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Together they make 10 tables in 12 days. Alex working alone can make 10 in 30 days. How long would it take Sam working alone to make 10 tables? Turn the English into Algebra: Letters: Use a for Alex's work rate; Use s for Sam's work rate; 12 days of Alex and Sam is 10 tables, so: 12a + 12s = 10. 30 days of Alex alone is also 10 tables: 30a = 10
- 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:
For example, if you take the word "website," the anagram solver will return over 60 words that you can make with those individual letters. Actually, a common trivia question is how many words (+/- about 10 words) can you make form the word "anagram?"
People also ask
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Feb 16, 2024 · Enter up to 20 letters. A word scramble game challenges you to find hidden words by rearranging jumbled letters. Playing a game that bombards you with word scrambles, like Wordscapes® or Just Jumble? Need help sorting the letters? We’ve got your back!
Word Unscrambler is a tool specifically created to help you find the highest-scoring words for Scrabble, Words with Friends, and other word games. By entering your current letter tiles, Word Unscrambler's unique search engine will suggest all valid words from the selection given.
Feb 14, 2024 · 1. Understand the Problem by Paraphrasing. 2. Identify Key Information and Variables. 3. Translate Words into Mathematical Symbols. 4. Break Down the Problem into Manageable Parts. 5. Draw Diagrams or Visual Representations. 6. Use Estimation to Predict Answers. 7. Apply Logical Reasoning for Unknown Variables. 8.
We ask hard questions because so many of the problems worth solving in life are hard. If they were easy, someone else would have solved them before you got to them. This is why college classes at top-tier universities have tests on which nearly no one clears 70%, much less gets a perfect score.
