Write the following as an algebraic expression. Explain with examples. \frac{x^2 - 43}{x^2 - 4x - 5} = \frac{5}{x + 1} - \frac{3}{ x - 5}. linear inequalities. Write your final answer without negative exponents. Algebraic Expressions Practice Test Questions Answers: An algebraic expression is formed from variables and constants using different operations. Expressions are made up of terms. Simplify the following rational expression: \frac{(y^2 - 4z^2)}{(-2z^2 - 3yz - y^2)}, Simplify the rational expression. The worksheets can be made either as PDF or html files (the latter are editable in a word processor). Simplify the expression. Simplify the following expression. Write the expression with rational exponents, and then apply the properties of exponents. Access the answers to hundreds of Algebraic expression questions that are explained in a way that's easy for you to understand. To find the value of an expression, we substitute the values of the variables in the expression and then simplify. Write results in standard form. G = 2w^2 - 10w^2, Reduce, if possible, the following expression. Todd and Shantel are 290 feet apart when they start walking toward one another. (x + 5 )(x^2 - x + 7), Simplify this expression. \frac{10v^2x^5 - 14v^7x^4 - 4v^7x^6}{2v^2x^5} Simplify your answer as much as possible. Browse through all study tools. Fractions and Decimals Practice Test 2 Question Answers, Algebraic Expressions Test 2 – Question Answers, TABE Applied Math Practice Test 2 (Sample Question Level A), TABE Applied Math Practice Test (40 Questions Answers), TABE Math Practice Test 2 (Question Answers Online Quiz), TABE Math Practice Test 2020 (Level D- Part 1), Massage Therapy License Exam & Certification. (8x^{6} + 5x^{4} - x^{3} + 3x) + (-x^{6} + 8x^{3} - 4x^{2} + 7x^{4}). x = \frac{-13}{3} \\c. \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. Go ahead and submit it to our experts to be answered. \left ( -\frac{2}{3} \right )^2, Evaluate the expression. Writing basic algebraic expressions word problems. The simplified expression should have no negative exponents. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 7 Maths Chapter 12 Algebraic Expressions Objective Questions. Example: The sum of x and y… Read More » We will be using the signs of arithmetic operation to frame expressions. 7(2x + 5) - 4(x + 2) - 20x. \frac{b^4 + 2b^3 + b^2}{b + 1} \\3. Expressions are made up of terms. Express your answer as an integer. \left (\frac{(ab)^{-4}}{a^3b^{-2}} \right )^5, Simplify and if not possible, state so. Translate this phrase into an algebraic expression. Assume that all variables are positive real numbers. Simplify the following expression. Simplify this expression completely? Factor the algebraic expression (x - 1) 2 - (y - 2) 2. \frac{40}{x^2 - 16} - \frac{5}{x - 4} = \frac{2}{x + 4}. \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. All rights reserved. Algebraic Expressions – examples of problems with solutions for secondary schools and universities. Simplify your answer as much as possible. Assume that all variables represent positive real numbers. At a recent motor rally, the number of men exceeded the number of women by 216. Use the division rule to simplify the following: {3 x^4} / {y^3} divided by {6 x^2} / {y^2} Choose one answer. Students can download the Algebraic Expressions and Identities Class 8 MCQs Questions with Answers from here and test their problem-solving skills. Describe and correct the error. Write the rational expression in lowest term. Simplify an expression by combining like terms. Use the variable n to represent the unknown number. The rational expression {-3x^3 + 5x + 2} / {x^2 - 1} can be rewritten as {3x + 2} / {x + 2}. Sum of all three digit numbers divisible by 8. b. F = -9t \times 2 - (-t^2) - t \times 3t, Reduce the following expression. 