Unit 7-9 Final Exam Review

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) of an angle A is defined as the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(A) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

If FD = 3x - 7 and EG = x + 5, how do you find EG?

Back

To find EG, substitute the value of x that satisfies FD = EG. Solve the equation 3x - 7 = x + 5 to find x, then substitute back to find EG.

Tags

CCSS.HSG.CO.C.11

Front

What are the properties of a rhombus?

Back

A rhombus is a quadrilateral with all four sides of equal length. Opposite angles are equal, and adjacent angles are supplementary. The diagonals bisect each other at right angles.

Tags

CCSS.3.G.A.1

Front

What distinguishes a square from a rectangle?

Back

A square is a special type of rectangle where all four sides are equal in length. A rectangle has opposite sides equal and all angles are right angles.

Tags

CCSS.5.G.B.4

Front

How do you simplify the expression -12√5 - 2√6?

Back

The expression is already in its simplest form as it cannot be combined further due to different radicands.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What is the Pythagorean theorem?

Back

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). Formula: c² = a² + b².

Tags

CCSS.8.G.B.8

Front

What is the definition of a square root?

Back

A square root of a number x is a value that, when multiplied by itself, gives x. It is denoted as √x.

Tags

CCSS.8.EE.A.2

Front

How do you calculate the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated using the formula: Perimeter = 2(length + width).

Tags

CCSS.4.MD.A.3

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion.

Tags

CCSS.8.NS.A.1