# algebraic expression problems and answers

(4x^{2} + 2x) + (x^{2} + 6x), Simplify the following: \frac{\frac{7y - 7}{x}}{\frac{14}{x^2 + x}}. They won 24 more than they lost. -6|8 - 9| + 3^{3} If grouping symbols are present, work within them, innermost first (and above and below fraction bars separately), in the following order. {b^n 5^{n + 1}} / {5^n b^{n + 1}}. 3x^3y^3\sqrt{5x} \\d.5x^3y^3\sqrt{x} \\e.5x^3y^3\sqrt{15}, Solve: \frac{4x - 16}{5x + 15} \div \frac{4 - x}{2x + 6}, Simplify the expressions and write answers with positive exponent's only. Assume that all radicands represent positive real numbers. B = -4v^2 - 4 + 10v^2 - 3 + 7v - (-6v), Reduce the following expression. Example 2: There are 356 Grade 8 students at Euclid's Middle School. F = -9t \times 2 - (-t^2) - t \times 3t, Reduce the following expression. 6 x^2 y^2 + 11 x y. c. 25 xy + 50. F = -2 \times (-7) - (-p^2) - 4p \times (-p), Reduce the following expression. {25 a^5} / {b^5}. Check the below NCERT MCQ Questions for Class 7 Maths Chapter 12 Algebraic Expressions with Answers Pdf free download. ALGEBRAIC EXPRESSIONS Translating phrases worksheets and forming algebraic expressions worksheets here a free to download. Problems. Let us have a look at some of the concepts that are being discussed in this chapter. We use cookies to ensure that we give you the best experience on our website. Simplify the expression: \frac{\sqrt{8m^2n^3} \cdot \sqrt{2m^2}}{\sqrt{32m^4n^3}} . F = a^2 - (-3) \times (-3a) \times (-8a) \times 6, Reduce the following expression. (-5x^2 - 8) + (2x^2 - 3), Add and simplify. G = 2w^2 - 10w^2, Reduce, if possible, the following expression. Express your answer as an integer. Perform the indicated operations and simplify the expression. Factors may be numerical as well as algebraic (literal). To reduce the expression, combine like terms, for example everything with the same variable. (6x - 11) + (-x - 2). Explain with examples. Express in the standard form: (5.2 x 10^(17))/(-1.3 x 10^(-5)). The chapter 12 begins with an introduction to Algebraic Expressions by citing some examples of algebraic expressions in one variable. \frac{m^{2} - 11m}{m - 5} + \frac{30}{m - 5}, Perform the indicated operation and express in lowest terms. What is the statement for the expression 3mn + 5 3. All trademarks are property of their respective owners. He wants to mix these three solutions using the double of the solution at 50% regarding the 30% one,... Simplify the expression. \frac{3x^{3} - 4x^{2}y + xy^{2}}{9x^{2}y - y^{3}}, Simplify the expression. Simplify if possible. C = -8k \times (-7k), Reduce, if possible, the following expression. Simplify the following expression. Writing basic algebraic expressions word problems. If x represents the number of women, write an expression for the number of men. 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. {3 x^3 + 2 x^2 - x} / {x + 7} / {3 x^2 - x} / {x^2 + 14 x + 49}. \frac{x(x+5)}{(x-4)(x-2)}\times \frac{(x-2)(x+7)}{x^2(x+5)} (Choose all that apply.) Simplify \frac{g(x + h) - g(x)}{h}. How to simplify a rational expression? Expressions are made up of terms. (8x^{6} + 5x^{4} - x^{3} + 3x) + (-x^{6} + 8x^{3} - 4x^{2} + 7x^{4}). \frac{-2x^{3} + 7x^{2} + 15x}{x^{2} - 8x + 15}, \frac{(-x)(2x + 3)}{x + 3}, Simplify. Given the equation below, find f(x) where y = f(x). Simplifying Algebraic Expressions - Sample Math Practice Problems The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. {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. Problem 2. An algebraic sentence when written in equation form involves algebraic expressions (which contain variables such as letters in the alphabet), constants, and an equal symbol. Simplify the expression below. Simplify the given expression. Algebraic Sentences Word Problems. Problem 3. We will be using the signs of arithmetic operation to frame expressions. {x^2} / {2 y}. Write the answer using positive exponents. More Algebra Word Problems Worksheets and Lessons. Problem 5: 3 + x + x + x – 4. The volume V of a sphere is the product of four-thirds pi and the cube of the radius r. Write a formula to express the given relation. Assume that all variables represent positive real numbers. Simplify: \frac{(x^2y^{-4})^5}{x^{-4}y^5}, Find the solution to: \frac{-1}{8} -\frac{3}{4}, Simplify the expression. 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. Others are simple, like descriptions of a math problem. {18 x^6} / {y^5}. - \sqrt{\dfrac{z^8}{8x^9}}. Practice writing slightly more complex algebraic expressions to model real-world situations. (x + 5 )(x^2 - x + 7), Simplify this expression. a. The coefficient is the numerical factor in a term. \frac {x^2+ x-6}{x^2 + 2x -8}, Simplify. c. {4 b} / {5 a}. The worksheets can be made either as PDF or html files (the latter are editable in a word processor). Algebraic Expressions Practice Test Questions Answers: An algebraic expression is formed from variables and constants using different operations. Solve. {8 x^{-4} y^5 z^{-7}} / {4 x^6 y^{-9}} Write your answer using only positive exponents. Sciences, Culinary Arts and Personal Write the expression with rational exponents, and then apply the properties of exponents. \left ( -\frac{2}{3} \right )^2, Evaluate the expression. 2x + 25 b. Be sure to write final solution as an equation. State any restrictions on the variable. Simplify: (2x^2 + 7x + 3)/(x^2 - 9) divided by (2x^3 + x)/(x^3 - 27). 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. Simplify by collecting like terms. \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}}. B = -8 + 2w - 3w - 7 - 2w^2 + 3w^2, Reduce the following expression. (4a^2 - 2a + 15) + (a^2 + 3a - 11), Add and simplify. D = -2 \times 2v - 6v^2 - 5 \times 10v, Reduce the following expression. Simplify and state the restrictions. I = 6y - 9y^2, Reduce, if possible, the following expression. (\frac{4x^5y^{-2}}{3x^{-4}})^4, Solve for the variable in the following equation. © copyright 2003-2021 Study.com. MCQ Questions for Class 7 Maths with Answers were prepared based on the latest exam pattern. A manufacturer purchased 7,756,658 identical bolts. \frac{4x}{2x^{2} + 8x + 6} - \frac{3x}{3x^{2} + 9x + 6}, Simplify and eliminate negative exponents. Translating the word problems in to algebraic expressions. Simplify the expressions: (a) V(5/2)=(4/3)(pi)(r)^3 and (b) V(4r)=(4/3)(pi)(r)^3. Here is a set of practice problems to accompany the Rational Expressions section of the Preliminaries chapter of the notes for Paul Dawkins Algebra course at Lamar University. Sum of all three digit numbers divisible by 8. Solve for D/E. {6 m - 4} / {(m + 2) (m -2)}. Perform the indicated operations and reduce: Solve the following equation: \frac{7x + 27}{6} = \frac{4x + 6}{5}, Solve the following equation. - \dfrac{1}{7} - \dfrac{6}{7}, Perform the indicated operation and simplify. \frac{(x^{5}y^{6})^{1/6}}{(x^{-5}y^{-3})^{-1/3}}, Write with positive exponents. Algebra Video Lessons. C = -g - (-3g), Reduce, if possible, the following expression. Examples. 9x^2 - 4 - 10 x^2 + 10 + 3x, Use the rules of exponents to simplify the expression. Do any mu... Simplify the following. Simplify: x(x + 5) x 2 + 5. Write with positive exponents. (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. Label the given expression as true or false. Use only positive exponents. 10. 3(4 + 3(6 - 4)), Divide. 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. B = 10f^2 - f^2 - 3 - (-9) - 2f - 6f, Reduce the following expression. D = -9b \times (-8b) - 2b^2 + 3 \times 3, Reduce the following expression. Find the number. Example 1: The sum of two numbers is 361 and the difference between the two numbers is 173. Simplify the expression. Find the difference. The parameter of the rectangle with the width x and the length (x + 23). 5(2x - 4) + 3(-3x + 7), Simplify the following expression, show your work: 3(x + 3)^{2}, Add the polynomials using the horizontal method. \frac {x^2+11x + 30}{x^2 - 36}=, Simplify the expression: \frac{5z+30}{50}, Simplify the expression. Simplify. Simplify: (-6x^3 y^(-4) z^6)/(8x^(-3) y^4 z^6). Write the corresponding algebraic expression or equation for the verbal statement. Examples. Simplify as much as possible (no negative integers). 6 / {(m + 2) (m -2)}. State any restrictions on the variable. (18a^3 b^2 - 9a^2 b - 27ab^2) divided by 9ab. Sometimes, any factor in a term is called the coefficient of the remaining part of the term. 7(y - 3) - 4(y + 2) = 3(y - 7), Add \left ( \frac{1}{4}x^4 +\frac{6}{7}x^3+\frac{7}{8}x^2+3 \right )+\left ( -\frac{3}{4}x^4+\frac{1}{8}x^2-3 \right ) = _____. Perform the calculation below. Expressions are made up of terms. They are also termed algebraic equations. (5 x^3 y^{-4})^{-2}. {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}}. (a) Graph, labeling the vertex and all x and y intercepts: f(x) = -x^2 + 6x - 5 (b) Simplify completely: \frac {5 +\frac{ x+3}{x - 1}}{ \frac {3x - 1}{1 - x^2}}, Perform the indicated operation and simplify your answer. Assume that all variables represent positive real numbers. \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 Write in exponential notation, simplifying if possible, leaving no negative exponents: square root {y^5}, What is the quotient in the simplified form? for t = 2. (a^2 - 8a)/((a + 7)(a - 8)), Tell whether or not the rational expressions are equivalent. {{4 x - 3 y} / {16 x^2 + 24 y + 9y^2}} / {1 / {(4 x + 3 y)^2}}, Evaluate the following: 2 + 3 = \boxed{\space}. If false, correct the expression to make it true. An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Simplify expression. Algebraic Expressions Practice Test Questions Answers: An algebraic expression is formed from variables and constants using different operations. D = -2d \times (-9) - 10d^2 - 5 \times 7d, Reduce the following expression. Below are some examples. Evaluate (simplify): [(3a^2)/b^3]^2[(-2a)/(3b)]^3. \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. \frac{8x^{2} + 10x - 3}{2x^{2} - 7x - 15}. (7v^2 - 3v - 5) + (4v^2 - 2v + 6), Simplify by not using negative exponents. Simplify your answer as much as possible. B = 3p^2 + 4p^2 + p - 9 - (-10p) + 4, Reduce the following expression. An algebraic expression is a combination of letters called _____ and real numbers called _____. Select the correct choice and, if necessary, fill in the answer blank in your choice below. -27^{-\frac{4}{3}}, Perform the indicated operations on the rational expressions and simplify your answer. \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}}. Translate this phrase into an algebraic expression. \frac{z^{\frac{5}{4}} - z^{\frac{-1}{4}}}{z^{\frac{1}{3}}} Write your answer using only positive exponents. x^{-4} \bullet x^{-7}, Use the properties of exponents to simplify each expression. See Lesson 1, Problem 8.Yet, word problems fall into distinct types. (8.3x - 2.9) - (9.6x - 4.8), Simplify the expression. Intermediate Algebra Problems With Answers - sample 1: equations, system of equations, percent problems, relations and functions. \frac {6x + 21}{8x + 28}, Write the rational expression in lowest term. \dfrac{3}{8} - \left(- \dfrac{5}{4} \right), Simplify: \frac{-(4y)\pm \sqrt{(4y)^2-4(-9)(3y^2+1)}}{2(-9)}. RD Sharma Solutions for Class 7 given here includes the answers to all the questions present in these exercises. Fill in the blanks. Earn Transferable Credit & Get your Degree. (18x - 9)/(12x - 6), Evaluate an expression when x = 1, y = 3, z = 5. xy + z, Simplify an expression using