How to multiply variables - SSAT Middle Level Quantitative
Card 0 of 64
Which of the following is NOT the same as
Which of the following is NOT the same as
The answer shows that the 3 in front of the 
has been cancelled, but not removed from the denomitator for the 
.
The answer shows that the 3 in front of the
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Simplify: 
Simplify:
Apply the distributive property:
Apply the distributive property:
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Simplify: 
Simplify:
Apply the distributive property:
Apply the distributive property:
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Simplify: 
Simplify:
Apply the distributive property:
Apply the distributive property:
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Simplify: 
Simplify:
Apply the distributive property:
Apply the distributive property:
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Shaun has twice as much money as Jessica. Jessica has one third as much money as Chris. Shaun has half as much money as Carmen. Who has the most money?
Shaun has twice as much money as Jessica. Jessica has one third as much money as Chris. Shaun has half as much money as Carmen. Who has the most money?
In order to figure out who has the most money, we must organize the data we have. Since Shaun has more money than Jessica, let us use Jessica as our baseline. So, if the money that Jessica has is represented by 
, the money Shaun has will be 
because he has twice as much money as Jessica.
Jessica = 
Shaun = 
Next, we know that Jessica has one third as much money as Chris. In other words, Chris has three times as much money as Jessica. This can be represented by 
. We then learn that Shaun has half as much money as Carmen or, in other words, Carmen has two times the amount of money Shaun has. Since Shaun has 
dollars, that must mean Carmen has 
dollars because 
. So, by comparing everyone side-by-side, we can see that Carmen has the most money as she has four times the amount of money that Jessica has.
Jessica = 
Shaun = 
Chris = 
Carmen = 
Carmen is the answer.
In order to figure out who has the most money, we must organize the data we have. Since Shaun has more money than Jessica, let us use Jessica as our baseline. So, if the money that Jessica has is represented by
Jessica =
Shaun =
Next, we know that Jessica has one third as much money as Chris. In other words, Chris has three times as much money as Jessica. This can be represented by
Jessica =
Shaun =
Chris =
Carmen =
Carmen is the answer.
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Given 
, 
, and 
, compute 
.
Given
refers to the product of the three variables: 
.
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Simplify:
Simplify:
To solve, you can use the commutative and associative properties of multiplication to group like-terms together.
The 4 and 3 should be first multiplied, resulting in 12.
Next 
should be multiplied by 
, giving us 
.
12 times 
is equal to 
.
Therefore, the correct answer is 
.
To solve, you can use the commutative and associative properties of multiplication to group like-terms together.
The 4 and 3 should be first multiplied, resulting in 12.
Next
12 times
Therefore, the correct answer is
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Simplify:
Simplify:
When simplifying this expression, the first step is to apply the distributive property.
Next, we assert whether the expression can be reduced further. It cannot, as there are no like-terms to combine.
Therefore, the correct answer is 
.
When simplifying this expression, the first step is to apply the distributive property.
Next, we assert whether the expression can be reduced further. It cannot, as there are no like-terms to combine.
Therefore, the correct answer is
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Which of the following phrases can be written as the algebraic expression 
?
Which of the following phrases can be written as the algebraic expression
is fifty-five subtracted from 
.
is the product of nine and a number.
Subsequently, 
is "fifty-five subtracted from the product of nine and a number".
Subsequently,
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Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
By the order of operations, the operation inside grouping symbols, which here is addition, takes precendence, followed by, in order, squaring and multiplication.
By the order of operations, the operation inside grouping symbols, which here is addition, takes precendence, followed by, in order, squaring and multiplication.
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Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
By the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Addition and subtraction are then carried out with equal priority, but from left to right, so the addition is performed second and the subtraction last.
By the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Addition and subtraction are then carried out with equal priority, but from left to right, so the addition is performed second and the subtraction last.
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Multiply in modulo 8:
Multiply in modulo 8:
In modulo 8 arithmetic, a number is congruent to the remainder of the divison of that number by 8. Since
and
then
.
The correct response is 4.
In modulo 8 arithmetic, a number is congruent to the remainder of the divison of that number by 8. Since
and
then
The correct response is 4.
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Solve the following expression,
.
Solve the following expression,
When multiplying like variables, the constants are multiplied together.
For the exponents, when you multply variable exponents you have to add the exponents together.
and 
so that gives you an answer of 
.
When multiplying like variables, the constants are multiplied together.
For the exponents, when you multply variable exponents you have to add the exponents together.
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Solve:
Solve:
When multiplying variables with exponents, add the exponents.
The correct answer is 
When multiplying variables with exponents, add the exponents.
The correct answer is
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Solve:
Solve:
When multiplying variables with exponents the exponents are added.
The correct answer is 
When multiplying variables with exponents the exponents are added.
The correct answer is
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Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
By the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Addition and subtraction are then carried out with equal priority, but from left to right, so the addition is performed second and the subtraction last.
By the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Addition and subtraction are then carried out with equal priority, but from left to right, so the addition is performed second and the subtraction last.
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Shaun has twice as much money as Jessica. Jessica has one third as much money as Chris. Shaun has half as much money as Carmen. Who has the most money?
Shaun has twice as much money as Jessica. Jessica has one third as much money as Chris. Shaun has half as much money as Carmen. Who has the most money?
In order to figure out who has the most money, we must organize the data we have. Since Shaun has more money than Jessica, let us use Jessica as our baseline. So, if the money that Jessica has is represented by , the money Shaun has will be because he has twice as much money as Jessica.
Jessica =
Shaun =
Next, we know that Jessica has one third as much money as Chris. In other words, Chris has three times as much money as Jessica. This can be represented by . We then learn that Shaun has half as much money as Carmen or, in other words, Carmen has two times the amount of money Shaun has. Since Shaun has dollars, that must mean Carmen has dollars because . So, by comparing everyone side-by-side, we can see that Carmen has the most money as she has four times the amount of money that Jessica has.
Jessica =
Shaun =
Chris =
Carmen =
Carmen is the answer.
In order to figure out who has the most money, we must organize the data we have. Since Shaun has more money than Jessica, let us use Jessica as our baseline. So, if the money that Jessica has is represented by
Jessica =
Shaun =
Next, we know that Jessica has one third as much money as Chris. In other words, Chris has three times as much money as Jessica. This can be represented by
Jessica =
Shaun =
Chris =
Carmen =
Carmen is the answer.
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Simplify:
Simplify:
Apply the distributive property:
Apply the distributive property:
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Which of the following is NOT the same as
Which of the following is NOT the same as
The answer shows that the 3 in front of the has been cancelled, but not removed from the denomitator for the .
The answer shows that the 3 in front of the
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