# algebraic expressions questions

{6 m - 4} / {(m + 2) (m -2)}. Simplify: {10 a^2} / {7 b^2} divided by {25 a^3} / {14 b^3} Choose one answer. Look at the following simplification of an algebraic expression. Simplify the expression: \frac{\sqrt{8m^2n^3} \cdot \sqrt{2m^2}}{\sqrt{32m^4n^3}} . \frac{8}{5x^{-2/3}}, Add. Solve the equation with rational exponents. Simplify the given expression and write as a single fraction. Write with positive exponents. Simplify the expression, if possible. \frac{(x^{5}y^{6})^{1/6}}{(x^{-5}y^{-3})^{-1/3}}, Write with positive exponents. \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. Assume that all variables represent positive real numbers. (8x^{6} + 5x^{4} - x^{3} + 3x) + (-x^{6} + 8x^{3} - 4x^{2} + 7x^{4}). How many games did they lose? (8ab^(-3)c^0)/(10a^(-5)b^(-4)c^(-1)). Worksheet (4). Write answer as integers or reduced fractions. Use radical notation to rewrite the expression and evaluate. Solve and simplify: \frac{\frac{4x^2a}{y^2}+\frac{1}{a^2}}{2-\frac{2}{y^2a^2}}. Each engine assembly uses 8 of these bolts and each transmission needs 9 bolts. {{9{a^2} + 24ab + 16{b^2}} \over {9{a^2} - 16{b^2}}}. Algebraic Expression. Access the answers to hundreds of Algebraic expression questions that are explained in a way that's easy for you to understand. \frac{4p - 4}{p} + \frac{5p - 5}{4p^{2}}, Express the rational expression in lowest terms. Translate the following phrase into an algebraic expression using the variable m. Do not simplify. a. \frac{x^2}{(x^2 - 4)} - \frac{(x + 1)}{(x + 2)}, Write the rational expression in lowest term. Simplify the expression y^2 + 9y + 20 / y^2 + 12y + 32. Simplify and state the restrictions. Write the answer as a fraction in simplest form. Evaluate the given expression {{\left( {{3^{1.2}}} \right)\left( {{3^{2.7}}} \right)} \over {{3^{4.1}}}}. Get help with your Algebraic expression homework. -27^{-\frac{4}{3}}, Perform the indicated operations on the rational expressions and simplify your answer. Simplify the following expression. Write with positive exponents. The third month witnessed three times as many visits as the second month. Expressions are made up of terms. Write the expression with rational exponents, and then apply the properties of exponents. (-5x^2 - 8) + (2x^2 - 3), Add and simplify. 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)}. Using suitable algebraic identity, solve 1092 2. Simplify. {{4 x - 3 y} / {16 x^2 + 24 y + 9y^2}} / {1 / {(4 x + 3 y)^2}}, Evaluate the following: 2 + 3 = \boxed{\space}. Algebraic Expressions Practice Test Questions Answers: An algebraic expression is formed from variables and constants using different operations. 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. Translate this phrase into an algebraic expression. 9^{1/4} + 9^{ 3/4}, Subtract and simplify. \dfrac{n^4 - 11n^2 + 30}{n^4 - 7n^2 + 10}, Simplify. Practice Questions; Post navigation. Browse our pre-made printable worksheets library with a variety of activities and quizzes for all K-12 levels. \frac{z^{\frac{5}{4}} - z^{\frac{-1}{4}}}{z^{\frac{1}{3}}} Write your answer using only positive exponents. (18a^3 b^2 - 9a^2 b - 27ab^2) divided by 9ab. Use the distributive property to simplify: {30 x^2 y^2 + 55 x y} / {5 x y}. Unit: Algebraic expressions. Label the given expression as true or false. If one account contains x dollars, express the amount in the second account in terms of x. Simplify it: \Big (\frac{-81 x^8 y^5}{9 x^6 y^8}\Big)^{-2}, Evaluate the following. Write the rational expression in lowest term. \dfrac{4a^5}{7b^4} \cdot \dfrac{2b^2}{2a^4}, Simplify the rational expression. Simplify the expression: 9(6yx + 10) - (6yx - 5). Then simplify. Put the functions into "polynomial like" form and state the domain. \frac{32a^4b^{-2}}{2a^3b^3} \cdot \frac{3a^2b^7}{-2a}, Simplify the expression. b. Perform the indicated operation and express in lowest terms. Algebraic Expressions questions for your custom printable tests and worksheets. Simplify: 5/(a^2 - 4a + 3) divided by (3/(a - 3) + 4/(a - 1)). \frac{8x^{2} + 10x - 3}{2x^{2} - 7x - 15}. Simplify: (a) \frac{c^3 - c}{c + 1} \\(b) \frac{z^4 - 4z^2}{z - 2}, Simplify: 1. Simplify completely: \frac{\left(x^3y^3\right)^4 \left(xy^4 \right)^{ 3}}{x^3y^4} . (7x + 9) - (4x - 3), Add and simplify. \frac{b^3 + b^2}{b + 1} \\2. \frac{11}{10}(22z). \frac {6x + 21}{8x + 28}, Write the rational expression in lowest term. Access the answers to hundreds of Algebraic expression questions that are explained in a way that's