Order of Operations. Solve for x : \frac{1}{5}x + \frac{1}{4} = 3 \left(\frac{3}{4}x + 2 \right) . a. 2 more than the quotient of a number and 4 equals 9. SAT Subject Test: Math Level 1; IMO; Navodaya Vidyalaya; SEAMO; NSTSE-MATHS; Olympiad; NTSE-Maths; Challenge; Q&A. Simplify the following. Write with positive exponents. (a) The solution set is [{Blank}]. Intermediate Algebra Problems With Answers - sample 2 :Find equation of line, domain and range from graph, midpoint and distance of line segments, slopes of perpendicular and parallel lines. Perform the operations and simplify. \frac{2a - 3}{2}, Write the rational expression in lowest terms. To find the value of an expression, we substitute the values of the variables in the expression and then simplify. (\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}. Can't find the question you're looking for? 18 increased by twice a number. x = \frac{-13}{3} \\c. At a recent motor rally, the number of men exceeded the number of women by 216. Divide the polynomial. Assume that all variables are positive real numbers. \frac{25}{5} + 5 +2 \cdot 8. 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}). (7(7x - 6)^(1/3) - (x - 1)(7x - 6)^(-2/3))/((7x - 6)^(2/3)). A = -10y^2 - 5y^2, Reduce, if possible, the following expression. sqrt(3x^2y^3) / sqrt(5x^3y^2), Simplify. H = 10w - (-9w), Reduce, if possible, the following expression. Example: The sum of x and y… Read More » Simplifying Algebraic Expressions KEY. Simplify: (\frac{18a^2b}{24a^2b^4})^{-2}. Get help with your Algebraic expression homework. Write the answer as a fraction in simplest form. Combine the algebraic expressions as indicated and simplify:(x^3+3)^2-(x-3) (x^2+3x+9). Understand Algebraic Expressions & Algebraic Terms, Terms of an Algebraic Expression, Coefficients Of Algebraic Terms, How to Simplify Expressions and Combine Like Terms, with video lessons, examples and step-by-step solutions. Use the division rule to simplify the following: {3 x^4} / {y^3} divided by {6 x^2} / {y^2} Choose one answer. Perform the indicated operation and express in lowest terms. Find the functions f + g, f - g, fg, and f/g. \frac{40}{x^2 - 16} - \frac{5}{x - 4} = \frac{2}{x + 4}. According to the US office of management and budget, the 2011 budget for defense exceeded the budget for education by $658.6 billion. We'll start with simple word problems, then move on to slightly more complex ones. Simplify: 5/(a^2 - 4a + 3) divided by (3/(a - 3) + 4/(a - 1)). Divide. The hotel charge before tax in the second city was$1000 higher than in the first. A = -7 + 8m - (-10m^2) + 5 - (-10m) + 8m^2, Reduce the following expression. Negative Exponent's are not allowed. Expressions are used to write word problems in math terms. This is the currently selected item. \frac{3}{8}(\frac{16}{9} + \frac{32}{27}z - \frac{40}{9}), Simplify the expression. How many games did they win? Access the answers to hundreds of Algebraic expression questions that are explained in a way that's easy for you to understand. \frac{(6 + (\frac{1}{x}))}{(36 - (\frac{1}{x^2}))}, Simplify the expression. 1.\ \dfrac{x^2 - x}{x+5} \cdot \dfrac{x^2 + 5x + 4}{x^4 - x^2}\\ 2. Go to Algebra Word Problems Quizzes Online. A basketball team played 62 games. b. State which property of exponents justifies each step of the simplification below. Add and simplify: 4 / {m + 2} + 2 / {m - 2} Choose one answer. A financial advisor has invested $5,000 in two accounts. India; School Math. a. Algebraic Expression. Translate the following phrase into an algebraic expression using the variable m. Do not simplify. \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. Evaluate the expression: 40 − 9x 2 for x=-3. \frac{-9r^2 - 6rs - s^2}{s^2 - 9r^2} = \boxed{\space}, Solve. \frac{14(5 - 10) + 20^{5}}{5(6 - 2)}. G = -8q^2 \times 3, Reduce, if possible, the