Factoring Quadratic Expressions
To factor the quadratic expression x^2 + 7x + 10, you look for two numbers that multiply to 10 and add up to this coefficient of the middle term.
What is 7
This type of growth increases by a constant amount over equal intervals of time, producing a constant slope ($m$) in an equation like $y = mx + b$.
What is linear growth
Unlike a single detail or supporting example, the central idea of a non-fiction text summarizes this primary component of the author's work.
What is Main Idea
When providing evidence from a passage, taking the exact words written by the author and placing them in quotation marks is known as this type of evidence.
What is a direct quote
This is the $y$-intercept of the linear equation 3x - 4y = 12, written as a coordinate point.
What is (0, -3)$
The completely factored form of the quadratic expression 6x^2 - 11x - 10.
What is (2x - 5)(3x + 2)
This type of growth increases by a constant percentage multiplier over equal intervals of time, resulting in a curved graph rather than a straight line.
What is exponential growth
To distinguish between a topic and a central idea, a reader should remember that while the topic can be stated in a single word or phrase (like "climate change"), the central idea must be stated in this grammatical format.
What is a complete sentence
Restating a author's ideas or evidence in your own words while maintaining the original meaning is called this.
What is paraphrasing
This is the standard form of a linear equation, where A, B, and C are integers.
What is Ax + By = C
When factoring x^4 - 16 completely over the real numbers using the difference of squares, you get this product of three factors.
What is (x^2 + 4)(x + 2)(x - 2)
If you deposit money in an account that earns $50 of simple interest every single year, your total balance over time is modeled by this kind of growth function.
What is a linear function
In an informational passage, supporting evidence such as statistics, expert quotes, and historical facts serve this primary purpose in relation to the central idea.
To support
A conclusion or educated guess reached on the basis of textual evidence and your own background knowledge is known by this term.
What is an inference
his form of a linear equation is written as y - y_1 = m(x - x_1)
What is point-slope form
To factor 4x^2 + 20x + 25, you can recognize it as this type of special product, which factors into a single squared binomial.
What is a perfect square trinomial? (Factors to (2x + 5)^2)
In the standard exponential growth equation $y = a(b)^x$, this base letter represents the growth factor, which must be strictly greater than this number for growth to occur.
What is 1
When a text contains multiple paragraphs each with its own topic sentence, a reader determines the overarching central idea by identifying this common element across all sections.
What is the unifying theme
In standard academic writing, providing textual evidence requires including this, which tells the reader the author, title, or page number where the information was found.
What is a citation
This is the slope of a vertical line.
What is undefined (or no slope)
In the "ac method" for factoring 8x^2 - 14x + 3, you must find two integers that multiply to give $24$ and add up to this number.
What is -14? (The numbers are -12$ and -2)
This term describes the constant duration of time it takes for an exponentially growing quantity to double in size, a value that stays the same regardless of how large the starting amount is.
What is doubling time
In a literary or persuasive essay, an author might leave the central idea unstated rather than directly written. This type of central idea is known by this term.
What is an implied central idea
When evaluating evidence in non-fiction, this term refers to a writer’s underlying assumption or unstated connection between the evidence and the claim.
What is a warrant (or underlying premise)
A system of linear equations that has infinitely many solutions has graphs that represent this relationship.
What are coincident lines (the exact same line)