# Algebra 1 : How to write expressions and equations

## Example Questions

### Example Question #41 : How To Write Expressions And Equations

What is the mathematical representation of the square root of the quantity of two x minus three?

Explanation:

When representing mathematical expressions with numbers and symbols, the phrasing is key.

"the quantity of" means to group the next description.

The quantity of two x minus three :

"Square root of" means to draw the square root symbol around the next description or to give the description the exponent of .

### Example Question #42 : How To Write Expressions And Equations

Simplify the following expression.

Explanation:

To simplify, cancel like terms and apply exponent rules.

Remember when like bases are being multiplied together you add their exponents. Likewise, if you are dividing like bases you subtract the exponent that is in the denominator from the exponent that is in the numerator.

### Example Question #43 : How To Write Expressions And Equations

Express three more than .

Explanation:

Take every word and translate into math.

more than means that you need to add   to something.

That something is  so just combine them to have an expression of

### Example Question #44 : How To Write Expressions And Equations

Express product of five and .

Explanation:

Take every word and translate into math.

Product is multiplication.

So we have  as the answer.

### Example Question #45 : How To Write Expressions And Equations

Express quotient of six and .

Explanation:

Take every word and translate into math.

Quotient is division.

Since it says  and , the numerator is going to be  and denominator is .

### Example Question #46 : How To Write Expressions And Equations

Express four less than .

Explanation:

Take every word and translate into math.

less than means that you need to subtract   from something.

That something is  so just combine them to have an expression of

### Example Question #47 : How To Write Expressions And Equations

Express  less than four.

Explanation:

Take every word and translate into math.

less than means that you need to subtract  from something.

That something is  so just combine them to have an expression of

### Example Question #48 : How To Write Expressions And Equations

Express the quotient of  and six.

Explanation:

Take every word and translate into math.

Quotient is division.

Since it says  and , the numerator is going to be  and denominator is .

### Example Question #49 : How To Write Expressions And Equations

Express. The sum of  and  is

Explanation:

Take every word and translate into math.

Seeing the word is means equal something.

Putting it together, we get .

### Example Question #50 : How To Write Expressions And Equations

Express  raised to the tenth power.