c. {2 x^2} / y. Divide. To find the value of an expression, we substitute the values of the variables in the expression and then simplify. \frac{y^2-2y-15}{y^2-6y-27}, Simplify: \frac{(543 \times 64) + (\frac{432}{8} + 3)}{4 \times 2}. \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. Simplify the expression. square root{80 b^2} - b square root{125}, Simplify. \frac{x^{3} - x + 3}{x - 4} (Simplify your answer. Translate this phrase into an algebraic expression. (3 - 4*sqrt(2))^2. Simplify the following. 2 more than the quotient of a number and 4 equals 9. Simplify Algebraic Expressions with Exponents Intermediate Algebra Worksheets; Worksheet (1). sqrt(3x^2y^3) / sqrt(5x^3y^2), Simplify. \dfrac{p^{\frac{1}{9}}p^{\frac{11}{18}}p^{\frac{1}{2}}}{(p^{25})^{-\frac{1}{9}}}, Solve for x: \frac{1}{2} + \frac{x}{6} = \frac{18}{x}, Simplify the following expression: (-12x^2 - 4 - 10x^3) - (12x^3 + 1 + 4x^2), Simplify the expression below. Forming Expressions Practice Questions Click here for Questions . 6 xy + 11. b. (x + 5 )(x^2 - x + 7), Simplify this expression. Using suitable algebraic identity, solve 1092 2. Simplify the radical expression: 4\sqrt{(m + 4)^8}. \frac{4p - 4}{p} + \frac{5p - 5}{4p^{2}}, Express the rational expression in lowest terms. (5 x^3 y^{-4})^{-2}. 9x^2 - 4 - 10 x^2 + 10 + 3x, Use the rules of exponents to simplify the expression. Go ahead and submit it to our experts to be answered. Simplify expression. (8x^{6} + 5x^{4} - x^{3} + 3x) + (-x^{6} + 8x^{3} - 4x^{2} + 7x^{4}). \frac {x^2 + 2x - 3}{x-5} * \frac {x - 3}{x - 1}, Simplify to lowest terms \frac{10m^4}{12m^5}, Simplify. Let x represent the unknown number. Simplify the following: 1) \frac {x ^3 y ^{-2}}{x ^{-2}y ^4} = 2x ^{-2} \\ 2) 3x ^4- 6x ^2= (-2x ^3)(-3x ^{-2}) \\ 3) (2x ^2 y ^{-2})^3 =(2x ^{-5} y^4) ^3, Simplify: a - a^2 - a - \frac{6}{2(a-3)}. \frac{14(5 - 10) + 20^{5}}{5(6 - 2)}. 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. How many engine and transmission combinations can be assembled us... Simplify the expression. Represent the following as a difference of squares: (2x^(-3) - (y^3)/7)(2x^(-3) + (y^3)/7). Apply all exponents. Simplify: 1 - (\frac{1 + e^{-x}}{1 - e^{-2x}}), Evaluate (xy)/(x-y) when x = 3, y = -6 a- -2 b- -1 c- 1 d- 2. Seven less than 3 times a number is nine. Suppose that A = D + E and that D/A = 0.24. \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. (7v^2 - 3v - 5) + (4v^2 - 2v + 6), Simplify by not using negative exponents. Should negative exponents appear in the answer, write a second answer using only positive exponents. In a hurry? State any restrictions on the variable. a) x^{4m}x^{3m}\\ b) \frac{m^{6x}}{m^{3x}}\\, Find the difference quotient and simplify your answer. Sometimes, any factor in a term is called the coefficient of the remaining part of the term. \dfrac{n^4 - 11n^2 + 30}{n^4 - 7n^2 + 10}, Simplify. {p^{1 / 7} p^{9 / {14}} p^{1 / 2}} / {(p^{26})^{-1 / 7}}, Simplify the expression. Write as a single fraction. Write each of the following expressions in the form capbq where c, p, q are numbers: a) ((2a2)3)/b b) sqrt(9ab3) c) (a(2/b))/(3/a) d) (ab-a)/b2-b e) a-1/((b-1)sqrt(a)) f) [(a2/3)/(b1/2)]2 * [... Simplify the expression. 9^{1/4} + 9^{ 3/4}, Subtract and simplify. Express in the standard form: (5.2 x 10^(17))/(-1.3 x 10^(-5)). What is the value of a? 18 increased by twice a number. 