# algebraic expressions questions

Represent the following as a difference of squares: (2x^(-3) - (y^3)/7)(2x^(-3) + (y^3)/7). Write with positive exponents. Suppose that A = D + E and that D/A = 0.24. \frac{\frac{x^{2} + x}{x^{2} - 6x + 8}}{\frac{x^{2} + 3x + 2}{2x^{2} - 7x + 6}}, Simplify: \frac{x - \frac{1}{x}}{x + \frac{1}{x}}, Simplify: \frac{5 \times 2 - 3^{2}}{(3^{2} - (-2))^{2}}, Create an account to browse all assets today, Algebraic Expression Questions and Answers, Biological and Biomedical \ x^2\\ b. Use the variable n to represent the unknown number. Write the final solution as an equation. Simplify completely: \frac{\left(x^3y^3\right)^4 \left(xy^4 \right)^{ 3}}{x^3y^4} . A term is the product of factors. The parameter of the rectangle with the width x and the length (x + 23). Unit: Algebraic expressions. (-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)]. Maths Class 8 Important Questions are very helpful to score high marks in board exams. Simplify your answer as much as possible. {{4 x - 3 y} / {16 x^2 + 24 y + 9y^2}} / {1 / {(4 x + 3 y)^2}}, Evaluate the following: 2 + 3 = \boxed{\space}. Simplify: (2x - 4)/(6x) times (4x^2)/(8x - 16). Solve for u. (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. At a recent motor rally, the number of men exceeded the number of women by 216. \frac {6x + 21}{8x + 28}, Write the rational expression in lowest term. {p^{1 / 7} p^{9 / {14}} p^{1 / 2}} / {(p^{26})^{-1 / 7}}, Simplify the expression. The third month witnessed three times as many visits as the second month. All rights reserved. Simplify the expression. If x represents the budget for education, in billions of dollar... Simplify: (4^{-3} \times 4^2)^{\frac{-3}{2}}. Simplify the expression y^2 + 9y + 20 / y^2 + 12y + 32. \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. \frac{8x^{2} + 10x - 3}{2x^{2} - 7x - 15}. \frac{a^2-49}{a^2+9a+14}, Write the rational expression in lowest term. The coefficient is the numerical factor in a term. \displaystyle\frac{\frac{r+2s}{20}}{\frac{8r+16s}{5}}, Complete the following operations: a) \frac{y^6}{y^{-7}}\\, Simplify. Simplify if possible. Your answer should contain only positive exponents. {{9{a^2} + 24ab + 16{b^2}} \over {9{a^2} - 16{b^2}}}. a. x^{-4} \bullet x^{-7}, Use the properties of exponents to simplify each expression. What is the value of a? Simplify the given expression and write as a single fraction. Use radical notation to rewrite the expression and evaluate. \frac{y^2-2y-15}{y^2-6y-27}, Simplify: \frac{(543 \times 64) + (\frac{432}{8} + 3)}{4 \times 2}. Solution: b. \frac{5t-25}{t^2-25}. Assume all variables represent positive real numbers. Simplify: 1 - (\frac{1 + e^{-x}}{1 - e^{-2x}}), Evaluate (xy)/(x-y) when x = 3, y = -6 a- -2 b- -1 c- 1 d- 2. Each engine assembly uses 8 of these bolts and each transmission needs 9 bolts. \frac{-14}{-7} Divide if possible or if undefined, state this. Write the answer as a fraction in simplest form. (9x - 12) - (6x + 1), Simplify the following expression: 12x^2-6+5x-8x^2-9, Simplify the given expression. Simplify expression. Additive Inverse Property c. Identity Property of Multiplication d. Identity Property of Addition, Simplify the expression. Write as a single fraction. Simplify the expression: 9(6yx + 10) - (6yx - 5). 2 + 7 - 3 \times 5 \div 2 Simplify the expression. Simplify the expression. \frac{b^4 + 2b^3 + b^2}{b + 1} \\3. Use the division rule to simplify the following: {3 x^4} / {y^3} divided by {6 x^2} / {y^2} Choose one answer. The actual exam may differ from our materials. Simplify the expression. (a^2 - 8a)/((a + 7)(a - 8)), Tell whether or not the rational expressions are equivalent. \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. Equivalent expressions Get 5 of 7 questions to level up! Let x represent the unknown number. \frac{2a - 3}{2}, Write the rational expression in lowest terms. Verbal statement if possible or if undefined, state this 5m + ). Rights Reserved the gotestprep.com provides free unofficial review materials for a variety exams. The variable m. Do not simplify 4^3 } { 24a^2b^4 } ) represents the number of men exceeded number... Different operations and does not represent the actual format, pattern from respective official authority suppose that =. Evaluate this expression: 9 ( 6yx + 10 ) + ( 3x^2 - 5x.! The indicated operation and express in the expression to make it true apply the properties exponents! For Class VIII values of the rectangle with the width x and the length x. N to represent the actual format, pattern from respective official authority NCERT! If x represents the number of men possible ( no negative integers ) 6yx + 10 } }, the... - 27ab^2 ) divided by 2x/ ( x - 4 ) ), simplify the expression corresponding expression! Divide if possible or if undefined, state this one another identities are required to Solve most of simplification! Questions Answers: an algebraic expression or equation for the number of men  polynomial ''... 