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Question

Difficulty: EasyTranslating Word Phrases into Algebraic Equations

Complete the algebraic equation that accurately translates the given statement.

Answer:Statement: 'Five subtracted from four times a number kk equals eleven.'

Equation: 【4k】 - 【5】 = 11

Answer

The first blank is '4k' and the second blank is '5', forming the correct equation 4k - 5 = 11.
The phrase 'four times a number kk' becomes 4k4k. The phrase 'Five subtracted from' means 5 is taken away from 4k4k, so the 5 must be placed after the minus sign, forming 4k−54k - 5. Finally, 'equals eleven' sets the expression equal to 11. Therefore, to match the provided equation structure of '___ - ___ = 11', the first blank must be filled with '4k' and the second blank must be filled with '5'.

Step-by-Step Solution

1
Translate the multiplication part of the statement.
'four times a number kk' translates to the algebraic expression 4k4k.
The word 'times' indicates multiplication between the coefficient 4 and the variable kk.
2
Apply the subtraction part of the statement.
'Five subtracted from' means 5 is taken away from the previous term, resulting in 4k−54k - 5.
The phrase 'subtracted from' is a turnaround phrase, which means the 5 must be placed after the minus sign, reversing the spoken order.
3
Complete the equation.
Setting the expression equal to 11 gives the full equation: 4k−5=114k - 5 = 11.
The word 'equals' indicates where the equal sign (=) should be placed in relation to the constant 11.

Key Concept

Translating turnaround words (like 'subtracted from' or 'less than') and basic multiplication phrases into an algebraic equation.
Estimated Time:30s
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Topics

Translating Word Phrases into Algebraic Equations

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