Write the following as a mathematical inequality:

A number is less than or equal to three times the sum of another number and five.

Let's begin with

"A number" let's call it x

"...is less than or equal to..."

So far we have:

Now,

"...three times..."

"...the sum of another number and five."

So, all together:

We know that Billy needs to make more than between his allowance and the lawns that he mows. This means our inequality should include

Also, since Billy will make per lawn, that means we need to multiply by the number of lawns he needs to mow, :

So far we have the following:

Next, we know that he makes each week, on top of what he makes mowing each law.

This means we need to add the to the

When we put all of these pieces together, we will get the following inequality:

We know that Billy needs to make more than between his allowance and the lawns that he mows. This means our inequality should include

Also, since Billy will make per lawn, that means we need to multiply by the number of lawns he needs to mow, :

So far we have the following:

Next, we know that he makes each week, on top of what he makes mowing each law.

This means we need to add the to the

When we put all of these pieces together, we will get the following inequality:

We know that Billy needs to make more than between his allowance and the lawns that he mows. This means our inequality should include

Also, since Billy will make per lawn, that means we need to multiply by the number of lawns he needs to mow, :

So far we have the following:

Next, we know that he makes each week, on top of what he makes mowing each law.

This means we need to add the to the

When we put all of these pieces together, we will get the following inequality:

Seven less than two times a number is greater than fourteen.

Let's look at the problem step by step.

If we do not know the value of a number, we give it a variable name. Let's say x. So, we see in the problem

Seven less than two times a number is greater than fourteen.

So, we will replace a number with x.

Seven less than two times x is greater than fourteen.

Now, we see that is says "two times" x, so we will write it like

Seven less than 2 x is greater than fourteen.

The problem says "seven less" than 2x. This simply means we are taking 2x and subtracting seven. So we get

2x - 7 is greater than fourteen

We know the symbol for "is greater than". We can write

2x - 7 > fourteen

Finally, we write out the number fourteen.

2x - 7 > 14

Split the problem statement into parts.

Two times a number:

Eight more than two times a number:

Is more than two:

Combine the terms to make an equation.

The answer is:

To solve, you must convert the statement into an expression. The key work is "is". Whatever is on the left of that in the sentence will be on the left side of the expression. The same goes for the right. Thus, is on the left and is on the right.

Break up the terms and rewrite by parts.

A number less than three:

Greater than five:

Combine the terms.

The answer is:

"The sum of a number and sixteen" translates to ; twice that sum is . "Does not exceed eighty" means that it is less than or equal to eighty, so the desired inequality is

Break up the statement by parts. Let that number be .

Twice a number:

Two less than twice a number:

Less than two:

Combine the parts.

The answer is: