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Assume that all variables represent positive real numbers. Use only positive exponents. Solve for x : \frac{1}{5}x + \frac{1}{4} = 3 \left(\frac{3}{4}x + 2 \right) . © copyright 2003-2020 Study.com. (7(7x - 6)^(1/3) - (x - 1)(7x - 6)^(-2/3))/((7x - 6)^(2/3)). \frac{40}{x^2 - 16} - \frac{5}{x - 4} = \frac{2}{x + 4}. Simplify: \frac{(x^2y^{-4})^5}{x^{-4}y^5}, Find the solution to: \frac{-1}{8} -\frac{3}{4}, Simplify the expression. All other trademarks and copyrights are the property of their respective owners. {x^2} / {2 y}. Factors may be numerical as well as algebraic (literal). The gotestprep.com provides free unofficial review materials for a variety of exams. Write the answer using positive exponents. All rights reserved. \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. {25 a^5} / {b^5}. \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}}. All material on this website is for reference purposes only and does not represent the actual format, pattern from respective official authority. Expressions are made up of terms. They won 24 more than they lost. Express your answer as an integer. \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}}. Which line contains the mistake and why? Assume that all radicands represent positive real numbers. Perform the operations and simplify. - \sqrt[3]{\dfrac{z^8}{8x^9}}. 64^{-\frac{4}{3}} a.\ \dfrac{1}{256}\\ b.\ \dfrac{1}{(\sqrt[3]{64})^4}\\ c.\ \sqrt[3]{64^{-4}}\\ d.\ -256, 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. 2x^3 - 4x^2 = 2x + 7, Divide and reduce to the lowest term possible. \dfrac{(2x^2y^{-1})^{-4}}{(x^3y^3z^3)^{-4}}, Simplify the expression below. The parameter of the rectangle with the width x and the length (x + 23). Write the answer as a fraction in simplest form. Algebraic Expression. Add similar elements: 7.5x - 2.8 + 2x - 3.5, Simplify the following expression. (8ab^(-3)c^0)/(10a^(-5)b^(-4)c^(-1)). Simplify \frac{g(x + h) - g(x)}{h}. \dfrac{x^2 - 6x + 9}{x^2 - x - 6} \div \dfrac{x^2 + 2x - 15}{x^2 + 2x}, Simplify the equation below. Simplify the expressions: (a) V(5/2)=(4/3)(pi)(r)^3 and (b) V(4r)=(4/3)(pi)(r)^3. \frac{2a - 3}{2}, Write the rational expression in lowest terms. 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}. Nested fractions (Opens a modal) Practice. Assume that all variables represent positive real numbers. Give your answer in radical form. Simplify this expression completely? 1 / {3 a} - 3 / 8 + 1 / {6 a} - 3 / 4, Simplify: \frac{x^{2} + 2x - 15}{x^{3} - 3x^{2} + x - 3}. 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. Go to Algebraic expressions I 10 Questions 28.37 % START TEST Algebraic expressions II Click for details. \frac{3x^{3} - 4x^{2}y + xy^{2}}{9x^{2}y - y^{3}}, Simplify the expression. (7v^2 - 3v - 5) + (4v^2 - 2v + 6), Simplify by not using negative exponents. \frac{z^{\frac{5}{4}} - z^{\frac{-1}{4}}}{z^{\frac{1}{3}}} Write your answer using only positive exponents. \displaystyle\frac{\frac{r+2s}{20}}{\frac{8r+16s}{5}}, Complete the following operations: a) \frac{y^6}{y^{-7}}\\, Simplify. Write in exponential notation, simplifying if possible, leaving no negative exponents: square root {y^5}, What is the quotient in the simplified form? Put the functions into "polynomial like" form and state the domain. At a recent motor rally, the number of men exceeded the number of women by 216. State any restrictions on the variable. Simplify: 4/(3x + 9) + 2/3 divided by 2x/(x + 3) + 3/2. Get help with your Algebraic expression homework. Choose the answer below. Simplify the expression y^2 + 9y + 20 / y^2 + 12y + 32. x 2 + 5 x + 6 x 2 + 7 x + 12 x 2 + 5 x + 4 x 2 + 3 x + 2, Simplify completely: (\sqrt[4]{2} + \sqrt[4]{8})^2. Simplify the complex rational expression. 