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}). Previous Expanding Three Brackets Practice Questions. Assume that all variables are positive real numbers. Test your understanding with practice problems and step-by-step solutions. Simplify the expression. All rights reserved. Access the answers to hundreds of Algebraic expression questions that are explained in a way that's easy for you to understand. Here you can get Class 8 Important Questions Maths based on NCERT Text book for Class VIII. Evaluate (x^2 - 4y^2)/(5 - y^2) if x = 2, y = -3. A basketball team played 62 games. \frac{(x^{5}y^{6})^{1/6}}{(x^{-5}y^{-3})^{-1/3}}, Write with positive exponents. Perform the following additions and/or subtractions: (4x^2 + x + 10) + (10x^2 + 9x + 11 ). Translate the following phrase into an algebraic expression using the variable m. Do not simplify. Solve for D/E. Simplify: \frac{x^2 - 5x + 6}{x^2 - x - 2} \cdot \frac{x^3 + 27}{x^2 - 9}. \frac{-2x^{3} + 7x^{2} + 15x}{x^{2} - 8x + 15}, \frac{(-x)(2x + 3)}{x + 3}, Simplify. \frac{a^2 - 9}{a - 3}, Simplify \frac{(x + h)^{-3} - x^{-3}}{h}, Simplify: \frac{6 \times 10^{-6}}{30 \times 10^2}, Simplify: (\frac{8m^{\frac{-3}{4}}}{n^{\frac{3}{8}}})^{\frac{1}{3}}, Divide and simplify. algebraic. How many games did they win? Add similar elements: 7.5x - 2.8 + 2x - 3.5, Simplify the following expression. Assume that all variables represent positive real numbers. Perform the indicated operations and reduce: Solve the following equation: \frac{7x + 27}{6} = \frac{4x + 6}{5}, Solve the following equation. Simplify as much as possible (no negative integers). Simplify: 5x \sqrt{98x^5} \\a.35x^2\sqrt{98x^5} \\b.10x^3\sqrt{7x} \\c.35x^2\sqrt{2x} \\d.5x^3\sqrt{2x} \\e.35x^3\sqrt{2x}, Simplify: \sqrt{75x^7y^6} \\a. 0. (Type a... Express the expression in lowest terms. \frac{-9r^2 - 6rs - s^2}{s^2 - 9r^2} = \boxed{\space}, Perform the indicated operation and simplify your answer. Use the division rule to simplify the following: {3 x^4} / {y^3} divided by {6 x^2} / {y^2} Choose one answer. \frac{-14}{-7} Divide if possible or if undefined, state this. a. (\frac{-2x^3y}{3x^5y^0})^5, Simplify: \frac{(-27) - (3)}{(-15) - (9)}, Simplify: \frac{x^2 + 2x - 63}{x^2 +3x - 70}\times\frac{x^2 -6x -40}{x^2 + 13x + 36}. \frac{x^{10}}{x^3}, Evaluate the expression. Solve the equation with rational exponents. \frac{11}{10}(22z). (18x - 9)/(12x - 6), Evaluate an expression when x = 1, y = 3, z = 5. xy + z, Simplify an expression using Order of Operations. {x^2} / {2 y}. State the excluded values, if any. Simplify the following expression. 6 x^2 y^2 + 11 x y. c. 25 xy + 50. Solution: (7x + 9) - (4x - 3), Add and simplify. Simplify the following expression. All trademarks are property of their respective owners. Expressions are made up of terms. \frac{a^{2} - 8a}{(a + 7)(a - 8)}, Tell whether or not the rational expressions are equivalent. Use only positive exponents. {{9{a^2} + 24ab + 16{b^2}} \over {9{a^2} - 16{b^2}}}. \frac{m^{2} - 11m}{m - 5} + \frac{30}{m - 5}, Perform the indicated operation and express in lowest terms. A theater group made appearances in two cities. Which of the following factors will cancel in the expression shown below? 3x^3y^3\sqrt{5x} \\b. Simplify: {10 a^2} / {7 b^2} divided by {25 a^3} / {14 b^3} Choose one answer. In general, an expression with one or more than one term (with nonnegative integral exponents of the variables) is called a ‘Polynomial’. (72x^9 - 56x^6 + 40x^4) / -8x^3. 3(4t - 1) = -(-9t + 21), Solve for the variable in the following equation. Worksheet (3). (a) The solution set is [{Blank}]. (9x - 12) - (6x + 1), Simplify the following expression: 12x^2-6+5x-8x^2-9, Simplify the given expression.