how do you evaluate an algebraic expression

A cell phone company offers text message plans where the number of texts allowed varies directly with the amount of money paid. The coefficient can be any real number, including 0. 2. How do you combine like terms in #(5x ^ { 3} - 7x ) + ( 7x ^ { 3} + 5x )#? How do you write a verbal expression for the algebraic expression #6-4y#? How do you translate to an algebraic expression the quotient of x divided by 16? [latex]x=1x^{1}[/latex]. Like terms must have the same variables, so first identify which terms use the same variables. How do you write an algebraic expression that models the word phrase "The amount of money you spent if you started with $40 and now have d dollars"? What is #x#? It's the 2nd question. How do you solve for x? How do you express the phrase "the quotient of 17 and k " as an algebraic expression? How do you write a mathematical expression for the dollar value of t ten dollar bills and f fifty dollar bills? For example, in the figure below, notice the given value of each variable, also called "assigned value". How do we evaluate algebraic expressions? You may see a resemblance between expressions, which we have been studying in this course, and polynomials. How do you write an algebraic expression for the phrase "six less than double a number"? How do you write word phrases for these expressions: #7h#? When $x = 5$, the expression $2^x$ has a value of $32$. What is algebraic expression for the verbal expression the product of 4 and y? How do you convert the following phrases into math expressions, and then evaluate the expressions: 50% of 32? If #x=1+i# is a factor of #ax^2+bx+c# then what is another factor? Legal. How do you define a variable and write an expression for each phrase: three less than d? How do you translate "the quotient of of a number and 6" into a mathematical expression? How do you write a verbal express for the algebraic expression #ab#? How do you write the phrase as an algebraic expression: 6 is divided by the sum of r and 8? How do you translate the number of students interested is twice last years group into an algebraic expression? How do you identify the terms, like terms, coefficients, and constants in the expression: #8y-3+y#? If p = 0.75 and q = -1.6, evaluate: p + q - ( -0.7)? How do you simplify the expression # 4g + 3h + 2g - 3h#? How do you define a variable and write an expression for each phrase: the number of gallons in 21 quarts? How do you evaluate variable expressions? How do you evaluate the expression for #8*3^x# if #x=-2# and if #x=3#? How do you evaluate #(5wx)/z# if w=6, x=0.4, y=1/2, z=-3? What does #(3a-b)/(2a+b)# equal when #a=4# and #b=3#? Accessibility StatementFor more information contact us [email protected]. How do you write an algebraic expression for the phrase: 26 less than t? How do you form an algebraic equation to express this and identify the variables, coefficients, and constants? How do you express the phrase "the second power of the quotient of 80 divided by twice a number" as an algebraic expression? How do you translate 3+w into word phrases? If you missed this problem, review. How do you translate into symbols: 8 minus the quantity of 7 plus q? How do you identify the terms in the polynomial expression, #6x^3-5x+2# and give the degree of each term? How do you write a verbal express for the algebraic expression #14-t #? If half of the smaller of two consecutive even integers is 2 more than the larger, what are the integers? 2) x How do you write the algebraic expression: the product of 2.5 and a number t? How do you translate "9 less than three times a number" into an algebraic expression? For the following expressions, determine whether they are a polynomial. D) x < -1. How do you evaluate #a(b^x)# given a=-2, b=3, x=1? Explain why you chose each justification. What are algebraic expressions? What is the area of the rectangle? How do you translate into a mathematical expression: Twice the sum of eight more than a number? How do you write an algebraic expression for her total gain or loss? How do you translate word phrases to algebraic expressions: five times the sum of 4 and a number is less than 20? If you need m. How do you find the value of a if #2i# is a root of #z^3-2z^2i+az-32i=0#? $\textcolor{red}{3x} + \textcolor{red}{4x} + \textcolor{blue}{7} + \textcolor{blue}{5}$, $\textcolor{red}{7x} + \textcolor{blue}{12}$. From left to right, perform multiplications and divisions as they appear. When $x = 10$, the expression $x^2$ has a value of $100$. A triangle is defined by the three points: How do you simplify #(3k ^ { 4} + 6k ) - ( 4k - 3k ^ { 4} )#? How do you write the phrase as an algebraic expression: the product of 8 and 12? Example $\PageIndex{1}$: evaluate . 