A term that is only a number

Constant

(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…

5x-2=6

Linear Equation in One Variable

or

First Degree Equation in One Variable

A Math Problem written like so…

“7+4=11” is called an ______.

Equation

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

A Variable

(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.

Like Terms

3x^{4} & 7x^{4} are like terms

3x^{2} & 7x^{4} are unalike

3y^{4} & 7x^{4} are unalike

Solving Equations Step 3

Combine any like terms on each side of the equation

The variable or constant of an algebraic expressions

Terms

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

Equations

Equations

Expression (x+7)

Equation(x+7= 10)

The SUM or DIFFERENCE of like terms can be simplified using the_________

Distributive Property

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.

Solution