Solving for the Variable - GED Math
Card 1 of 410
Give the solution set:

Give the solution set:
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Collect the like terms by subtracting
from both sides:


Isolate
on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:


The solution set is
.
Collect the like terms by subtracting from both sides:
Isolate on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:
The solution set is .
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Give the solution set:

Give the solution set:
Tap to reveal answer
Collect the like terms by subtracting
from both sides:


Isolate
on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:


The solution set is
.
Collect the like terms by subtracting from both sides:
Isolate on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:
The solution set is .
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Give the solution set:

Give the solution set:
Tap to reveal answer
First, distribute the 9 on the left by multiplying it by each expression in the parentheses:



Isolate
on the right by first, subtracting 162 from both sides:


Divide both sides by 9:


The correct solution set is
.
First, distribute the 9 on the left by multiplying it by each expression in the parentheses:
Isolate on the right by first, subtracting 162 from both sides:
Divide both sides by 9:
The correct solution set is .
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Give the solution set:

Give the solution set:
Tap to reveal answer
First, distribute the 9 on the left by multiplying it by each expression in the parentheses:



Isolate
on the right by first, subtracting 162 from both sides:


Divide both sides by 9:


The correct solution set is
.
First, distribute the 9 on the left by multiplying it by each expression in the parentheses:
Isolate on the right by first, subtracting 162 from both sides:
Divide both sides by 9:
The correct solution set is .
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Give the solution set:

Give the solution set:
Tap to reveal answer
First, distribute the 9 on the left by multiplying it by each expression in the parentheses:



Isolate
on the right by first, subtracting 162 from both sides:


Divide both sides by 9:


The correct solution set is
.
First, distribute the 9 on the left by multiplying it by each expression in the parentheses:
Isolate on the right by first, subtracting 162 from both sides:
Divide both sides by 9:
The correct solution set is .
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Give the solution set:

Give the solution set:
Tap to reveal answer
Collect the like terms by subtracting
from both sides:


Isolate
on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:


The solution set is
.
Collect the like terms by subtracting from both sides:
Isolate on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:
The solution set is .
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Give the solution set:

Give the solution set:
Tap to reveal answer
First, distribute the 9 on the left by multiplying it by each expression in the parentheses:



Isolate
on the right by first, subtracting 162 from both sides:


Divide both sides by 9:


The correct solution set is
.
First, distribute the 9 on the left by multiplying it by each expression in the parentheses:
Isolate on the right by first, subtracting 162 from both sides:
Divide both sides by 9:
The correct solution set is .
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Give the solution set:

Give the solution set:
Tap to reveal answer
Collect the like terms by subtracting
from both sides:


Isolate
on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:


The solution set is
.
Collect the like terms by subtracting from both sides:
Isolate on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:
The solution set is .
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Give the solution set:

Give the solution set:
Tap to reveal answer
Collect the like terms by subtracting
from both sides:


Isolate
on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:


The solution set is
.
Collect the like terms by subtracting from both sides:
Isolate on the right by dividing both sides by
. Reverse the direction of the inequality symbol, since you are dividing by a negative number:
The solution set is .
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Give the solution set:

Give the solution set:
Tap to reveal answer
First, distribute the 9 on the left by multiplying it by each expression in the parentheses:



Isolate
on the right by first, subtracting 162 from both sides:


Divide both sides by 9:


The correct solution set is
.
First, distribute the 9 on the left by multiplying it by each expression in the parentheses:
Isolate on the right by first, subtracting 162 from both sides:
Divide both sides by 9:
The correct solution set is .
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Give the solution set of the inequality:

Give the solution set of the inequality:
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or, in interval form, ![\left ( -\infty, 1.4 \right ]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/221063/gif.latex)
or, in interval form,
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Give the solution set of the inequality:

Give the solution set of the inequality:
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In interval form, this is
.
In interval form, this is .
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Solve for
:

Solve for :
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Solve for
:

Solve for :
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Which of the following is the solution set of the inequality
?
Which of the following is the solution set of the inequality ?
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Solve using the properties of inequality, as follows:




Note that division by a negative number reverses the symbols.

In interval form, this is
.
Solve using the properties of inequality, as follows:
Note that division by a negative number reverses the symbols.
In interval form, this is .
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Two more than twice a number equals 9. What's the square of that number?
Two more than twice a number equals 9. What's the square of that number?
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Rewrite the algebraic expression in a mathematical formula.

Solve for x.


The square of this number is:

Rewrite the algebraic expression in a mathematical formula.
Solve for x.
The square of this number is:
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If
, then what is the value of
?
If , then what is the value of
?
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In order to solve for the value of
you must isolate the variable. This is done by subtracting the constant in this equation, which is 12, from both sides of the equation.


In order to solve for the value of you must isolate the variable. This is done by subtracting the constant in this equation, which is 12, from both sides of the equation.
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If
, what is the value of
?
If , what is the value of
?
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The first step in the process of solving for
in this problem is to use the distributive property to distribute the
to what is inside the parentheses.

The next step is to isolate the variable by using inverse operations. In this example, in order to get rid of the
, you would add
to both sides of the equation.


The next step is to divide both sides by the coefficient, (the number next to the variable), which in this case is
.



The first step in the process of solving for in this problem is to use the distributive property to distribute the
to what is inside the parentheses.
The next step is to isolate the variable by using inverse operations. In this example, in order to get rid of the , you would add
to both sides of the equation.
The next step is to divide both sides by the coefficient, (the number next to the variable), which in this case is .
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If
, then 
If , then
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To solve this you must find the value of
.
The first equation states that
. This is a mult-step equation. The first step is to remove the constant, 6, from the equation; this is done by using the inverse operation, which means you would subtract the 6 from both sides of the equation.


Then divide both sides by the 7 in order to isolate the variable.


Then plug the 3 into the second equation for the value of x.

To solve this you must find the value of .
The first equation states that . This is a mult-step equation. The first step is to remove the constant, 6, from the equation; this is done by using the inverse operation, which means you would subtract the 6 from both sides of the equation.
Then divide both sides by the 7 in order to isolate the variable.
Then plug the 3 into the second equation for the value of x.
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Solve for
.
Solve for .
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Since the original statement forces this false statement to be true, the original statement is false regardless of the value of
. There is no solution.
Since the original statement forces this false statement to be true, the original statement is false regardless of the value of . There is no solution.
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