The rational expression {-3x^3 + 5x + 2} / {x^2 - 1} can be rewritten as {3x + 2} / {x + 2}. (8ab^(-3)c^0)/(10a^(-5)b^(-4)c^(-1)). 2x + 25 b. {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. Describe and correct the error. If x represents the number of women, write an expression for the number of men. Simplify the following expression: \frac{\frac{2}{3} + \frac{1}{x 4}}{1 \frac{2}{3x 12}} . Divide: \frac{(a^3 - 14a + 15 )}{(a - 3)} = \boxed{\space}, Divide: \frac{( 2x^3 - 3x^2 + 8)}{(x + 2)} = \boxed{\space}, Simplify: \frac{2x}{x - 1} - \frac{1}{x^2 - 1}, Find all real solutions. Forming Expressions Practice Questions Click here for Questions . Earn Transferable Credit & Get your Degree. Evaluate the given expression {{\left( {{3^{1.2}}} \right)\left( {{3^{2.7}}} \right)} \over {{3^{4.1}}}}. \frac{\frac{q}{q^2 + q - 20}}{\frac{1}{q + 5}} = \boxed{\space}. To find the value of an expression, we substitute the values of the variables in the expression and then simplify. Algebraic Expression. 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}. The third month witnessed three times as many visits as the second month. \dfrac{1}{1 - \dfrac{1}{2 - \dfrac{1}{3 - \dfrac{1}{4}}}}, Solve h(x) = \frac{2x - 5x^2}{4x^3 + 3x}, Simplify the expression. The hotel charge before tax in the second city was $1000 higher than in the first. x^2 + 4 x + 13 = 0. -27^{-\frac{4}{3}}, Perform the indicated operations on the rational expressions and simplify your answer. \dfrac{(2x^2y^{-1})^{-4}}{(x^3y^3z^3)^{-4}}, Simplify the expression below. All material on this website is for reference purposes only and does not represent the actual format, pattern from respective official authority. Algebra basics. Perform the indicated operations and simplify the expression. What is 1 / ({-6 + 1} / l}) over {l + 7} / {42} ? Write with positive exponents. \frac{(x^{5}y^{6})^{1/6}}{(x^{-5}y^{-3})^{-1/3}}, Write with positive exponents. ), Collect like terms. Suppose that A = D + E and that D/A = 0.24. The algebraic identities and expressions questions given here include different short answer type and long answer type questions. Factors may be numerical as well as algebraic (literal). 8x - 4 - 3x + 1. Simplify the expression. \frac{x^2 - 43}{x^2 - 4x - 5} = \frac{5}{x + 1} - \frac{3}{ x - 5}. Simplify the rational expression. (a) The solution set is [{Blank}]. Write your final answer without negative exponents. (8.3x - 2.9) - (9.6x - 4.8), Simplify the expression. \displaystyle\frac{\frac{r+2s}{20}}{\frac{8r+16s}{5}}, Complete the following operations: a) \frac{y^6}{y^{-7}}\\, Simplify. (-2x^3 + 7x^2 + 15x)/(x^2 - 8x + 15), ((-x)(2x + 3))/(x + 3), Simplify the following expression with the explanation of each step: Fourth root of {81 x^5 y^4} * Fourth root of {32 x^3} y, Simplify: 1) Square root of (4 / 3) - Square root of (3 / 4) a) 2 - {Square root of (3)} / {2 * Square root of (3)} b) Square root of {1 / 12} c) Square root of (3) / 6 d) 2 / Square root of (3), Perform the following operation and simplify: [(25 - a^2)/(9(a^2) - 6a + 1)] / [(4a - 20)/(3a - 1)]. x = -1 \\d. {5 a} / {4 b}. \frac {x^2+ x-6}{x^2 + 2x -8}, Simplify. \frac{5t-25}{t^2-25}. a. The tax in the first city was 6.5%, and the tax in the second city... Write the following as an algebraic expression the simplify. Cell Phone Charges For a cell phone plan that charges a monthly fee of $10 plus $0.10 for each minute used, you can use the equation C = 10 + 0.10m to calculate the monthly charges for using m minutes. Go ahead and submit it to our experts to be answered. Short Answer Type Questions: 1. Simplify: 4/(3x + 9) + 2/3 divided by 2x/(x + 3) + 3/2. {{9{a^2} + 24ab + 16{b^2}} \over {9{a^2} - 16{b^2}}}. a. Solve. Do not factor. Solve for u. Simplify expression. 