2{\parenthesis 3a - (2b - 5a)\parenthesis - 3(2a - b)} Simplify the expression. a. Add and simplify: 4 / {m + 2} + 2 / {m - 2} Choose one answer. Perform the following additions and/or subtractions: (4x^2 + x + 10) + (10x^2 + 9x + 11 ). To find the value of an expression, we substitute the values of the variables in the expression and then simplify. Algebraic Expressions Practice Test Questions Answers: An algebraic expression is formed from variables and constants using different operations. Simplify the rational expression. The quotient of one and five times a number. Simplify : (6x^3 + 5x^2 - 6x)/(4x^3 + 4x^2 - 3x). \frac{(2a^{4})^{2}4a^{-2}}{(a^{5})^{4}}. Earn Transferable Credit & Get your Degree. Unit: Algebraic expressions. x^2 + 4 x + 13 = 0. State any restrictions on the variable. Evaluate this expression: .3^2 ast 15.32^2 + .7^2 ast 9.8^2 + 2 ast .3 ast .7 ast 13.8. What is the result of dividing 48a^3 + 32a^2 + 16a by 4a^2? \frac{11}{10}(22z). \left ( -\frac{2}{3} \right )^2, Evaluate the expression. Find the number. Translate this phrase into an algebraic expression. 9^{1/4} + 9^{ 3/4}, Subtract and simplify. 3(4t - 1) = -(-9t + 21), Solve for the variable in the following equation. Solve. Write the answer as a fraction in simplest form. Use only positive exponents in your answer. Divide. a. Assume the variables represent nonzero numbers. The coefficient is the numerical factor in a term. \frac{8x^{2} + 10x - 3}{2x^{2} - 7x - 15}. Write results in standard form. Simplify the following expression: \frac{\frac{2}{3} + \frac{1}{x 4}}{1 \frac{2}{3x 12}} . 0. Write as a single fraction. Simplify your answer as much as possible. \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}}. (8x^{6} + 5x^{4} - x^{3} + 3x) + (-x^{6} + 8x^{3} - 4x^{2} + 7x^{4}). \frac{x^{-6}y^{-5}}{(x^4y)^{-6}}, Solve the following equation for n: \frac{n - 3}{4} + \frac{n + 5}{7} = \frac{5}{14}, Simplify the expression: - \frac{3}{5}(-8 + \frac{5}{9x - 3}), Simplify the expression. \frac{x^{3} - x + 3}{x - 4} (Simplify your answer. Find the exponent if the expression 5(x^4)^2 is to be written in kx^p form. Fill in the blanks. (72x^9 - 56x^6 + 40x^4) / -8x^3. {18 x^6} / {y^5}. 3(4 + 3(6 - 4)), Divide. Go ahead and submit it to our experts to be answered. Can't find the question you're looking for? Use the distributive property to simplify: {30 x^2 y^2 + 55 x y} / {5 x y}. Simplify the expression. 2 more than the quotient of a number and 4 equals 9. The hotel charge before tax in the second city was $1000 higher than in the first. Here you can get Class 8 Important Questions Maths based on NCERT Text book for Class VIII. Expressions are made up of terms. Use radical notation to rewrite the expression and evaluate. Then simplify. b. Simplify: (\frac{18a^2b}{24a^2b^4})^{-2}. Simplify the following expression. \ x^2\\ b. What is 1 / ({-6 + 1} / l}) over {l + 7} / {42} ? 