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Chapter 5: Q7. (page 231)

Simplify $(2 a + 3 b) + (8 a - 5 b)$ .

Short Answer

Expert verified

The simplified value of expression is $10 a - 2 b$ .

Step by step solution

01

Step 1. Write down the given expression.

The given expression to simplify is $(2 a + 3 b) + (8 a - 5 b)$ .

02

Step 2. Simplify the given expression.

Simplifying $(2 a + 3 b) + (8 a - 5 b)$ gives,

$\begin{matrix} (2 a + 3 b) + (8 a - 5 b) = (2 a + 8 a) + (3 b - 5 b) \\ = 10 a + (- 2 b) \\ = 10 a - 2 b \end{matrix}$

03

Step 3. Conclusion.

The simplified value of expression is $10 a - 2 b$ .

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Most popular questions from this chapter

Simplify $x^{2} \cdot x^{8}$ assuming that no variable equal to .

Refer to Example 7 on page 225. The average distance from Earth to the Moon is about $3.84 \times 10^{8}$ meters. How long would it take a radio signal traveling at the speed of light to cover that distance?

Simplify ${(- 2 r^{2} s)}^{3} (3 r s^{2})$ assuming that no variable equal to 0 .

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WritinginMATH Answer the question that was posed at the beginning of the lesson.

Why is scientific notation useful in economics?

Include the following in your answer:

• the2000 national debt of $5, 674, 200, 000, 000$ and the U.S. population of $281, 000, 000$

both written in words and in scientific notation, and

• an explanation of how to find the amount of debt per person, with the

result written in scientific notation and in standard notation.

See all solutions

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