Grade 12 Math: Translating Equations Worksheet
This worksheet focuses on translating verbal descriptions into algebraic equations and vice-versa, covering various mathematical concepts for Grade 12 students.
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Grade 12 Math: Translating Equations
Name:
Date:
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Read each question carefully and follow the instructions to translate between verbal expressions and algebraic equations. Show all your work where applicable.
1. Which algebraic expression represents 'the square of a number decreased by five times the number'?
2x - 5x
x² - 5x
5x - x²
(x - 5)²
2. Translate the following verbal phrase into an algebraic equation: 'Three less than twice a number is equal to seven.'
Equation:
3. Translate the following algebraic equation into a verbal phrase: '4(x + 2) = 20'.
Verbal Phrase:
4. A rectangle has a length that is 4 units more than its width. If the perimeter of the rectangle is 28 units, write an equation that represents this situation. Define your variables.
5. The statement 'The product of a number and five is ten' can be translated to 5 + x = 10.
True
False
Match the verbal phrase with its corresponding algebraic expression.
6. Five decreased by a number
a. x/5
7. The quotient of a number and five
b. x - 5
8. A number decreased by five
c. 5 - x
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