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Chapter 6: Problem 14

Write each English phrase as an algebraic expression. Then simplify the expression. Let \(x\) represent the number. Ten times the product of negative four and a number

Short Answer

Expert verified
The simplified algebraic expression for the given English phrase is \(-40x\).

Step by step solution

01

Translate Phrase to Expression

The English phrase can be translated into the algebraic expression as following the mathematical operations implied in the statement: 'Ten times' can be translated to \(10 \times\) ; 'the product of' implies multiplication, and 'negative four and a number' can be represented by \((-4) \times x\). Therefore, the whole phrase translates to: \(10 \times (-4) \times x\).
02

Simplification

This algebraic expression can be simplified by executing the multiplication operation: \(10 \times (-4) \times x = (-40) \times x\).

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Most popular questions from this chapter

Solve each equation by the method of your choice. \(\frac{x^{2}}{3}-\frac{x}{2}-\frac{3}{2}=0\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I solved \(-2 x+5 \geq 13\) and concluded that \(-4\) is the greatest integer in the solution set.

When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number.

Solve the equations using the quadratic formula. \(x^{2}+2 x=4\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}+17 x+16\)
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