# SSAT Middle Level Math : How to find the solution to an equation

## Example Questions

### Example Question #11 : Algebra

The difference between 30 and the product of 5 and 3 is

Explanation:

Order of operations says to multiply 5 and 3 first.  Thus we are looking for the difference between  and  or  and .

### Example Question #11 : How To Find The Solution To An Equation

Sarah borrowed 48 books in the last six months. She returned half of them and then borrowed 9 more.  How many books does she have now?

Explanation:

If Sarah borrowed 48 books and returned half of them, she now has

If she then borrowed 9 more, she added 9 to the 24 she had so now she has 33.

### Example Question #11 : Ssat Middle Level Quantitative (Math)

If eight times a whole number is greater than 250 but less than 300, then the number could be

Explanation:

One strategy for this problem is to multiply each of the answer choices by 8 and see which product falls between 250 and 300.  so 31 is too low.

Thus 30 and 28 are too low as well (240 and 224, respectively).

which is too high.

Thus 35 is the answer (280).

### Example Question #11 : How To Find The Solution To An Equation

Elaine wants to give 2 slices of pizza to each of the 14 children invited to a birthday party.  How many pizzas should she buy if each pizza has 8 slices?

Explanation:

If Elaine wants to give 2 slices of pizza to 14 children, then she needs  slices of pizza or 28 slices. 28 slices divided by the number of slice per pizza (8) will give you how many pizzas she needs.

.

In order to ensure she has enough pizza, she needs to round up so she needs to order 4 pizzas.

### Example Question #11 : How To Find The Solution To An Equation

When a number is doubled and the result decreased by 7, the number obtained is 11. What is the original number?

Explanation:

Let's call the number .  So the number that is doubled is  which then becomes .

That result , is decreased by  so .

That result is .

Putting it all together:

Add 7 to both sides to get .

Then divide both sides by 2 and you get .

### Example Question #11 : How To Find The Solution To An Equation

Explanation:

First, turn each fraction into an improper fraction. Then multiply.

Solve for :

Explanation:

### Example Question #12 : How To Find The Solution To An Equation

Solve for :

Explanation:

Subtract 45 from both sides:

### Example Question #1 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Solve for :

Explanation:

Subtract 28 from both sides:

Solve for :