How to find the solution to an equation - SSAT Middle Level Math
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If
,
then 
=
If
then
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.
.
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
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The difference between 30 and the product of 5 and 3 is
The difference between 30 and the product of 5 and 3 is
Order of operations says to multiply 5 and 3 first. Thus we are looking for the difference between 
and 
or 
and 
.
Order of operations says to multiply 5 and 3 first. Thus we are looking for the difference between
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If 
and 
is an even whole number, then 
could be
If
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.
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.
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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?
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?
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.
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.
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If eight times a whole number is greater than 250 but less than 300, then the number could be
If eight times a whole number is greater than 250 but less than 300, then the number could be
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).
One strategy for this problem is to multiply each of the answer choices by 8 and see which product falls between 250 and 300.
Thus 30 and 28 are too low as well (240 and 224, respectively).
Thus 35 is the answer (280).
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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?
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?
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.
If Elaine wants to give 2 slices of pizza to 14 children, then she needs
In order to ensure she has enough pizza, she needs to round up so she needs to order 4 pizzas.
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When a number is doubled and the result decreased by 7, the number obtained is 11. What is the original number?
When a number is doubled and the result decreased by 7, the number obtained is 11. What is the original number?
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 
.
Let's call the number
That result
That result is
Putting it all together:
Add 7 to both sides to get
Then divide both sides by 2 and you get
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James bought candy using a 10 dollar bill and received 
dollars in change. Which of the following describes how much James paid for the candy?
James bought candy using a 10 dollar bill and received
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.
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.
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For a party, Marco buys 4 boxes of cookies, each containing 10 cookies. Marco gives each of his guests 3 cookies, and then he eats 6 cookies himself. He now has 4 cookies left. How many guests did Marco give cookies to?
For a party, Marco buys 4 boxes of cookies, each containing 10 cookies. Marco gives each of his guests 3 cookies, and then he eats 6 cookies himself. He now has 4 cookies left. How many guests did Marco give cookies to?
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.
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,
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Jacob, Judy and John add up all of their ages and get a total of 29. If they do the same thing 2 years from now, what will be their total?
Jacob, Judy and John add up all of their ages and get a total of 29. If they do the same thing 2 years from now, what will be their total?
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
In two years, each person will be 2 years older. Since there are 3 of them, their ages will be
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If 
, then 
If
Plug in 3 where you see 
and 2 where you see 
to get 
. This equals 7.
Plug in 3 where you see
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Solve for 
:
Solve for
First, subract 7 from both sides:
Then, divide each side by 3:
First, subract 7 from both sides:
Then, divide each side by 3:
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Solve for 
:
Solve for
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Solve for 
:
Solve for
Add 35, then divide by 11:
Add 35, then divide by 11:
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Solve for 
:
Solve for
Add 13, then divide by 9:
Add 13, then divide by 9:
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Solve for 
:
Solve for
Add 25, then divide by 7:
Add 25, then divide by 7:
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First, turn each fraction into an improper fraction. Then multiply.
The answer is 
.
First, turn each fraction into an improper fraction. Then multiply.
The answer is
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Read the following scenario:
A barista has to make sixty pounds of a special blend of coffee at Moonbucks, using Hazelnut Happiness beans and Pecan Delight beans. If there are fourteen fewer pounds of Hazelnut Happiness beans in the mixture than Pecan Delight beans, then how many pounds of each will she use?
If 
represents the number of pounds of Pecan Delight coffee beans in the mixture, then which of the following equations could be set up in order to find the number of pounds of each variety of bean?
Read the following scenario:
A barista has to make sixty pounds of a special blend of coffee at Moonbucks, using Hazelnut Happiness beans and Pecan Delight beans. If there are fourteen fewer pounds of Hazelnut Happiness beans in the mixture than Pecan Delight beans, then how many pounds of each will she use?
If
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
:
.
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 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
Add the number of pounds of Pecan Delight beans,
This translates to the following equation:
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Read the following scenario:
A barista has to make forty pounds of a special blend of coffee at Moonbucks, using Vanilla Dream beans and Strawberry Heaven beans. If there are twelve more pounds of Vanilla Dream beans in the mixture than Strawberry Heaven beans, then how many pounds of each will she use?
If 
represents the number of pounds of Strawberry Heaven coffee beans in the mixture, then which of the following equations could be set up in order to find the number of pounds of each variety of bean?
Read the following scenario:
A barista has to make forty pounds of a special blend of coffee at Moonbucks, using Vanilla Dream beans and Strawberry Heaven beans. If there are twelve more pounds of Vanilla Dream beans in the mixture than Strawberry Heaven beans, then how many pounds of each will she use?
If
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 
:
.
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:
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
Add the number of pounds of Strawberry Heaven beans,
This translates to the following equation:
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Solve for 
:
Solve for
Add 45 to both sides:
Add 45 to both sides:
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