How to solve two-step equations with integers in pre-algebra - Math
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Solve for 
:
Solve for
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We have two steps to this problem. Remember our end result is to get 
isolated on one side of the equation.
First we add 
to each side, cancelling out the 
on the left side. This brings the equation to 
.
Remember to get rid of a number we perform the opposite operation. The 
is multiplied with the 
, therefore to cancel it out we will divide by 
.
divided by 
equals 
. What we do to one side we must do to the other, therefore we divide 
by 
also. This becomes 
.
We have two steps to this problem. Remember our end result is to get
First we add
Remember to get rid of a number we perform the opposite operation. The
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Simplify:
Simplify:
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The requires the FOIL method (first, outside, inside, last).
Multiplying the first two monomials 
equals 
.
The outside two are 
which equals 
.
The two inside monomials are 
which equals 
.
The last two are 
which is 
.
All together this becomes 
.
The requires the FOIL method (first, outside, inside, last).
Multiplying the first two monomials
The outside two are
The two inside monomials are
The last two are
All together this becomes
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What is 
if 
?
What is
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Plugging in 
for 
gives 
.
= 
= 
.
Plugging in
=
=
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Simplify:
Simplify:
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According to the laws of exponents, if you add you do not add the exponents. Therefore 
, and the variable term remains 
. The answer is 
.
According to the laws of exponents, if you add you do not add the exponents. Therefore
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This is a two-step equation. First simplify the whole numbers by adding 6 to both sides:
Then divide both sides by 2
This is a two-step equation. First simplify the whole numbers by adding 6 to both sides:
Then divide both sides by 2
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Solve the following equation for 
.
Solve the following equation for
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To solve a two step equation, we want to isolate the variable. This means first "getting rid of" the number which is being added to the variable, in this case 
. To get rid of the 
, we first recognize that it is being added, then we do the inverse and subtract 
from both sides.
Now, we want to do the inverse of multiplying by 
, which is dividing by 
on both sides.
To solve a two step equation, we want to isolate the variable. This means first "getting rid of" the number which is being added to the variable, in this case
Now, we want to do the inverse of multiplying by
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Solve the following equation for 
.
Solve the following equation for
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We want to first isolate the variable, thus we first try to get rid of the constants being added to the variable, in this case the 
. To eliminate 
, we do the inverse of addition, and subtract 
from both sides.
Then, we want to do the inverse of dividing by 
, which is multiplying by 
. Remember that multiplying two negative terms results in a positive term.
We want to first isolate the variable, thus we first try to get rid of the constants being added to the variable, in this case the
Then, we want to do the inverse of dividing by
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Solve for 
.
Solve for
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Perform the same operation on both sides of the equation.
Add 3 to both sides.
Divide both sides by 4 and simplify the fraction.
Perform the same operation on both sides of the equation.
Add 3 to both sides.
Divide both sides by 4 and simplify the fraction.
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Solve the equation for 
.
Solve the equation for
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Subtract 
from both sides to get the variables on the same side, and simplify.
Divide both sides by 
.
Subtract
Divide both sides by
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Solve for 
.
Solve for
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Add 
to both sides.
Subtract 13 from both sides.
Add
Subtract 13 from both sides.
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Solve for 
.
Solve for
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Subtract 14 from each side.
Divide both sides by 6.
Subtract 14 from each side.
Divide both sides by 6.
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Solve for 
if, 
.
Solve for
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To solve for 
we must get all of the numbers on the other side of the equation of .
When solving a simple two-step equation we must remove the numbers that are interacting with in this order: Addition/Subtraction, Multiplication/Division, Exponents.
To do this in a problem where is being multiplied by a number, we must divide both sides of the equation by the number.
In this case the number is 
so we divide each side of the equation by 
to make it look like this 
Our new problem will look like this 
.
We then must solve the exponential equation.
To solve an equation with 
we must take the square root of each side of the equation to get 
by itself.
Doing this makes our problem look like 
Then we perform the square root to get the answer 
Remember that 
can also equal 
so our answer will be both positive and negative.
The final answer looks like 
.
To solve for
When solving a simple two-step equation we must remove the numbers that are interacting with
To do this in a problem where
In this case the number is
Our new problem will look like this
We then must solve the exponential equation.
To solve an equation with
Doing this makes our problem look like
Then we perform the square root to get the answer
Remember that
The final answer looks like
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Solve for 
if, 
Solve for
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To perform a two step algebra problem with addition and multiplication we must remove the numbers from 
so it is by itself on one side of the equation.
To do this we first look to see if a number is being added or subtracted from .
In this case a number is being added so we must subtract the number, 
, from each side of the equation
Perform the math so our equation looks becomes
Then we divide each side of the equation by the number that is in front of , 
, to get by itself
Perform the math to find the answer 
To perform a two step algebra problem with addition and multiplication we must remove the numbers from
To do this we first look to see if a number is being added or subtracted from
In this case a number is being added so we must subtract the number,
Perform the math so our equation looks becomes
Then we divide each side of the equation by the number that is in front of
Perform the math to find the answer
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Solve for 
if, 
Solve for
Tap to reveal answer
To perform a two-step algebra problem with addition and multiplication we must remove the numbers from so it is by itself on one side of the equation.