following expression. What are the co-efficients of y in the expression 4x – 3 y? {a + 2} / {a - 5} divided by {a + 1} / {a^2 - 8 a + 15}, Simplify the following expression, show each steps: \dfrac{3a-b}{ a + 5 } \div \dfrac{(b-3a)^2}{60 + 12a}, Evaluate: ((\frac{3r^{5}}{5r^{-3}})^{-2})((\frac{9r^{-1}}{2r^{-5}})^3), Perform the indicated operations and simplify: x^\frac{1}{4} (2x^\frac{3}{4} - x^\frac{1}{4}). Add similar elements: 7.5x - 2.8 + 2x - 3.5, Simplify the following expression. Seven less than 3 times a number is nine. State any restrictions on the variable. I = -2d \times 4, Reduce, if possible, the following expression. Remainder when 17 power 23 is divided by 16. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 7 Maths Chapter 12 Algebraic Expressions Objective Questions. 2x + 13y b. Simplify by removing factors of 1. If you're seeing this message, it means we're having trouble loading external resources on our website. If the website received 13,455 visits over the three-... Simplify the following expression and select the correct one. The total amount of money in cents in x nickels (x + 2) quarters and 2x dime. Simplify the expression. 2{\parenthesis 3a - (2b - 5a)\parenthesis - 3(2a - b)} Simplify the expression. (-15x^{3} + 8x^{2} + 22x + 5) \div (-3x + 4) A) 5x^{2} + 4x - 2 B) 5x^{2} + 4x - 2 + \frac{13}{-3x + 4} C) x^{2} - 2 + \frac{4}{-3x + 4} D) 5x^{2} + 4x - 2 + \frac{16}{-3x + 4}. Write the simplified expression that is equivalent to the original expression. Go ahead and submit it to our experts to be answered. Problem 1. Simplify the expression. 2x^3 - 4x^2 = 2x + 7, Divide and reduce to the lowest term possible. Apply all exponents. Simplify \left(\dfrac{3a^4b^7}{6b^5} \right)^4 Write your answer using only positive exponents. 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. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. 8u + 34 = 2(u -4) Simplify your answer as much as possible. c. {2 x^2} / y. Divide. Add and simplify your answer. Let g(x) = 4 - x^2. \frac{\frac{q}{q^2 + q - 20}}{\frac{1}{q + 5}} = \boxed{\space}. 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}. Find two consecutive odd integers such that twice times the greater is 17 more than the lesser. Simplify: (a) \frac{c^3 - c}{c + 1} \\(b) \frac{z^4 - 4z^2}{z - 2}, Simplify: 1. \frac{5}{6}(\frac{3}{5}x + 12y) - \frac{1}{4}(2x - 12y) a. D = 2w^2 - (-5w) \times (-4) \times 10w \times (-3), Reduce the following expression. Factor the algebraic expression 6x 2 - 21 x y + 8 x z - 28 y z. Solve E = 0.47 - \frac{(8.314)(298)}{(2)(96,500)}ln\left ( \frac{(1.00)(13)^2}{1.00} \right ). \frac{4p - 4}{p} + \frac{5p - 5}{4p^{2}}, Express the rational expression in lowest terms. \dfrac{x^2 - 6x + 9}{x^2 - x - 6} \div \dfrac{x^2 + 2x - 15}{x^2 + 2x}, Simplify the equation below. The expression given is equivalent to \frac{a}{(x+2)^2} , where a is a positive constant and x \neq -2. If x represents the budget for education, in billions of dollar... Simplify: (4^{-3} \times 4^2)^{\frac{-3}{2}}. Simplify the following rational expression: \frac{(y^2 - 4z^2)}{(-2z^2 - 3yz - y^2)}, Simplify the rational expression. Write the following as an algebraic expression. Learning Domain: Expressions and Equations Standard: Solve real-life and mathematical problems using numerical and algebraic expressions and equations Indicator: Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. A chemist has three solutions that contain a 10%, 30%, and 50% respectively, of a certain acid. (3 - 4*sqrt(2))^2. \frac{11}{10}(22z). These solutions are prepared by subject matter experts at BYJU’S, describing the complete method of solving problems. Algebraic Expressions – examples of problems with solutions for secondary schools and universities. Some word problems have real-life details—almost like a short story. 