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Questions and Answers
Which of the following expressions is equivalent to $x^{\frac{2}{3}} \cdot x^{\frac{1}{3}}$?
Which of the following expressions is equivalent to $x^{\frac{2}{3}} \cdot x^{\frac{1}{3}}$?
- $x^{\frac{3}{6}}$
- $x^{\frac{1}{2}}$
- $x^{\frac{2}{9}}$
- $x$ (correct)
What is the simplified form of $(x^{\frac{1}{2}}y^{\frac{1}{3}})^6$?
What is the simplified form of $(x^{\frac{1}{2}}y^{\frac{1}{3}})^6$?
- $x^6y^3$
- $x^2y^3$
- $x^3y^2$ (correct)
- $x^3y^6$
If one angle of a parallelogram is 60°, what is the measure of the angle opposite to it?
If one angle of a parallelogram is 60°, what is the measure of the angle opposite to it?
- 90°
- 60° (correct)
- 120°
- 30°
In a rhombus, what is a key property of its diagonals?
In a rhombus, what is a key property of its diagonals?
What is the sum of the interior angles of any quadrilateral?
What is the sum of the interior angles of any quadrilateral?
Given the equations $x + y = 10$ and $x - y = 6$, what is the value of $x$?
Given the equations $x + y = 10$ and $x - y = 6$, what is the value of $x$?
If the sides of a rectangle are 6 cm and 8 cm, what is the length of the diagonal?
If the sides of a rectangle are 6 cm and 8 cm, what is the length of the diagonal?
Simplify the expression: $2\sqrt{5} + 3\sqrt{5} - \sqrt{5}$
Simplify the expression: $2\sqrt{5} + 3\sqrt{5} - \sqrt{5}$
Flashcards
Square Root
Square Root
A number that, when multiplied by itself, results in a given number.
Index of a Radical
Index of a Radical
The 'n' in the radical expression ⁿ√a, indicating the degree of the root.
Simplifying Fractional Exponents
Simplifying Fractional Exponents
Simplifying an expression with fractional exponents involves applying exponent rules, such as multiplying exponents when raising a power to a power.
Opposite Sides of a Parallelogram
Opposite Sides of a Parallelogram
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Rhombus Diagonals
Rhombus Diagonals
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Angles in a Rectangle
Angles in a Rectangle
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Trapezoid
Trapezoid
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Rectangle Diagonals
Rectangle Diagonals
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Study Notes
Review In Math 9 Long Test
- √-9 = ±3i
- ±√144 = ±12
- The index of ⁴√81 = 4
- Simplify x^(2/3) * x^(1/3) results in x
Simplify (x^(1/2)y^(1/3))^6
- Simplified form is x³y²
Parallelogram Properties
- Opposite sides are congruent
Rhombus Properties
- Diagonals are perpendicular
Rectangle Properties
- All angles measure 90°
Quadrilateral Classifications
- A quadrilateral with only one pair of parallel sides is a trapezoid
Rectangle Diagonal Properties
- Diagonals are congruent
Simplifying Radicals
- √72 = 6√2
- √32x⁴y⁶ = 4x²y³√2
- 2√5 + 3√5 - 5√5 = 0
Rationalizing Denominators
- 3/√5 = (3√5)/5
Radical Products
- √3a * √15a³ = 3a²√5
Parallelogram Angles
- If one angle of a parallelogram is 60°, the opposite angle is 60°
Rhombus Diagonals
- Diagonals bisect each other
Quadrilateral Interior Angles
- The sum of interior angles = 360°
Parallelogram Consecutive Angles
- Consecutive angles are supplementary
Square Diagonals
- Diagonals are equal in length, perpendicular, and bisect each other
Solving Equations
- If x + y = 10 and x - y = 6, then x = 8
Rectangle Diagonal Length
- If the sides = 6 cm and 8 cm, the diagonal length = 10 cm
Solving for x in a Quadrilateral
- If one angle = x + 25° and the other is x + 35°, then x = 60
Trapezoid Midsegment
- The measure of midsegment EF = 15
Kite Angles
- A missing angle in the kite is 100°
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Description
Ninth grade mathematics review covering radicals, properties of parallelograms, rhombus, rectangles with simplification, rationalization. It also covers classifications and angles of quadrilaterals including trapezoids.
