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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.

Grade 12 Math AlgebraTranslating Equations
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1CCSS.MATH.CONTENT.HSA.CED.A.1

Topics

AlgebraTranslating EquationsGrade 12Math
7 sections · Free to use · Printable
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Grade 12 Math: Translating Equations

Name:

Date:

Score:

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'?

a

2x - 5x

b

x² - 5x

c

5x - x²

d

(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.

T

True

F

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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