M. 1. 4.- Solve Equations with one variable

Expressions

A finite string of mathematical symbols(numbers, operations, variables) that are grouped to show a value

Equation

Statement that shows that two expressions are equal to eahc other

algebraic expression

A mathematical sentence that includes at least one operation and a variable and consists of tterms

Terms

A number, a variable, or a product of numbers and variables. They are separated by addition and subtraction signs

Constant

A number itself in an algebraic expression

variable

Letter that represents an unknown quantity and written without a numerical part as it has a coefficient of one

Coefficient

The number being multiplied by a variable

Range

the difference between the highest and lowest scores in a set of data

Inverse mathematical operations

Opposites of each other and cancel each other out. Ex: to cancel a subtraction operation, use addition. To cancel a division operation, use multiplication. If you want to cancel multiplication of a fraction, you can cancel the multiplication by division. Recall that to divide by a fraction, you need to multiply by the reciprocal of the fraction.

Solve

to find the answer

1. Combine(simplifying an expression by using the distributive property) all variable terms(any term that includes an unknown quantity) on one side of the equal sign using inverse operations 2. Combine all constants on the other side of the equal sign using inverse operations 3. Use inverse operations to isolate the variable

To solve an equation means to find the value of the variable that will make the equation true(both side of the equation have the same value):

Solution

the answer to a problem

Proportional

An equation that states that two ratios are equivalent

Ratio

Shows the number of times one number is contained within another number

Constant of proportionality

A proportional relationship between two quantities occurs when the ratio of one quantity to another is constant or when one fraction is equivalent to the other. The constant rate is called this(the constant ratio between two quantities)

K

The contrast of proportionality is represented by this variable

Cross multiplication

To solve a proportional relationship with an unknown quantity, this method can be used