Algebra - SSAT Middle Level Quantitative
Card 0 of 740
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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Fifty-four subtracted from one-sixth of a number is equal to twelve. What is the number?
Fifty-four subtracted from one-sixth of a number is equal to twelve. What is the number?
If we let 
be the unknown number, "one-sixth of a number" can be written as
.
"Fifty-four subtracted from one-sixth of a number" can be written as
.
Set this equal to twelve, and solve for 
:
If we let
"Fifty-four subtracted from one-sixth of a number" can be written as
Set this equal to twelve, and solve for
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Solve for 
:
Solve for
Add 45 to both sides:
Add 45 to both sides:
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Solve for 
:
Solve for
Subtract 45 from both sides:
Subtract 45 from both sides:
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Solve for 
:
Solve for
Add 28 to both sides:
Add 28 to both sides:
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Solve for 
:
Solve for
Subtract 28 from both sides:
Subtract 28 from both sides:
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Solve for 
:
Solve for
Divide both sides by 
:
Divide both sides by
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Solve for 
:
Solve for
Divide both sides by 
:
Divide both sides by
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Solve for 
:
Solve for
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Solve for 
:
Solve for
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Call the three angles of a triangle 
.
The measure of 
is twenty degrees greater than that of 
; the measure of 
is thirty degrees less than twice that of 
. If 
is the measure of 
, then which of the following equations would we need to solve in order to calculate the measures of the angles?
Call the three angles of a triangle
The measure of
The measure of 
is twenty degrees greater than the measure 
of 
, so its measure is 20 added to that of 
- that is, 
.
The measure of 
is thirty degrees less than twice that of 
. Twice the measure of 
is 
, and thirty degrees less than this is 30 subtracted from 
- that is, 
.
The sum of the measures of the three angles of a triangle is 180, so, to solve for 
- thereby allowing us to calulate all three angle measures - we add these three expressions and set the sum equal to 180. This yields the equation:
The measure of
The measure of
The sum of the measures of the three angles of a triangle is 180, so, to solve for
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Twenty added to one-fourth of a number is equal to fifty-six. What is the number?
Twenty added to one-fourth of a number is equal to fifty-six. What is the number?
If we let 
be the number, "one-fourth of a number" can be written as
.
"Twenty added to one-fourth of a number" can be written as
.
Set this equal to fifty-six and solve for 
:
If we let
"Twenty added to one-fourth of a number" can be written as
Set this equal to fifty-six and solve for
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Call the three angles of a triangle 
.
The measure of 
is forty degrees less than that of 
; the measure of 
is ten degrees less than twice that of 
. If 
is the measure of 
, then which of the following equations would we need to solve in order to calculate the measures of the angles?
Call the three angles of a triangle
The measure of
The measure of 
is forty degrees less than the measure 
of 
, so its measure is 40 subtracted from that of 
- that is, 
.
The measure of 
is ten degrees less than twice that of 
. Twice the measure of 
is 
, and ten degrees less than this is 10 subtracted from 
- that is, 
.
The sum of the measures of the three angles of a triangle is 180, so, to solve for 
- thereby allowing us to calulate all three angle measures - we add these three expressions and set the sum equal to 180. This yields the equation:
The measure of
The measure of
The sum of the measures of the three angles of a triangle is 180, so, to solve for
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What is 
?
What is
First add 2 to both sides. Then subtract 4 from both sides. This gives an answer of 9.
First add 2 to both sides. Then subtract 4 from both sides. This gives an answer of 9.
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Solve for 
:
Solve for
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Solve for 
:
Solve for
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Solve for 
:
Solve for
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