Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Write the verbal sentence as an equation. Then solve the equation.
Four minus 7 times a number is equal to 12 minus 3 times the number.

The required equation is $4 - 7 x = 12 - 3 x$ and the solution is $x = - 2$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step-1 – Given

Four minus 7 times a number is equal to 12 minus three times a number.

Step-2 – To determine

We have to write the equation by writing verbal sentence as equation. Then we solve the equation.

Step-3 – Calculation

Let the unknown number is x

So, four minus 7 times a number = $4 - 7 x$

12 minus three times a number = $12 - 3 x$

According to the question $4 - 7 x = 12 - 3 x$

Now we solve the equation,

$\begin{array}{l} 4 - 7 x = 12 - 3 x Write the original equation \\ 4 - 7 x + 3 x = 12 - 3 x + 3 x Add 3 x to both sides \\ 4 - 4 x = 12 Simplify \\ 4 - 12 - 4 x = 12 - 12 Subtract 12 from both sides \\ - 8 - 4 x = 0 Simplify \\ - 8 - 4 x + 8 = 0 + 8 Add 8 to both side \\ - 4 x = 8 Simplify \\ \frac{- 4 x}{- 4} = \frac{8}{- 4} Divide each side (- 4) \\ x = - 2 Simplify \end{array}$

Therefore, the solution of the equation $4 - 7 x = 12 - 3 x$ is $x = - 2$

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Pre-algebra

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Short Answer

Write the verbal sentence as an equation. Then solve the equation.
Four minus 7 times a number is equal to 12 minus 3 times the number.

Step by Step Solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Pre-algebra

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Short Answer

Write the verbal sentence as an equation. Then solve the equation.Four minus 7 times a number is equal to 12 minus 3 times the number.

Step by Step Solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Write the verbal sentence as an equation. Then solve the equation.
Four minus 7 times a number is equal to 12 minus 3 times the number.