Let’s use this approach with another example. Let’s practice translating sentences into algebraic equations and then solving them. Now, we’ll translate word phrases into algebraic expressions and equations. The difference of a number and six is [latex]13[/latex]. The height of a rectangular window is [latex]6[/latex] inches less than the width. How old will you be in eight years? Translating Word Problems Into Equations - Displaying top 8 worksheets found for this concept. Translate each word phrase into an algebraic expression: 1. [latex]x+3\color{red}{-3}=47\color{red}{-3}[/latex]. smaller side [latex]<[/latex] larger side, larger side [latex]>[/latex] smaller side. Choose a variable to represent that quantity. What was the original price of the shirt? We summarize the symbols of equality and inequality in the table below. The original cost of Nga’s premium was [latex]\text{\$750}[/latex]. Step 6. The key words are less than. Look for the words of and and to find the numbers to subtract. Look for the words of and and to find the numbers. Note that this is different from the written examples on this page because we start with the mathematical equation then translate it into words. [latex]3\enspace\Rightarrow[/latex] three, [latex]+\enspace\Rightarrow[/latex] more than, [latex]2b\enspace\Rightarrow[/latex] twice the number of bananas. Now we will translate and solve number problems. [latex]13\enspace\Rightarrow[/latex] thirteen, [latex]n-6\color{red}{+6}=13\color{red}{+6}[/latex]. The number of dimes is [latex]2[/latex] less than [latex]5[/latex] times the number of quarters. 2. Then translate each phrase into an expression, and write them on each side of the equal sign. In the following video we show more examples of how to write inequalities as words. There are different sets of addition word problems, subtraction word problems, multiplicaiton word problems and division word problems, as well as worksheets with a mix of operations. Translating Word Problems Into Equations. Read the problem again and look for words that tell you what you are looking for! Now that we can solve equations, we are ready to apply our new skills to word problems. [latex]7\enspace\Rightarrow[/latex] seven, [latex]15\enspace\Rightarrow[/latex] fifteen. 1. [latex]6[/latex] less than [latex]w[/latex]. Step 4. This strategy will help you become successful with word problems. Step 3. What if we are working with expressions that are not equal? 2. Nga’s car insurance premium increased by [latex]\text{\$60}[/latex], which was [latex]\text{8%}[/latex] of the original cost. Pete bought a shirt on sale for $[latex]18[/latex], which is one-half the original price. What was the original cost of the premium? What time should I leave on my 16 mile bike ride if I want to by to the café at noon? Write an expression for the number of dimes. Watch the following video to see another example of how to solve a number problem. Less than means “subtracted from”. 1. Some of the worksheets for this concept are Translating english sentences into mathematical, Pre ctivity interpreting word problems preparation, Topic translating words into mathematical symbols a, Mat 070 algebra i word problems, Introduction to word problems in algebra, Variable and verbal expressions, Two step word problems, Translate to an algebraic expression. Now we’ll develop a strategy you can use to solve any word problem. [latex]a[/latex] is to the left of [latex]b[/latex] on the number line, [latex]a>b[/latex] is read [latex]a[/latex] is greater than [latex]b[/latex] By setting up a system and following it, you can be successful with word problems. So if we know that [latex]b[/latex] is greater than [latex]a[/latex], it means that [latex]b[/latex] is to the right of [latex]a[/latex] on the number line. [latex]2[/latex] less than five times [latex]q[/latex], [latex]2[/latex] less than [latex]5q[/latex]. You may need to read the problem two or more times. To download/print, click on pop-out icon or print icon to worksheet to print or download. Step 1. Worksheet will open in a new window. Yash brought [latex]11[/latex] apples to the picnic. Translating Word Problems into Equations: Most of the time when someone says “word problems” there is automatic panic. If this were a homework exercise, our work might look like this: We list the steps we took to solve the previous example. Blanca has dimes and quarters in her purse. Name what you are looking for. Remember, an equation has an equal sign between two algebraic expressions. We’ll demonstrate the strategy as we solve the following problem. Write an expression for the height of the window. Addition And Subtraction Word Problems 14 Types Helping With Math. five times the sum of [latex]m[/latex] and [latex]n[/latex]. To take a sum, we look for the words of and and to see what is being added. Let’s say your current age is [latex]y[/latex]. Make sure you understand all the words and ideas. If there are words you don’t understand, look them up in a dictionary or on the Internet. When we write an inequality symbol with a line under it, such as [latex]a\le b[/latex], it means [latex]a.

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