0. Label the given expression as true or false. \frac{4x}{2x^{2} + 8x + 6} - \frac{3x}{3x^{2} + 9x + 6}, Simplify and eliminate negative exponents. Write as a single fraction. Combine the algebraic expressions as indicated and simplify:(x^3+3)^2-(x-3) (x^2+3x+9). Using suitable algebraic identity, solve 1092 2. \frac{b^4 + 2b^3 + b^2}{b + 1} \\3. (4a^2 - 2a + 15) + (a^2 + 3a - 11), Add and simplify. Andrew factored the expression 28x - 6x - 10x as 2x(14x - 3x - 5x). 1) f(x) = 2 x^3 * 3 x^2 + {12 x^5} / {(2 x^2)^3} 2) f(x) = (2x^3 + 4 square root of {x}) (3x^3 - square root of {x}). Write the answer using positive exponents. Solve for x : \frac{1}{5}x + \frac{1}{4} = 3 \left(\frac{3}{4}x + 2 \right) . (6y^2 - 7y - 3) - (2y^2 - 9y - 7), Solve: \frac{3}{5}(5x - 10) = \frac{2}{3}(9x + 3) Select one: a. x = \frac{-8}{3} \\b. Write with positive exponents. ), Simplify algebraic expression 11(6a*3b)-(-48a-30b), Simplify the below term. The coefficient is the numerical factor in a term. Write the rational expression in lowest term. Use the variable n to represent the unknown number. Find two consecutive odd integers such that twice times the greater is 17 more than the lesser. Solve for D/E. \frac{3}{8}(\frac{16}{9} + \frac{32}{27}z - \frac{40}{9}), Simplify the expression. \frac{8x^{2} + 10x - 3}{2x^{2} - 7x - 15}. {8 x^{-4} y^5 z^{-7}} / {4 x^6 y^{-9}} Write your answer using only positive exponents. All rights reserved. (x + 5 )(x^2 - x + 7), Simplify this expression. (18a^3 b^2 - 9a^2 b - 27ab^2) divided by 9ab. \dfrac{3}{8} - \left(- \dfrac{5}{4} \right), Simplify: \frac{-(4y)\pm \sqrt{(4y)^2-4(-9)(3y^2+1)}}{2(-9)}. Test your understanding with practice problems and step-by-step solutions. Simplify: \frac{3x + 12}{2x - 8} \div \frac{(x - 4)^2}{(x - 4)^2}, Simplify: \frac{4x^2 + 9x - 2}{x^2 + x - 2} \cdot \frac{x^2 - 1}{3x^2 + x - 2}. x^{-4} \bullet x^{-7}, Use the properties of exponents to simplify each expression. A website received 9,347 visits during the first month of its launch. \frac{5}{6}(\frac{3}{5}x + 12y) - \frac{1}{4}(2x - 12y) a. The simplified expression should have no negative exponents. (\frac{4x^5y^{-2}}{3x^{-4}})^4, Solve for the variable in the following equation. Expressions are made up of terms. Solve the equation with rational exponents. All other trademarks and copyrights are the property of their respective owners. Simplify the complex rational expression. Your answer should contain only positive exponents. 9^{1/4} + 9^{ 3/4}, Subtract and simplify. Access the answers to hundreds of Algebraic expression questions that are explained in a way that's easy for you to understand. Fill in the blanks. In a hurry? 3(4 + 3(6 - 4)), Divide. State the name of the property illustrated: (6 + 3) + (1 + 16) = (1 + 16) + (6 + 3). square root{80 b^2} - b square root{125}, Simplify. Worksheet (3). Find an equation to represent the current salary after x years of employment if the starting salary is $14,000 with annual increases of $2000. Write the answer as a fraction in simplest form. Simplify : (6x^3 + 5x^2 - 6x)/(4x^3 + 4x^2 - 3x). b. Worksheet (2). State any restrictions on the variable. Nested fractions Get 3 of 4 questions to level up!

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