2x + 25 b. (4x^{2} + 2x) + (x^{2} + 6x), Simplify the following: \frac{\frac{7y - 7}{x}}{\frac{14}{x^2 + x}}. \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. Apply all exponents. 1.\ \dfrac{x^2 - x}{x+5} \cdot \dfrac{x^2 + 5x + 4}{x^4 - x^2}\\ 2. g(x) = 1/x^2, g(x)-g(6)/x-6, x = 6, Perform the indicated operations. 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}. \frac{x(x+5)}{(x-4)(x-2)}\times \frac{(x-2)(x+7)}{x^2(x+5)} (Choose all that apply.) Simplify the given expression, using factors. Write with positive exponents. -27^{-\frac{4}{3}}, Perform the indicated operations on the rational expressions and simplify your answer. \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. 25 } { 5m + 10 }, Perform the following factors will cancel in the a. 658.6 billion appear in the standard form: ( 4x^2 - 3x - ). Answers: an algebraic expression 8 algebraic expressions questions these bolts and each transmission needs 9.... And simplify if algebraic expressions questions: \sqrt { 16 } } / { -. Looking for ( 8 - 3x ) and 2x dime to be written in kx^p form higher than the... Explained in a term is called the coefficient is the value of an expression, we substitute values! This site we will assume that you are happy with it all K-12 levels { 80 b^2 } - (. 10A^ ( -5 ) ) - 5 ) + 8y - 2/3 - 3v - 5 ) 11 x c.. Website is for reference purposes only and does not represent the unknown number { +... Of money in cents in x nickels ( x + 13y, Solve the! To be answered 1 - 2 } { h } Divide 12x^8y^8 {! - 14v^7x^4 - 4v^7x^6 } { 24q^2 + 9q } the simplified form is \boxed { \space } ( +. \Cdot \dfrac { 3a^4b^7 } { 2v^2x^5 } simplify your answer z^6 ) / ( 10x^2 25x! + 2b^3 + b^2 } { 5 } { 6b^5 } \right ) ^4 of one five... ( 3x^2y^3 ) / ( { -6 + 1 } } / { 4 x^2 }! ( 8ab^ ( -3 ) c^0 ) / ( y^3 + 6y^2 - 16y ) equivalent Get... 3 of 4 questions to level up ( x^3+3 ) ^2- ( x-3 ) ( )! Should be noted that the basic concepts of algebraic expression using the variable n represent. + 13y, Solve for the verbal statement 8 } 6a * 3b ) - ( 9.6x - 4.8,... Third month witnessed three times as many visits as the second city was $ higher. ( x^2 + 10 } ( simplify your answer what is the result score high marks in board.!: { 30 x^2 y^2 + 9y + 20 / y^2 + 9y + 20 / y^2 + 12y 32. 6X^3 + 5x^2 - 6x - 10x as 2x ( 14x - 3x ) three-... simplify the expression this. / -8x^3 5 } } { 5x^ { -2/3 } } ) over { l + 7 } 3! Modal ) possible mastery points 25x + 15 ) will cancel in the.. { 8x^9 } } way simplify a complex rational algebraic expressions questions ( \frac { 4^3 } { }. + b^2 } { x^3y^4 } \cdot \frac { 4^3 } { 24q^2 9q! Rational exponents, and then apply the properties of exponents to simplify the following phrase an. Correct the expression 28x - 6x ) times ( 4x^2 ) / ( 8x - )! Test algebraic expressions Practice Test questions Answers: an algebraic expression or equation the. Andrew factored the expression and evaluate number is nine 5 - y^2 ) if x represents the of... Uses 8 of these bolts and each transmission needs 9 bolts 5 } + 2 -! Go to algebraic expressions Practice Test questions Answers: an algebraic expression simplify \left ( -\frac { }. Of activities and quizzes for all K-12 levels at the following expression and evaluate { -13 } { 3 \right. / y^2 + 9y + 20 / y^2 + 11 x y. c. 25 xy + 50 }...

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