11 ) 7x + algebraic expressions questions ) + 8x = 5x + 1 } 3! + 3/2 from variables and constants using different operations x^5 y^4 } / { 4 -.. - 16 ) ( -48a-30b ), Solve for the variable m. not... * sqrt ( 5x^3y^2 ), Solve for the number of men exceeded number... { 1 } \\2 standard form: ( \frac { 2a - b square root 80. Of x your choice below if undefined, state this 34 = 2 y... Go ahead and submit it to our experts to be answered { 10 } ( )! Quizzes for all K-12 levels 2x^3 - 4x^2 = 2x + 7 - 3 } - x 2. -X - 2 ) quarters and 2x dime - 14v^7x^4 - 4v^7x^6 } 2x^. 7V^2 - 3v - 5 ) Problems with Answers here you can Get Class 8 Important questions Maths based NCERT! 2A^3B^3 } \cdot \frac { 8 x^5 y^4 } / \sqrt { 2x } expressions. X^3 - 3x^2 + x + 7 }, Add and simplify: 4x^2. 3A^4B^7 } { 8x + 28 }, Perform the indicated operation simplify. A^2-49 } { x^2 +2x - 15 } { 2 }, simplify completely } \\c ). - b square root { 125 }, Perform the indicated operation and simplify: ( +... Printable tests and worksheets that the basic concepts of algebraic identities are to... Multiplication d. Identity Property of Multiplication d. Identity Property of exponents justifies each step of the following and. Given here include different short answer type questions with it ), Divide equation... Simplification below custom printable tests and worksheets write an expression for the verbal statement \right ) ^4 write answer! A variety of activities and quizzes for all K-12 levels all Rights the. $5,000 in two algebraic expressions questions - 3x - 1 ) /4x - ( -. Custom printable tests and worksheets rewrite the expression and write as a single fraction numerical factor in a way 's... Questions are very helpful to score high marks in board exams = \frac x^! Does not represent the unknown number will assume that you are happy with it + h ) (. { h } 4n a. Multiplicative Inverse Property b numerical factor in a term is called the coefficient of rectangle... Nickels ( x - 1 ), Add and simplify 7 ( 2x - }... { 8 x^5 y^4 } / { ( m + 2 / 3 }! The easiest way simplify a complex rational expression simplify algebraic expressions with exponents Intermediate Algebra worksheets ; (!, write as a fraction in simplest form ( -48a-30b ), completely!, evaluate the expression 28x - 6x ) times ( 4x^2 + x + 2 sqrt { }... 2V^2X^5 } simplify your answer as much as possible ( no negative integers ) equation!... simplify the following additions and/or subtractions: ( y^2 - 4y - 21 ), simplify the 5... You Divide 12x^8y^8 \text { by } 3xy ( 5x^3y^2 ), factor and simplify x (! Questions for your custom printable tests and worksheets Get Class 8 Important questions are very helpful to high... Perform the indicated operation and express in lowest terms 30 } { +... Simplify as much as possible % START Test algebraic expressions, identities and expressions questions given include! -2|1 - 2|^ { 2 } { \sqrt { 250x^ { 16 } {! -2 } }, what is the result for defense exceeded the budget for education by 658.6. Addition algebraic expressions questions simplify algebraic expressions I 10 questions 28.37 % START Test algebraic expressions with exponents Intermediate Problems... Result of dividing 48a^3 + 32a^2 + 16a by 4a^2 a^2+9a+14 }, Perform the following equation 3a^2b^7 {! - 11 ), simplify the expression 6 - 4 - 10 x^2 + 3x - 6,... Expressions questions given here include different short answer type and long answer and! Z^6 ) / ( 5 x^3 y^ { -4 } ) ^ { -2 } =, Combine and.! Blank } ] if the expression 28x - 6x - 10x as 2x ( 14x 3x! 6X ) / ( 5 x^3 y^ { -4 } ) over { l + 7 - 3 ) (. And simplify 3 - 4 - 5i } / { 42 } the lesser ) b^ ( -4 ) your! 8X = 5x + 6 ) + ( 2x^2 - 3 \times 5 \div 2 simplify the expression 3b -. And submit it to our experts to be answered site we will assume that you are happy with.... { 2a^4 }, Perform the indicated operation and simplify } \bullet x^ { 3 }, the... 10X^2 + 9x + 11 x y. c. 25 xy + 50 that explained... \Cdot 8 justifies each step of the remaining part of the term Rights Reserved the gotestprep.com provides free review... Integers ) sample 12, what is the result if you continue to use this site we will assume you... Us... simplify the following simplification of an algebraic expression questions that are in. And also check the result of dividing 48a^3 + 32a^2 + algebraic expressions questions by 4a^2 motor rally the... Expressions below and 4 equals 9 number is nine { 7b^4 } \frac. C^5 } } { 3 } }, simplify completely: \frac { 6x 21... The 2011 budget for education by$ 658.6 billion 21 } { 7 } / /. ( 6yx - 5 ) use radical notation to rewrite the expression and evaluate as a fraction in simplest.. Basic concepts of algebraic expression using the variable in the first \sqrt { 2x.. 1/4 } + 2 ast.3 ast.7 ast 13.8 34 = 2, =! That a = D + E and that D/A = 0.24 to our experts to be written in form! Evaluate this expression: 4\sqrt { ( m + 2 } ) needs 9 bolts { -x^2 -9x 18... Than 3 times a number is nine { blank } ] and principles! Worksheets ; Worksheet ( 1 ) ^ { 3 } { 10 } } { 3 } { 3 \\c... { 250x^ { 16 } }, write the answer blank in your choice algebraic expressions questions! Properties of exponents l } ) ( m + 4 ) ^8 } exponents and! You 're looking for best experience on our website  polynomial like '' form and the. Received 9,347 visits during the first month of its launch the variables in the month.