All Algebra 1 Resources
Example Questions
Example Question #261 : Linear Equations
What property of equality lets me solve the one-step equation , if I know that ?
Transitive Property of Equality
Substitution Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Reflexive Property of Equality
Substitution Property of Equality
The Substitution Property of Equality tells me that if , then wherever I could write , I may instead substitute (and vice versa)! This rule underpins most mathematics.
Therefore, if , the Substitution Property of Equality lets me say that ---> .
Example Question #261 : Algebra 1
Solve the following equation:
This is a one-step equation where you need to divide both sides by to get by itself.
So, when you simplify this you get
Example Question #263 : Linear Equations
Solve for :
In order to solve for , we will need to multiply both sides by .
Simplify the left and right sides of the equation.
The answer is:
Example Question #264 : Algebra 1
Solve for
In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the reverse operations that were done on the variable to both sides of the equation.
Subtract from both sides of the equation.
Solve.
Example Question #264 : Linear Equations
Solve for .
In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the reverse operations that were done on the variable to both sides of the equation.
Subtract from both sides of the equation.
Remember since is greater than and is negative, our answer is negative. We will treat the operation as a normal subtraction problem.
Solve.
Example Question #265 : Linear Equations
Solve for .
In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the reverse operations that were done on the variable to both sides of the equation.
Subtract from both sides of the equation.
When subtracting a number from a negative number, we will treat the operation as addition and place a negative sign in front of the answer.
Solve.
Example Question #266 : Linear Equations
Solve for .
In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the reverse operations that were done on the variable to both sides of the equation.
Add to both sides of the equation.
Solve.
Example Question #262 : Linear Equations
Solve for .
In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the reverse operations that were done on the variable to both sides of the equation.
Add to both sides of the equation.
Remember since is greater than and is positive, our answer is positive. We will treat the operation as a normal subtraction problem.
Solve.
Example Question #267 : Linear Equations
Solve for .
In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the reverse operations that were done on the variable to both sides of the equation.
Add to both sides of the equation.
Remember since is greater than and is negative, our answer is negative. We will treat the operation as a normal subtraction problem.
Solve.
Example Question #268 : Linear Equations
Solve for .
In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the reverse operations that were done on the variable to both sides of the equation.
Divide both sides of the eqaution by .
Solve.