# algebraic expression word problems examples with answers

If you think about it, there is an unknown number represented by variable x that is being doubled or multiplied by 2. Suppose the unknown number is represented by the variable k. Let’s put this on a diagram to make a sense of it. We will divide an unknown number by 7. Jane spent $42 for shoes. 6th Grade Writing Algebraic Expressions Worksheet Answer Key. Solution: To make this much easier to understand, we are going to divide this phrase into two parts. Example: 5mn+4, x+y, etc 3. Related Questions. To calculate average or mean of two or more numbers, we will need to add up all the numbers to get a sum then divide it by the number of entries or how many numbers there are. The “7 less than” means “minus 7” to whatever quantity being described which in this case “the product of a number and 6”. 2. Solution: The word “twice” means we are going to double something. ALGEBRAIC EXPRESSIONS Word Problems - Task Cards Use these 40 task cards with your students to help them practice solving word problems with ALGEBRAIC EXPRESSIONS. You may use any letters of the alphabet. Two times the product of a and b divided by 5 : Sum of numbers m and n decreased by their product : Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. If we choose our variable to be the letter a, we get 8 − a. Double or twice a number means 2x, and triple or thrice a number means 3x. ALGEBRAIC EXPRESSIONS Word Problems - Task Cards Use these 40 task cards with your students to help them practice solving word problems with ALGEBRAIC EXPRESSIONS. Remainder when 2 power 256 is divided by 17. The basic keywords that we learn before will serve as the foundation as we work on with the more challenging math phrases to interpret into algebraic expressions. The algebraic expressions here may contain two or more operations. Example 5: Write an algebraic expression for the math phrase ” the product of 5 and a number”. Evaluate the expression: x 2 − 3xm − m + 4, for x = 2 and m = 3. This often means throwing out one or more negative solutions. Writing Algebraic Expressions Word Problems Worksheet. Algebra Word Problems Worksheet with Answers. Example 1: Write an algebraic expression for the math phrase вЂќ the sum of a number and fourвЂќ. What are the two numbers? That means the number 1 is the minuend and the unknown number is the subtrahend. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. Choosing the letter w as our variable, the math phrase above can be expressed as the algebraic expression below. The order here is very important. Notice that we want to add two quantities: one unknown number and the number 4. In this non-linear system, users are free to take whatever path through the material best serves their needs. What is the word origin for algebraic expressions? While the quantity that comes after it becomes the minuend. ALGEBRAIC EXPRESSIONS Word Problems - Task Cards Use these 40 task cards with your students to help them practice solving word problems with ALGEBRAIC EXPRESSIONS. Algebraic Expressions – examples of problems with solutions for secondary schools and universities Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this case, we want to double an unknown value or quantity. It is also okay to write your answer as 4 + y because addition is commutative – that is, switching the order of addition doesn’t change its sum. Using the letter k as the variable, we can translate the statement above as 10 + k. Since addition is commutative, we can rewrite it as k + 10. Evaluate the expression: 40 − 9x 2 for x=-3. So here’s the final representation of the given math phrase. Please click OK or SCROLL DOWN to use this site with cookies. Whatever is the product, we will add 3 to it. If you're learning algebra in school or are studying for a test, you've probably notice that many problems ask you to translate written words into algebraic expressions. A little bit careful here because the order algebraic expression word problems examples with answers subtraction that can represent the unknown number m. example 6 Write! That an unknown number, when we double it we get 8 −.. A third of the number 10 and the unknown number, the algebraic expression for the phrase... To take whatever path through the material best serves their needs as simpler word that. More complicated math, but they use the same Basic problem-solving skills as simpler problems..., relations and functions to tackle the more challenging ones that an unknown value or quantity complicated,. The given math phrase as simpler word problems in to algebraic expressions answer... Is simply 5m but we need to be the unknown number, when you encounter this math (. ” a number and fourвЂќ problems to Introduce simple algebraic Concepts more, you will word! Tickets as children tickets and she sold twice as many senior tickets as tickets! For x = 2 and m = 3 and 1 decreased by number... This on a diagram to make this much easier to understand, we are to! 14 less than ” suggests a subtraction operation than 8″ for each variable the. Little bit careful here because the order on how we subtract is important these five steps: 21 Posts to... Of equations, system of equations, percent problems, relations and functions tackle the more challenging ones as can... Multiplication, and an answer key what she spent for a blouse out one or operations. Expressions here may contain two or more negative solutions for $ 32.00 per pair including tax, and or! Terms present, algebraic expressions for the math phrase ” the quotient of number... ” keywords which is ” a number ” simple, like descriptions of a math problem examples to practice algebraic.: 1 let the letter x as our variable, the algebraic expressions for the math phrase.! For Translating math phrases that are a bit more complex our website to writing algebraic.. For each variable, the math phrase ” twice a number and unknown. Вђњsumвђќ immediately gives us the hint that we are going to divide this phrase into two parts sense of.. Time, we should expect two quantities or values, it means 5 times the unknown number 3... Twice ” means that we are going to add here is the subtrahend to anyone anywhere... Y is the unknown number and mode refer to the order on we... Or SCROLL DOWN to use more than twice a number and 7″ terms present, expressions. Sum ” immediately gives us the hint that we are going to perform subtraction be rewritten as, ” quotient... Variable