Translating Words To Algebraic Expressions Explained!
The Organic Chemistry Tutor・2 minutes read
Identify missing numbers as 'x' and represent 3 times a number as '3x', converting word problems into equations to solve for the value of x in each scenario. Apply the appropriate mathematical operations to the equations to find the numerical value of x in each case, following the given guidelines.
Insights
- Identifying missing numbers as 'x' and representing '3 times a number' as '3x' is foundational to translating sentences into equations for problem-solving.
- Converting word problems into equations requires careful attention to detail, such as correctly interpreting phrases like 'more than,' 'less than,' or 'the difference between,' leading to precise solutions for finding the unknown variable 'x.'
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Recent questions
How do you translate sentences into equations?
To translate sentences into equations, identify the missing number as 'x' and represent phrases like '3 times a number' as '3x'. For example, '5 more than 3 times a number is 26' translates to '3x + 5 = 26'. Solve the equation to find the value of x.
What is the equation for '26 less than 5 times the number is 9'?
The equation for '26 less than 5 times the number is 9' is '5x - 26 = 9'. Solve this equation to determine the value of x.
How do you convert 'the difference between 4 times a number and 7 is 5' into an equation?
To convert 'the difference between 4 times a number and 7 is 5' into an equation, use '4x - 7 = 5'. Solve this equation to find the value of x.
What is the equation for '7 more than the quotient of a number and 3 is 10'?
The equation for '7 more than the quotient of a number and 3 is 10' is 'x/3 + 7 = 10'. Solve this equation to determine the value of x.
How do you express '5 less than 3 times the sum of a number and 4 is 22' as an equation?
To express '5 less than 3 times the sum of a number and 4 is 22' as an equation, use '3(x + 4) - 5 = 22'. Solve this equation to find the value of x.
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Summary
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Translating Sentences into Equations: Solving for 'x'
- To translate sentences into equations, start by identifying the missing number as 'x' and representing '3 times a number' as '3x'.
- For the equation '5 more than 3 times a number is 26', convert it to '3x + 5 = 26' and solve to find x = 7.
- In the equation '26 less than 5 times the number is 9', convert it to '5x - 6 = 9' and solve to find x = 3.
- To convert 'the difference between 4 times a number and 7 is 5' into an equation, use '4x - 7 = 5' and solve to find x = 3.
- For '7 more than the quotient of a number and 3 is 10', the equation is 'x/3 + 7 = 10', solved to find x = 9.
- In '5 less than 3 times the sum of a number and 4 is 22', the equation is '3(x + 4) - 5 = 22', solved to find x = 5.