To do this we first look to see if a number is being added or subtracted from .
In this case a number is being added so we must subtract the number, 
, from each side of the equation 
Perform the math so our equation becomes 
Then we divide each side of the equation by the number that is in front of , 
, to get by itself 
Perform the math to find the answer 
To perform a two-step algebra problem with addition and multiplication we must remove the numbers from
To do this we first look to see if a number is being added or subtracted from
In this case a number is being added so we must subtract the number,
Perform the math so our equation becomes
Then we divide each side of the equation by the number that is in front of
Perform the math to find the answer
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Solve for 
if
Solve for
Tap to reveal answer
To perform a two-step algebra problem with addition and multiplication we must remove the numbers from so it is by itself on one side of the equation.
To do this we first look to see if a number is being added or subtracted from .
In this case a number is being added so we must subtract the number, 
, from each side of the equation: 
Perform the math so that our equation becomes 
.
Then we divide each side of the equation by the number that is in front of , 
, to get by itself
Perform the math to find the answer 
To perform a two-step algebra problem with addition and multiplication we must remove the numbers from
To do this we first look to see if a number is being added or subtracted from
In this case a number is being added so we must subtract the number,
Perform the math so that our equation becomes
Then we divide each side of the equation by the number that is in front of
Perform the math to find the answer
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Solve for 
if
Solve for
Tap to reveal answer
To perform a two-step algebra problem with addition and division we must remove the numbers from so it is by itself on one side of the equation.
To do this we first look to see if a number is being added or subtracted from .
In this case a number is being subtracted so we must add the number, 
, to each side of the equation
Perform the math so our equation becomes
Then we multiply each side of the equation by the number that is under , 
, to get by itself 
Perform the math to find the answer 
To perform a two-step algebra problem with addition and division we must remove the numbers from
To do this we first look to see if a number is being added or subtracted from
In this case a number is being subtracted so we must add the number,
Perform the math so our equation becomes
Then we multiply each side of the equation by the number that is under
Perform the math to find the answer
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Solve for 
if
Solve for
Tap to reveal answer
To perform a two step algebra problem with addition and division we must remove the numbers from so it is by itself on one side of the equation.
To do this we first look to see if a number is being added or subtracted from .
In this case a number is being subtracted so we must add the number, 
, to each side of the equation
Perform the math so our equation becomes
Then we multiply each side of the equation by the number that is under to get by itself
Perform the math to find the answer 
To perform a two step algebra problem with addition and division we must remove the numbers from
To do this we first look to see if a number is being added or subtracted from
In this case a number is being subtracted so we must add the number,
Perform the math so our equation becomes
Then we multiply each side of the equation by the number that is under
Perform the math to find the answer
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Solve for 
if
Solve for
Tap to reveal answer
To perform a two-step algebra problem with addition and division we must remove the numbers from so it is by itself on one side of the equation.
To do this we first look to see if a number is being added or subtracted from .
In this case a number is being subtracted so we must add the number, 
, to each side of the equation
Perform the math so our equation becomes
Then we multiply each side of the equation by the number that is under to get by itself
Perform the math to find the answer 
To perform a two-step algebra problem with addition and division we must remove the numbers from
To do this we first look to see if a number is being added or subtracted from
In this case a number is being subtracted so we must add the number,
Perform the math so our equation becomes
Then we multiply each side of the equation by the number that is under
Perform the math to find the answer
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Solve for if
Solve for
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The problem above is a two-step algebra problem with distribution.
To solve you must first distribute the 
outside of the parentheses to both of the numbers inside my multiplying.
Perform the multiplication with 
and each of the individual numbers to get our new equation, 
Then we must get our variable, , by itself.
We must subtract the number, 
, from each side of the equation 
Perform the math so our equation becomes 
.
Then we divide each side of the equation by the number that is in front of to get by itself
Solve to find the answer 
.
The problem above is a two-step algebra problem with distribution.
To solve you must first distribute the
Perform the multiplication with
Then we must get our variable,
We must subtract the number,
Perform the math so our equation becomes
Then we divide each side of the equation by the number that is in front of
Solve to find the answer
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Solve for if
Solve for
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The problem above is a two-step algebra problem with distribution.
To solve you must first distribute the 
outside of the parentheses into both of the numbers inside my multiplying 
Then we must get our variable, , by itself.
To do this we must add the number, 
, to each side of the equation
Perform the math so our equation becomes 
.
Then we divide each side of the equation by the number that is in front of to get by itself
Perform the math to find the answer 
The problem above is a two-step algebra problem with distribution.
To solve you must first distribute the
Then we must get our variable,
To do this we must add the number,
Perform the math so our equation becomes
Then we divide each side of the equation by the number that is in front of
Perform the math to find the answer
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