easy for you to understand. Do any mu... Simplify the following. - \sqrt{\dfrac{z^8}{8x^9}}. State which property of exponents justifies each step of the simplification below. Solve for x : \frac{1}{5}x + \frac{1}{4} = 3 \left(\frac{3}{4}x + 2 \right) . At a recent motor rally, the number of men exceeded the number of women by 216. \frac{12m^{2} - 3}{8m - 4}, Solve the equation. (4x^{2} + 2x) + (x^{2} + 6x), Simplify the following: \frac{\frac{7y - 7}{x}}{\frac{14}{x^2 + x}}. Algebraic Expressions Practice Test Questions Answers: An algebraic expression is formed from variables and constants using different operations. Simplify: (y^2 + 9y + 8)/(y^3 + 6y^2 - 16y). Do not factor. {x^2} / {2 y}. What is 1 / ({-6 + 1} / l}) over {l + 7} / {42} ? Simplify the expression. 1 / {3 a} - 3 / 8 + 1 / {6 a} - 3 / 4, Simplify: \frac{x^{2} + 2x - 15}{x^{3} - 3x^{2} + x - 3}. 64^{-\frac{4}{3}} a.\ \dfrac{1}{256}\\ b.\ \dfrac{1}{(\sqrt{64})^4}\\ c.\ \sqrt{64^{-4}}\\ d.\ -256, Simplify. \frac{5}{6}(\frac{3}{5}x + 12y) - \frac{1}{4}(2x - 12y) a. Express your answer as an integer. {p^{1 / 7} p^{9 / {14}} p^{1 / 2}} / {(p^{26})^{-1 / 7}}, Simplify the expression. \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}}. \left ( \frac{4y^{3}z^{\frac{2}{3}}}{x^{\frac{1}{2}}} \right) \left ( \frac{x^{-3}y^{6}8}{8z^{4}} \right )^{\frac{1}{3}}. \frac{-9r^2 - 6rs - s^2}{s^2 - 9r^2} = \boxed{\space}, Perform the indicated operation and simplify your answer. Use the variable n to represent the unknown number. {2 x (x + 6)^4 - x^2 (4) (x + 6)^3} / {(x + 6)^8}. Perform the operations and simplify. Fill in the blanks. The simplified expression should have no negative exponents. {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. {4 - 5i} / {i (6 - 4i)}, Simplify the expression. \frac{2}{3}z + 3 = 7. a. Assume all variables represent positive real numbers. A website received 9,347 visits during the first month of its launch. x = 3, Factor and simplify the given expression: (x + 5)^{\frac{1}{3}} - (x + 5)^{\frac{4}{3}}. \frac{3q^2 + 3q}{24q^2 + 9q} The simplified form is \boxed{\space}. Simplify -2x - (3 - 4(4-3x)) + 6x. Solution: The hotel charge before tax in the second city was \$1000 higher than in the first. But when Melissa applied the distributive law and multiplied out 2x(14x - 3x - 5x), she got 28x - 6x - 10x ; thus, Andrew's solut... Simplify the expression \frac{5ab}{10ab}. Let x represent the unknown number. algebraic. Simplify: \frac{x^2 - 5x + 6}{x^2 - x - 2} \cdot \frac{x^3 + 27}{x^2 - 9}. Sometimes, any factor in a term is called the coefficient of the remaining part of the term. A manufacturer purchased 7,756,658 identical bolts. The algebraic identities and expressions questions given here include different short answer type and long answer type questions. \bigg(\frac{4p^{-3}q}{3^{-1}m^3}\bigg) ^2, Simplify: \displaystyle \frac{\frac{\frac{2}{b + 2}}{1}}{\frac{b - 2 + 1}{b^2 - 4}}, Write the expression with rational exponents 6\sqrt{(-8x)^5}, Write the rational expression in lowest terms. Write with positive exponents. An algebraic expression is a combination of letters called _____ and real numbers called _____. The actual exam may differ from our materials. To find the value of an expression, we substitute the values of the variables in the expression and then simplify. Simplify the expression. Simplify the following. Andrew factored the expression 28x - 6x - 10x as 2x(14x - 3x - 5x). 5(2x - 4) + 3(-3x + 7), Simplify the following expression, show your work: 3(x + 3)^{2}, Add the polynomials using the horizontal method. a. Factors may be numerical as well as algebraic (literal). x 2 + 5 x + 6 x 2 + 7 x + 12 x 2 + 5 x + 4 x 2 + 3 x + 2, Simplify completely: (\sqrt{2} + \sqrt{8})^2. Sciences, Culinary Arts and Personal Describe and correct the error. (5x - 5)/(10x^2 - 25x + 15). Seven less than 3 times a number is nine. x^{-4} \bullet x^{-7}, Use the properties of exponents to simplify each expression. Simplify as much as possible (no negative integers). If false, correct the expression to make it true. x^2 + 4 x + 13 = 0. 2{\parenthesis 3a - (2b - 5a)\parenthesis - 3(2a - b)} Simplify the expression. \dfrac{6x + 6y}{5x} + \dfrac{7x - 5y}{2x} - 7, Use the properties of exponents to simplify the given expression; ({t^{ - 2/3}})({t^{3/4}}), Use the properties of exponents to simplify the given expression; {(8{x^2}{y^3})^{1/3}}, Use the properties of exponents to simplify the given expression; {(27{x^6})^{2/3}}.

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