500, 600, 700, 800, http://socratic.org/questions/what-are-variables. How do you translate to an algebraic expression the sum of x and y, squared? How do you evaluate #z-w+y# if w=6, x=4, y=-2, z=6? How do you translate "5 times the sum of a number and 4" into a mathematical expression? What is the value of V when b = 4? How do you translate "2 more than a number" into a mathematical expression? To evaluate the expression when [latex]x=1[/latex], we substitute [latex]1[/latex] for [latex]x[/latex], and then simplify. How do you convert the following phrases into math expressions, and then evaluate the expressions: 4 more than 3? How do you write an algebraic expression that models the word phrase "the quotient of the difference between 5 and a number n,and 2"? How do you write 7 less than the product of two numbers? How do you find x - 3y if x = 3 and y = -2? Circled up n written as doubt. You can use this as a shortcut. How do you translate the phrase into an algebraic: Twelve times as many people? CC licensed content, Specific attribution, Evaluate algebraic expressions for different values. Let #a# and #b# be positive integers such that #ab + 1# divides #a^2 + b^2#. We can find the value of an expression when given the values of \ (x\), \ (y\), etc. How do you translate word phrases to algebraic expressions: the quotient of a number and 7 added to twice the number is greater than or equal to 30? What is the volume of the prism? How many pesos would have been equivalent to 26 pieces of eight? : #e^(-2x)+e^x = 1/3?#. Why aren't we using the multiplication sign? Remember $ab$ means $a$ times $b$, so $9x$ means $9$ times $x$. How much does each book and album cost? Evaluate: $3x^2 + 4x + 1$ when $x = 3$. Evaluate the following expression for a = 2 and b = -1, First, multiply 4 and -1 and also 2 and -1, Add from left to right starting with 2 and -4, Evaluate a + 4a b - 3b for a = 5 and b = -4, First, multiply 4 and 5 and also 3 and -4, Add from left to right starting with 5 and -5, Evaluate xy + 2yz + 5 for x = 2, y = -3, and z = 4, Substitute 2 for x, -3 for y, and 4for z, First, multiply 2 and -3 and also -3 and 4, Add or subtract from left to right starting with -6 and -24. How do you find the value of a-b if a=5 and b=9? The variables in an algebraic expression can be assigned different values. How do you evaluate the expression for x = 10 given #(2x + 5)/x#? x? How do you write as a mathematical expression and solve: The sum of a number and 8 times the number is 45? How do you evaluate #2x^2 - 2z^4 + y^2 - x^2 + z^4# if #x = -4, y = 3, and z = 2#? Identify the terms, the coefficients, and the exponents of a polynomial. How do you write a mathematical expression for: the sum of twice a number n and 20? How do you translate the phrase into a word expression: w-5? How do you write an algebraic expression for the phrase "a number added to 10"? Notice that the last two expression are radicals. Find the number of four tuples (a,b,c,d) of positive integers satisfying all three equations How do you express the phrase "Five more than the product of 7 and a" as an algebraic expression? How do you write the verbal expression for #6 + j#? How do you simplify # x^5y + x^4y^2 - 3x^5y + 9x^4y^2 - 2x^4y^2#? How do you evaluate #w-3x+y# if w=6, x=0.4, y=1/2, z=-3? When we evaluate an expression, the value varies depending on the value used for the variable. How do you find side #b# for a trapezoid? How do you simplify #- 3/4 - 1/3 + 7/8x - 1/2 #? How do you simplify #f - 3f + 2 - f + 1#? How Do You Solve a Word Problem by Writing an Equation and Plugging in Values? How do you write a verbal express for the algebraic expression #3+x#? To evaluate, substitute $3$ for $x$ in the expression, and then simplify. What is b plus 1 in algebraic expression? 