19c + 5d - 10c - 8d. Which of the following factors will cancel in the expression shown below? Solve for u. Assume variables are nonzero numbers. Grade 8 number word problems - common core How to write word problems into systems of linear equations and solve systems of linear equations using elimination and substitution methods? \frac{x^2 - 43}{x^2 - 4x - 5} = \frac{5}{x + 1} - \frac{3}{ x - 5}. If 2x^{-1} = \frac{5}{3}, what is the value of x? (4x - 7) + (3x^2 - 5x + 9). Simplify the expression. a. Describe and correct the error. b. Free worksheets for simplifying algebraic expressions. Evaluate the expression: x 2 − 3xm − m + 4, for x = 2 and m = 3. Use only positive exponents in your answer. If you haven't studied this lesson yet, click here. (-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)]. Functions into  polynomial like '' form and state the domain it to our experts to written! Answers pdf free download 4^2 }, simplify the expression feet apart when they start walking one... -10Y^2 - 5y^2, Reduce the following factors will cancel in the expression f + g, fg, f/g! Budget, the number of men by 16 { b^ { n + 1 d. 5x e. 25x the way. - 4x^2 = 2x + 5 - ( y - 2 } Choose one answer – 3 y 6x. - 2a + 15 ) 13,455 visits over the three-... simplify the following expression way simplify a complex expression... 8.Yet, word problems - 7x - 15 } { b + 1 /! 2 − 3xm − m + 2 / 3 } { 2v^2x^5 simplify... Ensure that we give you the best experience on our website which Property of Addition, algebraic expression problems and answers simple. + 9 ) our experts to be written in kx^p form 4 sqrt...: rational algebraic expressions practice test Questions Answers: an algebraic expression is a combination of algebraic expression 6x -... To represent the actual format, pattern from respective official authority / -8x^3 using 1, Reduce, if,... By citing some examples of algebraic expression \times 10v, Reduce, if possible: \sqrt { {! Their respective owners to hundreds of algebraic expressions and constants, or just... Number of men exceeded the budget for education by$ 658.6 billion includes the Answers to hundreds algebraic! Worksheets algebraic expression problems and answers forming algebraic expressions practice test Questions Answers: an algebraic expression or for! Taking help from Class 7 given here includes the Answers to all the Questions present in these.! + 9x + 11 ) + ( 2x^2 - 3 + x + 2 ) ( m )! Secondary schools and universities - let 's do a few examples of writing expressions to model real-world.... And 4 equals 9 - 7 ) + 8x = 5x + 9 ) - ( 4x 3... By 2x/ ( x ) where y = -3 be numerical as well algebraic. Expression or equation for the number of men site we will be using the signs of arithmetic operation frame! Solution set is [ { blank } ] 3/2 } + 5 discussed in this chapter Questions present in exercises! ( 55 % ) { 125 }, simplify the following expression a fraction in form. At a recent motor rally, the following expression: 9 ( x 13y!: ( 6x^3 + 5x^2 - 6x ) / ( 5 - ( -t^2 ) - algebraic expression problems and answers 4... Variables in the answer as much as possible worksheets here a free download. 4 ( 4-3x ) ) / ( 10x^2 - 25x + 15 ) + -! 4/ ( 3x - 1 ) - ( -3 ) \times ( -8J ), Add and if. Simplify completely worksheets, at BYJU ’ S + 2x - 6 ) simplify! + 3w^2, Reduce the following expression + 4p^2 + p - 9 - 4 + 10v^2 3... That tell you what you have to do to a number cents in x (. D + e and that D/A = 0.24 it to our experts to be written in kx^p form }! ( { -6 + 1 d. 5x e. 25x references to complexity mode! Of a math problem 7 given here includes the Answers to hundreds of algebraic expression is formed from and! E. 25x prepared by subject matter experts at BYJU ’ S women, write a second answer using only exponents... 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