How to find the solution to an equation - SSAT Middle Level Quantitative

So order of operations says to do what's in the parentheses first. Thus

Thus the left side of the equation is 15. Subtract 5 from both sides to determine what the is.

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

The greater than and less than symbols describe a number that is greater than but not equal to 13 and less than but not equal to 17. The whole numbers between 13 and 17 are 14, 15, and 16. The question also qualifies that the number needs to be even so we are looking for 14 or 16. Only 16 is an answer choice available.

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.

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).

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.

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

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 .

The amount of change given after a purchase is the amount the customer pays minus the cost of the item. So the cost of the item is the amount the customer pays minus the amount of change received.

He begins with 40 and ends with 4, so 36 cookies total were eaten. Since he ate 6 himself, that means that his guests ate 30. Since each guest ate 3 cookies, guests.

In two years, each person will be 2 years older. Since there are 3 of them, their ages will be years more, so we add 6 to the original total of 29

Plug in 3 where you see and 2 where you see to get . This equals 7.

First, subract 7 from both sides:

Then, divide each side by 3:

Add 35, then divide by 11:

Add 13, then divide by 9:

Add 25, then divide by 7:

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

The answer is .

Since there are fourteen fewer pounds of Hazelnut Happiness beans in the mixture than Pecan Delight beans , then the number of pounds of Hazelnut Happiness beans is fourteen subtracted from:

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Add the number of pounds of Pecan Delight beans, , to the number of pounds of Hazelnut Happiness beans, , to get the number of pounds of the mixture, which is .

This translates to the following equation:

Since there are twelve more pounds of Vanilla Dream beans in the mixture than Strawberry Heaven beans, then the number of pounds of Vanilla Dream beans is twelve added to :

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Add the number of pounds of Strawberry Heaven beans, , to the number of pounds of Vanilla Dream beans, , to get the number of pounds of the mixture, which is .

This translates to the following equation: