State the name of the property illustrated: (6 + 3) + (1 + 16) = (1 + 16) + (6 + 3). Write in exponential notation, simplifying if possible, leaving no negative exponents: square root {y^5}, What is the quotient in the simplified form? 1.\ \dfrac{4m + 14}{10} \div \dfrac{3m + 12}{18} 2.\ \dfrac{6 + \dfrac{2}{r}}{\dfrac{3y + 1}{4}}, Simplify each expression. Nested fractions (Opens a modal) Practice. Algebra basics. Simplify. Translate the following phrase into an algebraic expression using the variable m. Do not simplify. 12s^{2} - 5st + 24t^{2} + 10s^{2} - 2t^{2} + 60st + 10t^{2}, Divide the Fraction: \frac{\frac{3xy + x}{y^2 - y}}{\frac{3y + 1}{xy}}, Divide: \frac{(X^3 - 2X^2 + 4X - 5)}{(X + 3)} = \boxed{\space}. Simplify the following expression: -2(y + 3) + 8y. Go ahead and submit it to our experts to be answered. ), Simplify algebraic expression 11(6a*3b)-(-48a-30b), Simplify the below term. Todd and Shantel are 290 feet apart when they start walking toward one another. Worksheet (5). Simplify an expression by combining like terms. 7(y - 3) - 4(y + 2) = 3(y - 7), Add \left ( \frac{1}{4}x^4 +\frac{6}{7}x^3+\frac{7}{8}x^2+3 \right )+\left ( -\frac{3}{4}x^4+\frac{1}{8}x^2-3 \right ) = _____. Perform the following additions and/or subtractions: (4x^2 + x + 10) + (10x^2 + 9x + 11 ). \dfrac{(2x^2y^{-1})^{-4}}{(x^3y^3z^3)^{-4}}, Simplify the expression below. {2 x (x + 6)^4 - x^2 (4) (x + 6)^3} / {(x + 6)^8}. Simplify the following: \frac{(x - 3)( x^2 + xy - 30y^2)} { x^2 + 3xy - 18y^2 }\\ \frac{(3a^3b^2)( 4a^2 + 2ab + b^2)}{ 8a^3 - b^3-12ab^4 }\\, Solve: \frac{14x -3 y^{-4}} { 2x-5 y ^{-2}}, Simplify: \frac{-2a^3+6ab^3-12a^3}{-24ab}. Then simplify. Factors may be numerical as well as algebraic (literal). Simplify: (\frac{18a^2b}{24a^2b^4})^{-2}. Seven less than 3 times a number is nine. \frac{x^{3} - x + 3}{x - 4} (Simplify your answer. Perform the indicated operations and reduce: Solve the following equation: \frac{7x + 27}{6} = \frac{4x + 6}{5}, Solve the following equation. Perform the operations and simplify. \dfrac{n^4 - 11n^2 + 30}{n^4 - 7n^2 + 10}, Simplify. Perform the indicated operation and express in lowest terms. \frac{b^4 + 2b^3 + b^2}{b + 1} \\3. \frac{4p - 4}{p} + \frac{5p - 5}{4p^{2}}, Express the rational expression in lowest terms. \frac {x^2 + 2x - 3}{x-5} * \frac {x - 3}{x - 1}, Simplify to lowest terms \frac{10m^4}{12m^5}, Simplify. Simplify the following expression: \frac{\frac{2}{3} + \frac{1}{x 4}}{1 \frac{2}{3x 12}} . Can't find the question you're looking for? Simplify : (6x^3 + 5x^2 - 6x)/(4x^3 + 4x^2 - 3x). Write the rational expression in lowest term. It should be noted that the basic concepts of algebraic identities are required to solve most of the questions. (7(7x - 6)^(1/3) - (x - 1)(7x - 6)^(-2/3))/((7x - 6)^(2/3)). \frac{2a - 3}{2}, Write the rational expression in lowest terms. \frac{6x^2 - 54}{21x + 63}, Simplify: \frac{(\frac{3x - 6}{x^2 + 2x - 3})}{(\frac{x - 2}{x^2 + 5x + 6})}, Simplify: (\frac{x^{-3}y^2}{x^{-4}y^{-3}}), Simplify the following showing your steps: cos^4( theta) - sin^4( theta), Solve the following equation for u: 2u - 11 = 3, Write the rational expression in lowest terms. {3 n^{-5} z^7} / {n^{-8} z^9}, Simplify: \frac{(4 - x^2)}{(3x^2 - x - 10)} \cdot \frac{(6x)}{(8x + 16)}, Simplify the expression. \frac{4 + \frac{2}{x}}{\frac{x}{4} + \frac{1}{8}} A) 16 B) 1 C) \frac{16}{x} D) \frac{x}{16}, Divide and simplify to the lowest term. {x^2} / {2 y}. \frac{(-2)^2}{4^3.2^5}\\ \frac{(-2)^2}{(2^2)^3.2^5}\\ \frac{(-2)^2}{2^6.2^5}\\ \frac{(-2)^2}{2^{11}}\\ \frac{1}{2^2.2^{11}}\\ \frac{1}{2^{13}}. A theater group made appearances in two cities. Simplify if possible. If x represents the budget for education, in billions of dollar... Simplify: (4^{-3} \times 4^2)^{\frac{-3}{2}}. (\frac{4x^5y^{-2}}{3x^{-4}})^4, Solve for the variable in the following equation. © 2020 | All Rights Reserved Solution: Add and simplify: 4 / {m + 2} + 2 / {m - 2} Choose one answer. Do not factor. To find the value of an expression, we substitute the values of the variables in the expression and then simplify. The hotel charge before tax in the second city was \$1000 higher than in the first. Earn Transferable Credit & Get your Degree. Simplify: (2x - 4)/(6x) times (4x^2)/(8x - 16). Evaluate (x^2 - 4y^2)/(5 - y^2) if x = 2, y = -3. b. 1 / {3 a} - 3 / 8 + 1 / {6 a} - 3 / 4, Simplify: \frac{x^{2} + 2x - 15}{x^{3} - 3x^{2} + x - 3}.