Expressions

If  and , what is ?

Explanation:

Substitute the values into the expression.

Simplify the terms by order of operations.

### Example Question #143 : Expressions

If  and , what is the value of ?

Explanation:

Substitute the values into the expression.

In order to evaluate this expression, we will need to rewrite the negative exponents into fractions.

Simplify the fractions.

Reduce this fraction.

### Example Question #143 : Expressions

If  and , what is the value of ?

Explanation:

Substitute the values in the expression.

Rationalize the denominator by multiplying square root of three on the top and bottom of the fraction.

Simplify the top and bottom.