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Questions and Answers
Mr. Green has saved $500 and plans to save an additional $150 each month. Formulate an algebraic expression to represent the total amount of money saved after m months.
Mr. Green has saved $500 and plans to save an additional $150 each month. Formulate an algebraic expression to represent the total amount of money saved after m months.
$500 + $150m
Express the algebraic representation of 'the square of a divided by the fourth root of b'.
Express the algebraic representation of 'the square of a divided by the fourth root of b'.
$\frac{a^2}{\sqrt[4]{b}}$
Given $x = 4$, $y = -2$, and $z = \frac{1}{2}$, what is the value of the expression $\frac{x^2 - 3y}{4z}$?
Given $x = 4$, $y = -2$, and $z = \frac{1}{2}$, what is the value of the expression $\frac{x^2 - 3y}{4z}$?
$\frac{22}{2}$ or 11
Given $a = 10$, $b = \frac{1}{5}$, and $c = -2$, evaluate the expression $|5 - a| + b^2\sqrt{25c^2} + 5$.
Given $a = 10$, $b = \frac{1}{5}$, and $c = -2$, evaluate the expression $|5 - a| + b^2\sqrt{25c^2} + 5$.
Which of the following expressions are equivalent to $x^6$: $\frac{x^8}{x^2}$, $\frac{x^{12}}{x^2}$, $(x^3)^2$, or $x^4 \cdot x^2$?
Which of the following expressions are equivalent to $x^6$: $\frac{x^8}{x^2}$, $\frac{x^{12}}{x^2}$, $(x^3)^2$, or $x^4 \cdot x^2$?
Simplify the expression $(\frac{1}{3}x^2)(\frac{1}{5}x^4)$ completely.
Simplify the expression $(\frac{1}{3}x^2)(\frac{1}{5}x^4)$ completely.
Completely simplify: $(-2a^2b^{-3}c)^3$
Completely simplify: $(-2a^2b^{-3}c)^3$
Determine the value of k such that the expression $\frac{x^{3k}}{x^{6}}$ is equivalent to $x^{18}$.
Determine the value of k such that the expression $\frac{x^{3k}}{x^{6}}$ is equivalent to $x^{18}$.
Simplify the expression $(\frac{3x^2y^4}{9xy^{-2}})^{-3}$.
Simplify the expression $(\frac{3x^2y^4}{9xy^{-2}})^{-3}$.
A rectangular prism has dimensions $3x^2y$, $4xy^3$, and $2x^3y^2$. Express its volume in simplified form.
A rectangular prism has dimensions $3x^2y$, $4xy^3$, and $2x^3y^2$. Express its volume in simplified form.
Flashcards
Expression for total savings
Expression for total savings
An expression to find the total amount of money saved, with $1,000 initial savings and $200 saved each month represented by 'x'.
Quotient of Twice X and Cube Root of Y
Quotient of Twice X and Cube Root of Y
Represents the quotient of twice a variable 'X' divided by the cube root of a variable 'Y'.
Equivalent to x⁸
Equivalent to x⁸
Equivalent expressions to x⁸ are x³ * x⁵
Simplify (-5q³r⁻⁵s)²
Simplify (-5q³r⁻⁵s)²
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Simplify (2x⁴y³ / 8xy⁻⁵)⁻²
Simplify (2x⁴y³ / 8xy⁻⁵)⁻²
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Value of p where expression is equivalent to x⁵⁰
Value of p where expression is equivalent to x⁵⁰
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Volume of a 3D shape
Volume of a 3D shape
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Simplified form of √60
Simplified form of √60
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Simplify √270
Simplify √270
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Study Notes
- These notes cover math problems from a test review
Problem 1
- Expression to represent total savings is 1,000 + 200x
- It calculates total amount saved where x is the number of months
Problem 2
- Expression for "the quotient of twice of X and cube root of Y" is (2x) / (cube root of Y)
Problem 3
- Given a = 12, b = -7, and c = 1/4, evaluating (b^3 - 5a) / (8c) yields -201.5
Problem 4
- Given a = 25, b = 1/9, and c = 7 evaluate |9 - a| + b^3 * sqrt(5a) + 10 results in 26.55
Problem 5
- Expressions equivalent to x^8 are (x^4)^2 and x^3 * x^5
Problem 6
- Simplifying the expression (1/4 * x^5) * (4/7 * x^3) results in 1/7 * x^8
Problem 7
- Simplifying (-5q^3r^-5s)^2 results in 25q^6r^-10s^2
Problem 8
- The value of p for which (x^2)^p / (x^4)^-10 is equivalent to x^50 is p = 45
Problem 9
- Simplifying (2x^4y^3 / 8xy^-5)^-2 results in 16 / (x^6y^16)
Problem 10
- The volume given the image is: 180x^3y^10
Problem 11
- 2√15 is the simplified form of √60
Problem 12
- The simplified form of √270 is 3√30
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