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For an expression to be linear, you need it the exponent on x to be only one or zero, nothing more.
Ex: 5x + 3
Nonlinear expressions are any exponent on x higher than 1.
Ex: 9-x^2
Check out this quick video to see more!
Ex: 5x + 3
Nonlinear expressions are any exponent on x higher than 1.
Ex: 9-x^2
Check out this quick video to see more!
Simplifying expressions
The first step to simplifying is to combine all liked terms.
Liked terms are all of which have the same exponent and variable.
To simplify all of the liked terms, you have to add or subtract all of the coefficients of them.
Ex: 4w + 6 - 1.5w
2.5w + 6
Check out this cool video if you need more help!
Liked terms are all of which have the same exponent and variable.
To simplify all of the liked terms, you have to add or subtract all of the coefficients of them.
Ex: 4w + 6 - 1.5w
2.5w + 6
Check out this cool video if you need more help!
solution or not?
To find out if the solution is a true solution or not, we an substitute numbers into the equation to see if everything is equal.
Ex: 4 + 15x = 49
Is x = 3 a solution?
4 + 15(3) = 49
49 = 49
Yes!
Let'd do a few practice problems:
1) Is one a solution for 8x - 19 = -4 - 7x
2) Is five a solution to number one?
3) Is five a solution for 3(x + 1) = 3x + 3
Answers:
1) Yes
2) No
3) Yes
Ex: 4 + 15x = 49
Is x = 3 a solution?
4 + 15(3) = 49
49 = 49
Yes!
Let'd do a few practice problems:
1) Is one a solution for 8x - 19 = -4 - 7x
2) Is five a solution to number one?
3) Is five a solution for 3(x + 1) = 3x + 3
Answers:
1) Yes
2) No
3) Yes
Types of Solutions
Linear equations have one solution most of the time. They can also have none or infinite solutions.
To find out if the equation has one, none, or infinite solutions, you will need to solve for x and see if the solution comes to equal itself.
If it does not equal, there is no solution.
If it is equal, there is infinite solutions.
If x only equal one number, then there is only one solution.
To find out if the equation has one, none, or infinite solutions, you will need to solve for x and see if the solution comes to equal itself.
If it does not equal, there is no solution.
If it is equal, there is infinite solutions.
If x only equal one number, then there is only one solution.