Algebra - TACHS Math
Card 0 of 5
Solve the following inequality:
Solve the following inequality:
In algebra an inequality is a relationship that holds through different values of a variable. An inequality is considered to be solved when the variable is isolated to one side of the inequality. We will do this by performing the reverse of the operations that were done to the variable. It is important to note that what is done to one side of the inequality needs to be done on the other.
Let's start by writing the inequality.
Subtract 
from both sides of the inequality.
Divide each side of the inequality by 
.
Solve.
The variable is greater than four.
In algebra an inequality is a relationship that holds through different values of a variable. An inequality is considered to be solved when the variable is isolated to one side of the inequality. We will do this by performing the reverse of the operations that were done to the variable. It is important to note that what is done to one side of the inequality needs to be done on the other.
Let's start by writing the inequality.
Subtract
Divide each side of the inequality by
Solve.
The variable is greater than four.
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What value of 
makes this a true statement?
What value of
Isolate the 
on the left side of the equation by performing the same steps on both sides. These steps should be the opposite of the operations performed on 
.
Multiplication precedes addition in the order of operations, so reverse the addition of 16 by subtracting 16 from both sides:
Now reverse multiplication by 2 by dividing by 2:
Isolate the
Multiplication precedes addition in the order of operations, so reverse the addition of 16 by subtracting 16 from both sides:
Now reverse multiplication by 2 by dividing by 2:
Compare your answer with the correct one above
Solve for 
.
Solve for
In order to solve this problem we need isolate the variable on the left side o the equation. We will do this by performing the reverse of the operations that were done to the variable. It is important to note that what is done to one side of the equation needs to be done on the other.
Let's start by writing the equation.
Subtract 
from both sides of the equation.
Multiply both sides of the equation by 
.
Solve.
In order to solve this problem we need isolate the variable on the left side o the equation. We will do this by performing the reverse of the operations that were done to the variable. It is important to note that what is done to one side of the equation needs to be done on the other.
Let's start by writing the equation.
Subtract
Multiply both sides of the equation by
Solve.
Compare your answer with the correct one above
Solve for 
:
Solve for
Start by subtracting 
from both sides.
Next, add 
to both sides of the equation.
Finally, divide both sides by 
.
Start by subtracting
Next, add
Finally, divide both sides by
Compare your answer with the correct one above
Solve for 
:
Solve for
Start by subtracting both sides by 
.
Next, subtract both sides by 
.
Finally, divide both sides by 
.
Start by subtracting both sides by
Next, subtract both sides by
Finally, divide both sides by
Compare your answer with the correct one above