What does it mean for an equation to be equivalent?

Two equations are equivalent if they have the same solution set. For example, $$y = 2x + 3$$ and $$y - 2x - 3 = 0$$ are equivalent.

How do you simplify a square root expression?

To simplify a square root expression, factor out perfect squares. For example, $$\sqrt{36x^4} = 6x^2$$ .

What is the significance of the leading coefficient in a polynomial?

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. It affects the end behavior of the polynomial graph.

What is the formula for the area of a triangle?

The area A of a triangle is given by the formula $$A = \frac{1}{2} \times base \times height$$ .

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): $$c^2 = a^2 + b^2$$ .

How do you convert a fraction to a decimal?

To convert a fraction to a decimal, divide the numerator by the denominator. For example, $$\frac{1}{4} = 0.25$$ .

What is the formula for the slope of a line?

The slope m of a line is calculated as $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ , where (x1, y1) and (x2, y2) are two points on the line.

What is the difference between a function and a relation?

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). In contrast, a relation can have multiple outputs for a single input.

Benchmark 2 Review (Math 1) Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an exponential equation?

Back

2.

FLASHCARD QUESTION

Front

How do you write an exponential equation from a table of values?

Back

3.

FLASHCARD QUESTION

Front

What is the square root of a variable expression?

Back

4.

FLASHCARD QUESTION

Front

How do you find the equation of a sequence?

Back

5.

FLASHCARD QUESTION

Front

What is the formula for finding the midpoint between two points?

Back

6.

FLASHCARD QUESTION

Front

What is a recursive formula?

Back

7.

FLASHCARD QUESTION

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage. For example, in linear growth, if you add 2 each time, in exponential growth, you might multiply by 2.

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