a. 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}). Simplify the following expression: -2(y + 3) + 8y. x^{-4} \bullet x^{-7}, Use the properties of exponents to simplify each expression. 8y(6x - 7) - 12x(4y + 3) + 265 - 5(3x - y + 2) = 0. Solve and simplify: \frac{\frac{4x^2a}{y^2}+\frac{1}{a^2}}{2-\frac{2}{y^2a^2}}. Solve. A theater group made appearances in two cities. Reduce the following expression. At a recent motor rally, the number of men exceeded the number of women by 216. Todd and Shantel are 290 feet apart when they start walking toward one another. \frac{\frac{q}{q^2 + q - 20}}{\frac{1}{q + 5}} = \boxed{\space}. Evaluate the given expression {{\left( {{3^{1.2}}} \right)\left( {{3^{2.7}}} \right)} \over {{3^{4.1}}}}. Browse through all study tools. This is the currently selected item. Simplify the following. The worksheets can be made either as PDF or html files (the latter are editable in a word processor). Writing basic algebraic expressions word problems. Explain with examples. In the easiest way simplify a complex rational expression. Translate this sentence into an equation. Expressions are made up of terms. 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}. He wants to mix these three solutions using the double of the solution at 50% regarding the 30% one,... Simplify the expression. How to simplify a rational expression? \left( \dfrac{x^{-6} y^{-3}}{x^{-3} y^7} \right) a.\ x^{\frac{9}{7}}y^{\frac{30}{7}}\\ b.\ x^{\frac{54}{7}}y^{\frac{30}{7}}\\ c.\ x^{\frac{27}{7}}y^{\frac{30}{7}}\\ d... Simplify: \frac{(-12a^{(-5)}b^{(2)}c)}{(2a^{-1}b^{8})}, What is the product in simplest form? Evaluate: 9(x − 2y) for x=3 and y=-2. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 7 Maths Chapter 12 Algebraic Expressions Objective Questions. With this worksheet generator, you can make printable worksheets for simplifying variable expressions for pre-algebra and algebra 1 courses. Find the difference. Use the division rule to simplify the following: {3 x^4} / {y^3} divided by {6 x^2} / {y^2} Choose one answer. \frac{x^2 +2x - 15}{x^3 - 3x^2 + x -3}. Use only positive exponents in your answer. Simplifying Algebraic Expressions KEY. linear inequalities. Assume that all variables represent positive real numbers. Simplify by collecting like terms. Remainder when 17 power 23 is divided by 16. Intermediate Algebra Problems With Answers - sample 1: equations, system of equations, percent problems, relations and functions. 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. {8 x^{-4} y^5 z^{-7}} / {4 x^6 y^{-9}} Write your answer using only positive exponents. Write the answer as a fraction in simplest form. Simplify this expression completely? 3x + 4y – 7, 4x – 10, etc. Use only positive exponents. {5 a} / {4 b}. (5 x^3 y^{-4})^{-2}. A chemist has three solutions that contain a 10%, 30%, and 50% respectively, of a certain acid. For example, 4x + 2 is an expression. \dfrac{4a^5}{7b^4} \cdot \dfrac{2b^2}{2a^4}, Simplify the rational expression. Translate this phrase into an algebraic 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}}. MCQ Questions for Class 7 Maths with Answers were prepared based on the latest exam pattern. 2{\parenthesis 3a - (2b - 5a)\parenthesis - 3(2a - b)} Simplify the expression. Algebraic Expressions – examples of problems with solutions for secondary schools and universities. Assume that all variables represent positive real numbers. Do any mu... Simplify the following. -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. 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. Video transcript - Let's do a few examples of writing expressions to help us solve word problems. Simplify: (y^2 + 9y + 8)/(y^3 + 6y^2 - 16y). Simplify -2x - (3 - 4(4-3x)) + 6x. Write as a single fraction. 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. Write answer as integers or reduced fractions. Factors may be numerical as well as algebraic (literal). Class 1; Class 2; Class 3; Class 4; Class 5 ; Class 6; Class 7; Class 8; Class 9; Class 10; Competitive Exams. We use cookies to ensure that we give you the best experience on our website. D = -2d \times (-9) - 10d^2 - 5 \times 7d, Reduce the following expression. Solve E = 0.47 - \frac{(8.314)(298)}{(2)(96,500)}ln\left ( \frac{(1.00)(13)^2}{1.00} \right ). Simplify: (x^2 + 18x + 81)/(x^2 - 64) times (x + 8)/(x + 9). a. \frac{(2a^{4})^{2}4a^{-2}}{(a^{5})^{4}}. Algebraic Expression. Example 1. ax ± b = c. All problems like the following lead eventually to an equation in that simple form. Put the functions into "polynomial like" form and state the domain. Earn Transferable Credit & Get your Degree. 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. Next lesson. Write an algebraic expression for the following word expression: 3.8 times a number z View Answer Natalie earns $2.50 for each CD she sells and $3.50 for each DVD she sells. \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}}. \frac {x^2 + 2x - 3}{x-5} * \frac {x - 3}{x - 1}, Simplify to lowest terms \frac{10m^4}{12m^5}, Simplify. State any restrictions on the variable. Express the rational expression in lowest terms. I = -2d \times 4, Reduce, if possible, the following expression. Your answer should contain only positive exponents. 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