What is the Pythagorean theorem?

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: $$a^2 + b^2 = c^2$$ .

What is the distance formula in a coordinate plane?

The distance between two points $$(x_1, y_1)$$ and $$(x_2, y_2)$$ is given by $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ .

What is the definition of a perfect square?

A perfect square is an integer that is the square of an integer.

What is the square root of a number?

The square root of a number $$x$$ is a value $$y$$ such that $$y^2 = x$$ .

How do you simplify $$\sqrt{\frac{a}{b}}$$ ?

$$\frac{\sqrt{a}}{\sqrt{b}}$$ .

What is the definition of a coordinate plane?

A coordinate plane is a two-dimensional surface formed by the intersection of a vertical line (y-axis) and a horizontal line (x-axis).

What is the midpoint formula?

The midpoint between two points $$(x_1, y_1)$$ and $$(x_2, y_2)$$ is given by $$\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$$ .

What is the definition of a linear equation?

A linear equation is an equation that makes a straight line when graphed. It can be written in the form $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What is the formula for the area of a triangle?

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

Math 8 1st Semester Exam Study Guide 24-25 Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

Irrational

3.

FLASHCARD QUESTION

Front

Back

3 and 4

4.

FLASHCARD QUESTION

Front

How do you reflect the point (2, 3) over the y-axis?

Back

(-2, 3)

5.

FLASHCARD QUESTION

Front

What is the length of the missing side if the other sides are 8 and 15?

Back

17

6.

FLASHCARD QUESTION

Front

What is the definition of a rational number?

Back

7.

FLASHCARD QUESTION

Front

What is the definition of an irrational number?

Back

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