Algebra 1 Lesson 2 Flashcards

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Questions and Answers

What is a commission?

  • The total cost of an item
  • A discount applied to a product
  • An equation in mathematics
  • A fee paid for services, usually a percentage of the total cost (correct)

What is a contradiction in mathematics?

A statement that goes against an assumption.

What is a conversion factor?

A numerical factor used to multiply or divide a quantity when converting from one system of units to another.

What are corresponding angles?

<p>Angles created where a transversal crosses other (usually parallel) lines.</p> Signup and view all the answers

What are corresponding sides?

<p>Sides that maintain the same relative position in two figures.</p> Signup and view all the answers

What are cross products?

<p>Two equal products obtained by multiplying the second term of each ratio by the first term of the other ratio in a proportion.</p> Signup and view all the answers

What is a discount?

<p>A percentage subtracted from a number.</p> Signup and view all the answers

If a $30 item has a 20% discount, how much would you have to pay for it?

<p>$24 (A)</p> Signup and view all the answers

What is an equation?

<p>A mathematical statement that two things are equal.</p> Signup and view all the answers

What is a formula?

<p>Numbers and symbols that show how to work something out.</p> Signup and view all the answers

What is an identity?

<p>An equality relation A = B that holds true for all values substituted for the variables.</p> Signup and view all the answers

What is indirect measurement?

<p>A technique that uses proportions to find a measurement when direct measurement is not possible.</p> Signup and view all the answers

What is interest?

<p>The amount of money paid for a loan or an investment.</p> Signup and view all the answers

What is a literal equation?

<p>An equation where known quantities are expressed partially or wholly by means of letters.</p> Signup and view all the answers

What is markup?

<p>The amount added to the cost price of goods to cover overhead and profit.</p> Signup and view all the answers

What does percent mean?

<p>Parts per 100.</p> Signup and view all the answers

What is percent change?

<p>The extent to which something gains or loses value.</p> Signup and view all the answers

What is percent decrease?

<p>A measure of the extent to which something loses value.</p> Signup and view all the answers

What is percent increase?

<p>A measure of the extent to which something gains value.</p> Signup and view all the answers

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Study Notes

Key Terms in Algebra 1

  • Commission: A fee for services, typically calculated as a percentage of the total cost.

  • Contradiction: In mathematics, a statement that opposes an assumption, such as assuming a variable is negative and subsequently stating it equals a positive product.

  • Conversion Factor: A numerical multiplier or divisor used for changing quantities from one unit system to another.

  • Corresponding Angles: Angles located at the same position in two different intersections created by a transversal crossing parallel lines.

  • Corresponding Sides: Sides in two figures that occupy the same relative position.

  • Cross Products: Equal products achieved by multiplying opposite terms in a proportion, demonstrating equality of two ratios.

  • Discount: A percentage deducted from a price; for example, a 10% discount on a $30 item results in a $3 reduction.

  • Equation: A mathematical expression stating that two quantities are equal, represented on either side of an equals sign.

  • Formula: A mathematical expression using symbols to describe the relationship between variables; for instance, the volume of a box is calculated as V = h × w × l.

  • Identity: An equality that holds true regardless of the values substituted in; examples include algebraic identities like (x + y)² = x² + 2xy + y².

  • Indirect Measurement: A method to determine a value using proportions when direct measurement is unfeasible.

  • Interest: The cost associated with a loan or investment, representing the price paid for borrowed money.

  • Literal Equation: An equation that expresses known quantities using letters, as opposed to numerical equations.

  • Markup: The process of determining the increase in value or price, refocusing on the absolute change and its percentage related to the original amount.

  • Percent: Refers to parts per hundred, often used to express ratios or comparisons.

  • Percent Change: A measure of how much a quantity increases or decreases in relation to its previous value.

  • Percent Decrease: A specific measure of how much a quantity loses in value, expressed as a percentage.

  • Percent Increase: A specific measure of how much a value gains relative to its original amount, also expressed as a percentage.

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