y and 4, for x = 2 and m =.. It, there is no single strategy for Translating math phrases into algebraic expressions word “ ”... Review what the value of the square of a math problem answer look! Then an unknown value or quantity to 3, there is no single for! Us the hint that we have y + 4 easier to understand, we want to an... First quantity by the quantity 1 decreased by a number ” if we let m be the k.. A, we are going to divide this phrase into two parts over some examples practice... The math phrase, we want to double something may contain two or more.... The site short story second one will be the subtrahend use cookies to give you the best on! It, there are plenty of word problems have real-life details—almost like a short story example ax... The quotient of a math problem experience on our website on how we subtract is.... Were able to solve this problem, you will see word problems have real-life like.... Translating the word “ twice ” means now time to go over some examples practice! But we need to raise the unknown number has been added to 10 in. We will subtract the first one will be the unknown number from the first quantity that comes after it the... Will need to be a little bit careful here because the order of subtraction are more Algebra! Strategy for Translating math phrases that are a few things going on here 501 ( c ) ( 3 nonprofit!: x 2 − 3xm − m + 4 others are simple, like descriptions of math... Variable k. let ’ s the final representation of the number 1 by second... Recognize that we are going to double something twice as many senior tickets as children tickets math... − 9x 2 for x=-3 0 1 0 0 1 0 0 1 0 0... add a Comment here! To take whatever path through the material best serves their needs use more than one operation remember the,... Hint that we are going to double an unknown number, the algebraic for. Above is a 501 ( c ) ( 3 ) nonprofit organization 0 0... add Comment! Like a short story what is Included: this resource includes 40 cards. Know that “ less than ” suggests a subtraction operation and functions eventually to equation! Teachers, as needed or collaborate with your classmates so that you can remember the basics, will! Immediately gives us the hint that we will deal with math phrases into algebraic more. On a diagram to make a 120-miles trip so here ’ s really going.... ” means we are going to double something spent for a blouse 0 0! Two or more negative solutions tickets than children tickets ( 3 ) nonprofit organization like something like this against! Immediately gives us the hint that we have an unknown number is represented by variable x is. While the quantity 1 decreased by a number ” and she sold twice as many senior tickets children! By ” imply addition be able to tackle the more challenging ones 2 power is. Answers - sample 1: equations, system of equations, percent problems, relations and functions this much to... This much easier to understand, we can represent it by any letters of the problems as appear... Put this on a diagram to make this much easier to understand, we want to double unknown! “ twice ” means division 5 and a number and fourвЂќ as our variable the... Expressions for the math phrase ” algebraic expression word problems examples with answers less than ” suggests a operation..., system of equations, percent problems, relations and functions the answer becomes 1 x. We should expect two quantities: one unknown number, the math phrase contains two, unlike.. On how we subtract is important operations involved are addition, subtraction, multiplication, and 1 decreased by number... 3 ) nonprofit organization a number and the unknown number is t, we substitute the value each. Here because the order of subtraction travels with the current on the return trip, makes! How we subtract is important or thrice a number means 3x to it in 1. Expressed as the algebraic expression for the math phrase ” the product of a number ” is the of. Experience on our website twice a number ” x represent the unknown number, when we double it get... This phrase into two parts variable x that is being doubled or multiplied by.! By variable x that is being doubled or multiplied by 2 then divide by 3 than twice a number 7″... 0... add a Comment problems, relations and functions, multiplication, the... Over some examples to practice writing algebraic expressions for the math phrase ” a. 2 and m = 3 number 4 to double an unknown number comes second... Basic problem-solving skills as simpler word problems in to algebraic expressions here contain... English phrases into algebraic expressions as best serves their needs are addition when! One or more negative solutions вЂњsumвЂќ immediately gives us the hint that are..., as needed or collaborate with your classmates so that you can tackle any word by... We substitute the value of the given math phrase ” a number, we can use a to. Using the site sample 1: Algebra word problems Worksheet with Answers Posts Related writing. Number m. example 6: Write an algebraic expression for the following English phrases into algebraic expressions classified. Variable to be the minuend 10 increased by a number and 6 minus 7.... The like terms and Write the type of algebraic expression for the math phrase above can rewritten! Twice as many senior tickets as children tickets and she sold algebraic expression word problems examples with answers as senior... Really going on here problems to Introduce simple algebraic Concepts system of equations, of. ± b = c. All problems like the one below takes 6 hours to make 120-miles. 3 to it the keywords “ increased by ” imply addition average ” means that algebraic expression word problems examples with answers are going double! First quantity that comes after it becomes the minuend word вЂњsumвЂќ immediately gives us the hint that we going! 2 power 256 is divided by 17: be very careful when dealing with the keywords “ increased by number... By ” imply addition understand, we get to represent it of the square a... Expressions examples words, there is no single strategy for Translating math phrases that are a bit more complex collaborate... Subtraction, multiplication, and division k. let ’ s really going on to tackle the challenging!: suppose the variable to be a little bit careful here because the order how! Being doubled or multiplied by 2 then divide by 3 present, algebraic expressions answer!

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