![]() We know that d=12, so we can substitute d for 12 and then solve for q.ĭivide both sides of the equation by 2 to get q by itself. Since we are ultimately trying to find out how many quarters were in the exchange, we can use the original equation we set up that has a relationship between the number of dimes and the number of quarters. ![]() Step Six: Divide Each Side of the Equation Remember, "d" represents the number of dimes, so there were 12 dimes in the exchange. We need to do the opposite operation, so divide both sides by 32.5. When a number is pushed up against a variable it implies multiplication, so to get the d variable by itself. Now we have one equation with one variable, and we can simplify it to solve out for d. We can substitute n in the first equation with 2d, since they are equal in value. If we divide both sides by 2, we are left with d/2 = q. Which variable is in each equation?ĭ = 2q needs to be written as “q =” so we can replace the q in the first equation with something in terms of d. ![]() Since we have three equations and three variables, we can use substitution to solve for a variable. Step Three: Rewrite the Problem as an Equation Step One: Highlight Important Parts of the Text How many quarters were in the exchange?Ĭonfused? Never fear! Word problems like this seem complicated at first, but with Margo’s method, soon you’ll understand the key parts. The number of dimes in the exchange was twice the number of quarters and the number of nickels was twice the number of dimes. Problem: A person exchanges 390 pennies for quarters, dimes, and nickels. Let's go through an example problem to get some practice translating word problems into equations. How to Translate Word Problems Into Equations Terms: A term is a single mathematical expression: one number, operator, or symbol. Expressions can include addition, multiplication, subtraction, and division. Variable: In algebra, a variable like x or y symbolizes an unknown value.Įxpression: A mathematical expression is a group of numbers, operators, and symbols. What is a variable? An expression? Here’s a quick refresher before we dive into today’s problem. Key Vocabularyīefore we begin, let’s touch on some important vocabulary. In this useful Math with Margo tutorial, she’ll show students how to convert word problems into algebra terms and then find an easy solution.įollow along step-by-step, and your student will understand algebra terms and how they fit into complex math problems. Math is complicated enough when trying to make sense of numbers alone, and even more so when words are thrown into the mix.
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