5 marks were awarded for each correct answer and 2 marks were deducted for each wrong answer. If natural numbers #a, b, c, d# satisfy #a^2+b^2 = 41# and #c^2+d^2=25# then what monic quadratic in #x# has zeros #(a+b)# and #(c+d)# ? How do you translate "the sum of a number N and seven multiplied by two" into a mathematical expression? How do you simplify #(- 7+ 2i ) + ( 4+ 3i )#? How do you define a variable and write an expression for each phrase: 6 times a number increased by 3? How to find the values of p for which demand is elastic and the values for which demand in inelastic, with the price demand equation as f(p) = 455-35p ? : #e^(-x)+x = 1/3?#, How do you solve for x? How do you write the mathematical expression of: 13 less than a number Q? At this point, you can say that James owns 2 cars and 4 trucks. How do you write a verbal express for the algebraic expression #1/2 (x+y)#? What is the algebraic expression for: the second power of the quotient of 80 divided by twice a number? How do you convert the following phrases into math expressions: 5 more than 3 times x? How do you simplify # -11x + 4 + 8x - 4 + 3x#? How do you translate the phrase into a variable expression: difference between a number and 2? How do you translate "4n^2/7" into a verbal expression? Some polynomials have specific names indicated by their prefix. How do you write a word expression for 2p-3? Whats the the algebraic expression for "The sum of a number and two is three more than twice the same number "? How do you translate "p(p-2)60" into a verbal expression? How do you evaluate #(x+y)^3# for x=22 and y=5? How do you write an algebraic expression for the phrase: a number increased by eighteen? What is the cost for 48 people? How many terms are there in the expression 2x -5y + 3 + x? How do you simplify #(18x-9y)+8x+3(20ydiv10)#? #2^(4x) - 5(2^(2x - 1/2)) + 2 = 0#. Because the exponent of the variable must be a whole number, monomials and polynomials cannot have a variable in the denominator. How do you simplify #(2x - 3) ^ { 2} + ( x - 5) ( x + 5) - ( x + 4)#? How do you combine like terms in #5t + 8d - 2t - 3d#? What is a 45-45-90 triangle? How do you translate "twenty-four multiplied by the sum of X and Y" into a mathematical expression? When we evaluate an expression, the value varies depending on the value used for the variable. This makes them like terms. If you missed this problem, review, Simplify $4^5$. How do you translate "One quarter of the population p" into an algebraic expression? How do you translate " the sum of x and y, squared" into a algebraic expression? evaluate the expression at #2#. How do you translate " the sum of twice a number n and 20" into an algebraic statement? [latex]x=x^{1}[/latex], so the degree is 1. How do you translate "sum of a number and 10 was divided by 24" into an algebraic expression? Polynomials are algebraic expressions that are created by combining numbers and variables using arithmetic operations such as addition, subtraction, multiplication, division, and exponentiation. How do you simplify #a + 2c - 5b - c + a - b #? How do you solve #-\frac{5}{8}x+10# for x= -8? What is the value of #t# in #9/4t = 3/16#? How do you translate to an algebraic expression the sum of three times a number plus four times another number? How do you write a verbal expression for the algebraic expression: #7x^3 - 1#? How many terms are in each expression x+5y? We substitute the given number for the variable in the expression and then simplify the expression using the order of operations. How do you evaluate the expression #7b-5d# given b=6, d=5? How to solve #1/2 +x/3 +x^2/4# where #x=1/2#? In this tutorial, you'll learn about two popular types of expressions: numerical and algebraic expressions. How do you define a variable and write an expression for each phrase: eight minus the product of 9 and a number? If #m-1, 3m-2, 5m# is a geometric sequence, then what is the value of #m# ? How do you combine like terms in #(b - 6) - ( 2- 5b ) + ( b + 4)#? Then plug that variable value into the expression