64^{-\frac{4}{3}} a.\ \dfrac{1}{256}\\ b.\ \dfrac{1}{(\sqrt[3]{64})^4}\\ c.\ \sqrt[3]{64^{-4}}\\ d.\ -256, Simplify. \frac{12m^{2} - 3}{8m - 4}, Solve the equation. Factor the algebraic expression 6x 2 - 21 x y + 8 x z - 28 y z. Simplify: 4/(3x + 9) + 2/3 divided by 2x/(x + 3) + 3/2. \frac {x^2+ x-6}{x^2 + 2x -8}, Simplify. Class 1; Class 2; Class 3; Class 4; Class 5 ; Class 6; Class 7; Class 8; Class 9; Class 10; Competitive Exams. C = -4m^2 - (-5m) + 4m^2 - 9 - 4 + 6m, Reduce the following expression. Add similar elements: 7.5x - 2.8 + 2x - 3.5, Simplify the following expression. 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. Evaluate (simplify): [(3a^2)/b^3]^2[(-2a)/(3b)]^3. Explain. -27^{-\frac{4}{3}}, Perform the indicated operations on the rational expressions and simplify your answer. g(x) = 1/x^2, g(x)-g(6)/x-6, x = 6, Perform the indicated operations. Assume that all variables represent positive real numbers. E = 5w^2 \times 7. 9x^2 - 4 - 10 x^2 + 10 + 3x, Use the rules of exponents to simplify the expression. The parameter of the rectangle with the width x and the length (x + 23). {18 x^6} / {y^5}. A = -7 + 8m - (-10m^2) + 5 - (-10m) + 8m^2, Reduce the following expression. Problem 5: 3 + x + x + x – 4. C = -8k \times (-7k), Reduce, if possible, the following expression. \frac{-7}{4x} + \frac{1}{4} = -12, Perform the division: \frac{(2x^5 + 3x^4 - 7x^3 + x^2 - x + 46)}{(x + 3)}, Solve: \frac{4x^3 - 3x - 1}{2x^2 + 3x + 2}, Create an account to browse all assets today, Algebraic Expression Questions and Answers, To learn more about the information we collect, how we use it and your choices visit our, Biological and Biomedical Then the concept of how expressions are formed and terms of an expression are explained.Under this, the factors of a term and coefficients are discussed in detail. (\frac{3v}{v^2 + 5v - 14}) - (\frac{4}{v^2 + 4v - 21}) + (\frac{3}{v^2 - 5v + 6}), Simplify: \frac{1}{4}b - \frac{1}{3} + \frac{5}{6}b - \frac{1}{5} (Use integers or fraction for any numbers in the expression. ), Collect like terms. © copyright 2003-2021 Study.com. Represent the following as a difference of squares: (2x^(-3) - (y^3)/7)(2x^(-3) + (y^3)/7). Translate the following phrase into an algebraic expression using the variable m. Do not simplify. sk | cz | Search, eg. 4n + 0 = 4n a. Multiplicative Inverse Property b. (a) The solution set is [{Blank}]. © 2020 | All Rights Reserved What is 1 / ({-6 + 1} / l}) over {l + 7} / {42} ? a) x^{4m}x^{3m}\\ b) \frac{m^{6x}}{m^{3x}}\\, Find the difference quotient and simplify your answer. \dfrac{y^2 - 3y - 10}{y^2 - 4y -12}, Solve for c in terms of b and d. d - \dfrac{5}{c} = \dfrac{7}{b}, Simplify the following equations:a) \dfrac{z^2 + 6z + 9}{z^2 + 7z + 12} \div \dfrac{z^2+3z}{z^2+11z + 28} b) \dfrac{7}{6x^2} + \dfrac{3}{6x^2} c) \dfrac{m^2 - 11m}{m - 5} + \dfrac{30}{m - 5}, Simplify as much as possible. (9x - 12) - (6x + 1), Simplify the following expression: 12x^2-6+5x-8x^2-9. B = 3p^2 + 4p^2 + p - 9 - (-10p) + 4, Reduce the following expression. The quotient of one and five times a number.

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