Mathematics 7 Reviewer - 1st Term Assessment Test

Vocabulary flashcards covering geometry definitions, polygon angle formulas, percentage calculations, discounts, commission, sales tax, and basic financial planning concepts.

Polygon

A closed figure made of straight lines.

Quadrilateral

A polygon that has four sides.

Complementary Angles

Two angles whose sum is $90^\circ$.

Supplementary Angles

Two angles that sum up to $180^\circ$.

Adjacent Angles

Two angles that have a common side and common vertex.

Equilateral Polygon

A polygon that has three equal sides.

Hexagon

A polygon that has six sides.

Exterior Angle

An angle located outside the polygon.

Interior Angle

An angle located inside the polygon.

Naming an Angle (ARM – VERTEX – ARM)

A method of naming an angle using a point on one arm, the vertex, and a point on the second arm (e.g., \angle ABC or \angle LMN).

Sum of Interior Angles Formula

The formula $S = (n - 2) \times 180^\circ$, used to calculate the sum of all the measures of the interior angles of a polygon with $n$ sides.

Number of Sides Formula

The formula $n = \frac{S}{180} + 2$, used to find the number of sides $n$ of a polygon given the sum of the interior angle measures $S$.

Percentage Increase

An increase in the original amount expressed as a percent, calculated using $\text{Percentage Increase} = \frac{\text{Increase}}{\text{Original Value}} \times 100\%$, where $\text{Increase} = \text{New Value} - \text{Original Value}$.

Percentage Decrease

A decrease in the original amount expressed as a percent, calculated using $\text{Percentage Decrease} = \frac{\text{Decrease}}{\text{Original Value}} \times 100\%$, where $\text{Decrease} = \text{Original Value} - \text{New Value}$.

Percentage ($P$)

The part or amount that is being found, answering the question: 'How much is the part?'. Formula: $P = B \times R$.

Rate ($R$)

The percent (%) that tells how much of the base is being considered, answering: 'What percent?'. Formula: $R = \frac{P}{B} \times 100$.

Base ($B$)

The whole or original amount on which the percentage is based, answering the question: 'What amount?'. Formula: $B = \frac{P}{R}$.

Discount

The amount deducted from the original price of an item, calculated as $\text{Discount} = \text{Original Price} \times \text{Discount Rate}$.

Sales

A promotional event where products are sold at reduced prices, where $\text{Sale Price} = \text{Original Price} - \text{Discount}$.

Commission

An amount of money earned by a salesperson based on the value of goods or services sold, calculated as $\text{Commission} = \text{Sales} \times \text{Commission Rate}$.

Sale Tax

A tax imposed on the sale of goods and services in the form of Value Added Tax (VAT), which is an additional amount paid by the buyer based on the selling price.

Income

The money that a person receives or earns.

Expenses

The money spent on goods and services.

Savings

The money that is set aside for future use.

Needs

Things that are necessary for living and functioning, such as food, water, shelter, basic clothing, and transportation.

Wants

Things that are desirable but not necessary, such as expensive gadgets, designer clothes, entertainment, online shopping, and luxury items.

Budget

A plan for how money will be earned, spent, and saved.

Debt

An obligation to pay or give something—usually money—to another person, business, or institution.

Financial Goal

Something a person plans to achieve using money, such as saving to buy a laptop, building an emergency fund, or saving for college.