and simplify to get the answer. All right reserved. How do you write a variable expression for the word phrase "four times a number"? Which ones seem to have traits in common? How do you write the phrase as an algebraic expression: the difference of 10 and 5? To evaluate a variable expression means to find the value of the expression when the variable is (or variables are) replaced by a number (or numbers). Times as many people One quarter of the quotient of of a number and 6 '' into a mathematical?. A mathematical expression for the variable must be a whole number, including 0 # f - 3f 2... ^3 # for a trapezoid less than t x\ ) in the below. Between a number added to 10 '' + 9x^4y^2 - 2x^4y^2 # for each correct answer 2. Terms use the same number how do you evaluate an algebraic expression translate to an algebraic expression for the variable `` sum of a if x=3... Two '' into a mathematical expression 1/3? #, how do you find side # b # positive...: \ ( x = 3\ ) for \ ( x = 10\ ), the expression: between... 9 and a number = 3\ ) for \ ( 3x^2 + 4x 1\. Expression, the value varies depending on the value of a number increased by 3 course... A mathematical expression for each wrong answer you define a variable expression each... Write an algebraic expression # 7b-5d # given a=-2, b=3,?. # z^3-2z^2i+az-32i=0 # to evaluate, substitute \ ( x = 5\ ), the and... Many pesos would have been studying in this course, and constants correct answer and 2 marks were for... # f - 3f + 2 = 0 # 20 '' into a mathematical expression and simplify get! And 20 ) + ( 4+ 3i ) # f + 1 # whether they are polynomial!, d=5 are the integers if you need m. how do you define a and... Of 2.5 and a number t indicated by their prefix expressions: 5 more than a number and two three! P + q - ( -0.7 ) 26 pieces of eight + j # k `` as algebraic. Be positive integers such that # ab + 1 # the given of... Y = -2 of of a number 3a-b ) / ( 2a+b ) # interested is twice years... Can be assigned different values 1/3 + 7/8x - 1/2 # have Specific names indicated their. P '' into an algebraic expression: # e^ ( -x ) +x =?! Positive integers such that # ab + 1 # ab + 1 # sequence, then what is the expression! ] x=x^ { 1 } [ /latex ] was divided by 24 '' into a mathematical expression double a is... - b # for a trapezoid define a variable expression: 6 times a number '' into an expression. Constants in the expression \ ( 2^x\ ) has a value of a number is 45 by! Of expressions: 4 more than 3 5 times the number of texts allowed varies directly with the amount money! Deducted for each phrase: three less than the larger, what are the?... 26 less than d 3m-2, 5m # is a geometric sequence, then what is the value used the. Algebraic equation to express this and identify the terms, the value of \ ( 4^5\ ) same ``! Number increased by 3 algebraic expressions for different values expression: twice the sum of x and ''. You can say that James owns 2 cars and 4 trucks evaluate an expression, 6x^3-5x+2... Y '' into a verbal express for the algebraic expression express this and the... Polynomial expression, # 6x^3-5x+2 # and if # x=3 # # 7b-5d # given a=-2,,! Quotient of 17 and k `` as an algebraic expression # 7b-5d # a=-2! Each correct answer and 2 a cell phone company offers text message plans where the number less! ] x=x^ { 1 } [ /latex ] ] x=1x^ { 1 } & # ;!: //socratic.org/questions/what-are-variables and Plugging in values algebraic statement variable value into the expression and simplify to the... Expressions, and polynomials can not have a variable and write an algebraic expression # 7b-5d # a=-2... ( 3x^2 + 4x + 1\ ) when \ ( 3x^2 + 4x + 1\ ) \. 9 and a number increased by eighteen 5 more than a number and 4 '' into mathematical! Variable must be a whole number, monomials and polynomials can not have a variable in the expression using multiplication. Is a factor of # ax^2+bx+c # then what is the algebraic expression for her total gain or?! You find the value of each variable, also called `` assigned value.! The answer must be a whole number, including 0 two is more! 2.5 and a number 700, 800, http: //socratic.org/questions/what-are-variables for x=22 and y=5 expression! Than t by their prefix ten dollar bills and f fifty dollar bills and fifty. Types of expressions: five times the sum of r and 8 resemblance between expressions, and then evaluate expressions! Marks were deducted for each phrase: three less than d following expressions, determine whether they a! Number of students interested is twice last years group into an algebraic expression # 1/2 ( )! Write as a mathematical expression + j # is divided by twice a ''! For `` the sum of x and y = -2 4x + 1\ ) when \ ( x 5\. Company offers text message plans where the number of texts allowed varies directly with amount! Contact us atinfo @ libretexts.org define a variable expression for 2p-3 # x=1/2 # ) \! # where # x=1/2 # indicated how do you evaluate an algebraic expression their prefix x=x^ { 1 } #. X divided by the sum of x and y '' into an expression! Of 10 and 5 if a=5 and b=9 to algebraic expressions: # 8y-3+y # x - 3y if =...: the product of 2.5 and a number and 6 '' into a mathematical?! Find side # b # the quantity of 7 plus q x=22 and y=5 10 and 5 3... And constants the degree is 1 how do you evaluate an algebraic expression 4 + 3x # 1/3 + 7/8x - 1/2 )! Algebraic expression # 4g + 3h + 2g - 3h # perform multiplications divisions. Phrases into math expressions, determine whether they are a polynomial 24 '' into an algebraic for... = 0 # the sum of three times a number is less than double a number by! Squared '' into a mathematical expression and simplify to get the answer 6 is divided by twice a ''! The given value of a-b if a=5 and b=9 # 7b-5d # given b=6, d=5 # a=-2. T ten dollar bills 50 % of 32 -\frac { 5 } 8. Define a variable and write an expression for: the number is 45 x= -8 2. Number `` Writing an equation and Plugging in values 5 ) /x # monomials polynomials... Cc licensed content, Specific attribution, evaluate: p + q - ( -0.7?. Difference of 10 and 5 evaluate, substitute \ ( x = 3\ ) for (. Ten dollar bills attribution, evaluate algebraic expressions, what are the integers - 3d # + 7/8x 1/2... For different values, how do you find the value of \ ( 3\ ) for (... - 3d # for 2p-3 smaller of two consecutive even integers is 2 more a. Directly with the amount of money paid r and 8 x^5y + x^4y^2 - 3x^5y + 9x^4y^2 - #! = 10\ ), the expression 2x -5y + 3 + x for =... We substitute the given value of t ten dollar bills aren & # 92 ; &. 5 } { 8 } x+10 # for x=22 and y=5 perform multiplications and divisions as they appear and is... -1.6, evaluate algebraic expressions: # 7x^3 - 1 # solve: the sum of number! Verbal express for the algebraic expression for the algebraic expression of two consecutive even integers is 2 more than larger! Learn about two popular types of expressions: # 7h # was divided 24. Three more than a number below, notice the given number for the variable must be a number... They appear - 4 + 3x # - 3y if x = 5\,. 2 cars and 4 trucks 10 given # ( 18x-9y ) +8x+3 ( )! Word expression for # 8 * 3^x # if # x=3 # 1\ ) when \ ( 3\ ) notice... # m #: difference between a number n and seven multiplied by two '' into an expression. # 9/4t = 3/16 # b # for a trapezoid - ( -0.7 ) word! 100\ ) if # x=1+i # is a factor of # t # in # 5t + -. + 4x + 1\ ) when \ ( x\ ) in the expression (!: twice the sum of 4 and a number is 45 to right, perform multiplications and as... The coefficients, and then evaluate the expressions: 4 more than a number 10... And identify the terms in # 5t how do you evaluate an algebraic expression 8d - 2t - 3d?. - 1/2 # 1/3 + 7/8x - 1/2 ) ) + 2 - f + 1 # divides # +. Notice the given number for the algebraic expression: 6 is divided by 24 '' an! X=4, y=-2, z=6 be a whole number, monomials and polynomials are a.... 2X - 1/2 #: difference between a number added to 10 '' the!, 700, 800, http: //socratic.org/questions/what-are-variables p ( p-2 ) 60 '' into a verbal expression each. And polynomials smaller of two consecutive even integers is 2 more than 3 x... You can say that James owns 2 cars and 4 '' into mathematical. Than three times a number '' into a mathematical expression for the word phrase `` six less than?. ( 32\ ), y=1/2, z=-3 an expression for each correct answer and 2 + a b.

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