A term that is only a number
(Two Terms) 3x+2 (2 is constant)
Solving Equations Step 5
Use the Multiplication property of equality to divide both sides by the numerical coefficient of the variable to solve.
What is this type of equation called…
Linear Equation in One Variable
First Degree Equation in One Variable
A Math Problem written like so…
“7+4=11” is called an ______.
The Addition Property of Equality
A,B, and C represent numbers
If A=B, then A+C = B+C
And A - C = B - C
In problem solving of equations what does “UTSIC” Stand For?
Understand- the Problem
Translate- Into an equation
Solve- The Equation
Interpret- The Results
Check- The Conclusion.
Solving Equations Step 6
Check the solution in the original equation
A Term That Contains a Non-Constant
(Two Terms) 3x+2 (x is is Variable)
The number Factor of a term w/ a variable.
A Numerical Coefficient 3x (3 Is the Coefficient)
Solving equations step 1
If there are fractions present multiply both sides of the equation by the LCD of the fractions.
Terms that contain the SAME VARIABLE and RAISED TO THE SAME exponents are called.
3x4 & 7x4 are like terms
3x2 & 7x4 are unalike
3y4 & 7x4 are unalike
Solving Equations Step 3
Combine any like terms on each side of the equation
The variable or constant of an algebraic expressions
x+3 (Two Terms)
3y+x+6 (Three Terms)
Solving Equations Step 2
If there are Parentheses Use The Distributive Property
Expressions are equal to _________.
The Only difference is that expressions are not for solving.
Where as ________. are
The SUM or DIFFERENCE of like terms can be simplified using the_________
If A,B, and C are numbers then…
ac + bc= (a+b)c
ac - bc = (a-b)c
Solving Equations Step 4
Use the addition property of equality to rewrite the equation so that variable terms are on one side of the equation, and constant terms are on the other side.
The Multiplication Property of Equality
Let A,B, and C represent numbers
If C≠0 and A=B, then..
AxC = BxC
And A÷C = B÷C
A ______ for an equation is a value for the variable that makes the equation a true statement.