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Nov 16, 2020 · The next step in solving a word problem is to “translate” each word or phrase into mathematical symbols. Here, “John’s age” is translated as “ − 4 2x-4.”. How about the word “is” (in “John’s age is four less than twice Mary’s age”)? Well, “is” is translated as an equals sign. To see this, it may help to think of ...
- Overview
- What are algebraic word problems?
- What skills are needed?
- How do we solve algebraic word problems?
- What's a Venn diagram?
- Your turn!
- Things to remember
What are algebraic word problems?
Algebraic word problems are questions that require translating sentences to equations, then solving those equations.
The equations we need to write will only involve
and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.
On the test, there are also word problems involving two overlapping groups that we can model and solve with
.
Algebraic word problems are questions that require translating sentences to equations, then solving those equations.
The equations we need to write will only involve
and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.
On the test, there are also word problems involving two overlapping groups that we can model and solve with
•Translating sentences to equations
•Solving linear equations with one variable
•Evaluating algebraic expressions
•Solving problems using Venn diagrams
Solving algebraic word problems requires us to combine our ability to create equations and solve them.
To solve an algebraic word problem:
1.Define a variable.
2.Write an equation using the variable.
3.Solve the equation.
4.If the variable is not the answer to the word problem, use the variable to calculate the answer.
A Venn diagram is a visual representation of two or more groups and their overlap. In a Venn diagram, each circle represents a group with a
. The overlap between the circles represent members of the groups that have
. The non-overlapping part of each circle represents members of the group that have
.
Each part of the Venn diagram is related by the following equations:
A+B−both=totalonlyA+onlyB+both=totalonlyA=A−bothonlyB=B−both
TRY: WRITING AND SOLVING LINEAR EQUATION
When 2 is added to the product of 6 and a certain number, the result is 20 . What is the value of the number?
TRY: LINEAR EQUATION WITH REAL-WORLD CONTEXT
Eleanor bought 5 pints of frozen yogurt and a tray of jumbo shrimp from The Food Place for a total of $45 . If the price of a tray of jumbo shrimp is $25 , what is the price of a pint of frozen yogurt?
Choose 1 answer:
Choose 1 answer:
To solve an algebraic word problem:
1.Define a variable.
2.Write an equation using the variable.
3.Solve the equation.
4.If the variable is not the answer to the word problem, use the variable to calculate the answer.
For a Venn diagram:
6.8 Mixture and Solution Word Problems. Solving mixture problems generally involves solving systems of equations. Mixture problems are ones in which two different solutions are mixed together, resulting in a new, final solution. Using a table will help to set up and solve these problems. The basic structure of this table is shown below:
Sep 23, 2024 · 2nd grade word problem: geometry properties of shape. Shaun is making shapes out of plastic straws. At the vertices where the straws meet, he uses blobs of modeling clay to fix them together. Here are some of the shapes he makes: Shape. Number of straws. Number of blobs of modeling clay. A.
Pound in maths is a unit of measurement that indicates how much mass an object has or the amount of matter occupied by the object. In simpler words, pounds tell us how heavy an object is. For example, the weight of a soccer ball is about one pound. A pound is expressed as lb or lbs, where “lb” stands for libra.
- Apart from pound and ounce, the other unit of measurement in the English system is a ton. It is used to measure much larger weights. 1 ton = 2000 p...
- To convert lbs into oz (pounds into ounces), multiply the given lbs value by 16.
- To convert oz into lbs (ounces into pounds), multiply the given oz value by 1/16.
70 + 210 = 280. The last step is to add 70 and 210. 70 plus 210 equals 280. 280 = 280. 280 is the combined cost of the tickets in our original problem. Our answer is correct: Mo gave $70 to charity. Continue. In algebra word problems are commonplace, though they confuse many.
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3.7 Numeric Word Problems. Number-based word problems can be very confusing, and it takes practice to convert a word-based sentence into a mathematical equation. The best strategy to solve these problems is to identify keywords that can be pulled out of a sentence and use them to set up an algebraic equation. Variables that are to be solved for ...
