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Chapter 6: Problem 41

In Exercises 41-62, simplify each algebraic expression. \(7 x+10 x\)

Short Answer

Expert verified
The simplified form of the algebraic expression \(7x + 10x\) is \(17x\).

Step by step solution

01

Identify like terms

The like terms in this algebraic expression are \(7x\) and \(10x\), because they both have the same variable, x.
02

Add like terms

When we add the coefficients of the like terms, we get \(7+10=17\). Therefore, \(7x + 10x = 17x\)

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Most popular questions from this chapter

Use FOIL to find the products. \((2 x-9)(7 x-4)\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. It's easy to factor \(x^{2}+x+1\) because of the relatively small numbers for the constant term and the coefficient of \(x\).

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}+7 x+2\)

In Exercises 73-80, solve each equation by the method of your choice. \(\frac{3 x^{2}}{4}-\frac{5 x}{2}-2=0\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(6 x^{2}-11 x+4\)
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