Questions and Answers
Translate 'ten less than twice the number of students in the art club' into algebra.
2a-10
Translate 'eight times the sum of 7x and seven' into an algebraic expression.
8(7x+7)
Translate 'a times 11a' into an algebraic expression.
a(11a)
Write an expression for the number of shrimp that Arianna caught if she caught nine less than five times the number William caught.
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Translate 'y subtracted from 7y' into an algebraic expression.
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Translate '11u divided into 2u' into an algebraic expression.
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Translate '14m plus 2' into an algebraic expression.
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Translate 'the sum of nine times 3c and eleven' into an algebraic expression.
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Translate '16x more than 7' into an algebraic expression.
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Translate 'seventeen times the difference of 14p and 9q' into an algebraic expression.
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Translate 'seventeen times the difference of 4t and 4u' into an algebraic expression.
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Translate 'one more than three times the number of coupon books that Andrew sold' into an algebraic expression.
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Translate 'six less than three times the number of candy bars that Cheryl sold' into an algebraic expression.
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Translate 'the length of a rectangle is 6 less than the width' into an algebraic expression.
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Translate 'the number of dimes is three less than four times the number of quarters' into an algebraic expression.
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Study Notes
Translating Phrases to Algebraic Expressions
- The number of students in a math club is described as ten less than twice the number in the art club, represented as (2a - 10) with (a) being the number of art club students.
- Eight times the sum of (7x) and (7) translates to (8(7x + 7)), where "sum" indicates addition and needs parentheses.
- Multiplication of (a) and (11a) is expressed as (a(11a)).
- Arianna caught nine less than five times the shrimp William caught, represented by (5c - 9) where (c) is the number of shrimp William caught.
- The phrase "y subtracted from 7y" translates to (7y - y).
- "11u divided into 2u" translates to division expressed as (2u \div 11u) or (2u/11u).
- "14m plus 2" is simply expressed as (14m + 2).
- The sum of nine times (3c) and (11) translates to (9(3c) + 11), indicating an operation of addition on the produced product.
- The phrase "16x more than 7" becomes (16x + 7).
- Seventeen times the difference of (14p) and (9q) is represented as (17(14p - 9q)), introducing multiplication and subtraction simultaneously.
- Similarly, "seventeen times the difference of (4t) and (4u)" is captured by (17(4t - 4u)).
- Sarah sold one more than three times Andrew's coupon books, leading to the expression (3a + 1) where (a) denotes Andrew's sales.
- Paul sold six less than three times Cheryl's sales, leading to (3c - 6) with (c) identified as Cheryl's candy bars.
- The length of a rectangle is described as six less than its width, written as (w - 6) where (w) represents the width.
- The number of dimes is described as three less than four times the quarters, leading to (4q - 3) where (q) is the count of quarters.
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Description
Learn how to translate word phrases into algebraic expressions with this quiz based on Algebra Chapter 2.2. By using examples, you will practice forming mathematical expressions from everyday language. This is essential for mastering algebra concepts.
