Podcast
Questions and Answers
Simplify the expression: $\frac{x^{2/3} \times x^{1/3}}{x}$
Simplify the expression: $\frac{x^{2/3} \times x^{1/3}}{x}$
- $x$
- $x^{2/9}$
- 1 (correct)
- $x^{1/3}$
What is the simplified form of $(x^{1/2}y^{1/3})^6$?
What is the simplified form of $(x^{1/2}y^{1/3})^6$?
- $x^6y^3$
- $x^3y^2$ (correct)
- $x^2y^3$
- $x^5y^4$
Which statement accurately describes the diagonals of a rhombus?
Which statement accurately describes the diagonals of a rhombus?
- They are parallel.
- They are congruent.
- They are perpendicular. (correct)
- They are complementary.
Simplify $\sqrt[4]{32x^8y^{12}}$
Simplify $\sqrt[4]{32x^8y^{12}}$
Evaluate: $2\sqrt{5} + 3\sqrt{5} - 5\sqrt{5}$
Evaluate: $2\sqrt{5} + 3\sqrt{5} - 5\sqrt{5}$
What is the rationalized form of $\frac{3}{\sqrt{5}}$?
What is the rationalized form of $\frac{3}{\sqrt{5}}$?
One angle of a parallelogram measures 60°. What is the measure of its opposite angle?
One angle of a parallelogram measures 60°. What is the measure of its opposite angle?
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?
Flashcards
√−9
√−9
The square root of -9 is undefined in the realm of real numbers because there's no real number that, when multiplied by itself, equals -9.
± √144
± √144
The square root of 144 results in both 12 and -12, because both of these values when squared equals 144.
Index of ⁴√81
Index of ⁴√81
The index of a radical indicates the degree of the root to be taken. In the expression ⁴√81, the index is 4.
Simplify x^(2/3) * x^(1/3)
Simplify x^(2/3) * x^(1/3)
Signup and view all the flashcards
Simplify (x^(1/2) y^(1/3))^6
Simplify (x^(1/2) y^(1/3))^6
Signup and view all the flashcards
Parallelogram opposite sides
Parallelogram opposite sides
Signup and view all the flashcards
Rhombus diagonals
Rhombus diagonals
Signup and view all the flashcards
Rectangle angles
Rectangle angles
Signup and view all the flashcards
Study Notes
Review In Math 9 Long Test
-
The square root of -9 is ±3i.
-
±√144 equals ±12.
-
The index of ⁴√81 is 4.
-
To simplify x^(2/3) * x^(1/3), the answer is x.
-
The simplified form of (x^(1/2)y^(1/3))^6 is x³y².
-
In a parallelogram, opposite sides are congruent.
-
In a rhombus, the diagonals are perpendicular.
-
In a rectangle, all angles measure 90°.
-
A quadrilateral with only one pair of parallel sides is called a trapezoid.
-
The diagonals of a rectangle are congruent.
Simplifying Radicals
-
√72 simplified is 6√2.
-
√32x⁴y⁶ simplified is 4x²y³√2.
-
2√5 + 3√5 - 5√5 equals 0.
-
To rationalize the denominator of 3/√5, multiply the numerator and denominator by √5, which results in (3√5)/5.
-
The product of √3a and √15a³ is 3a²√5.
Parallelograms
-
If one angle of a parallelogram is 60°, the opposite angle is 60°.
-
In a rhombus, the diagonals bisect each other.
-
The sum of interior angles of a quadrilateral is 360°.
-
In a parallelogram, consecutive angles are supplementary.
-
The diagonals of a square are equal in length, perpendicular, and bisect each other.
Solving Equations
-
If x + y = 10 and x - y = 6, then x = 8.
-
If the sides of a rectangle are 6 cm and 8 cm, the diagonal length is 10 cm.
Finding Values of Angles and Sides
-
Given a parallelogram with angles x + 25° and x + 35°, the value of x is 60.
-
In a trapezoid with bases of length 10 and 20, the measure of the midsegment EF is 15.
-
In a kite with angles of 150°, 55°, and 55°, the missing angle is 100°.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
Review of Math 9 concepts, including square roots, radicals, and geometry. Covers simplifying radicals, properties of parallelograms, rhombus and rectangles. Includes problems on rationalizing denominators and quadrilateral properties.
