Chapter 2: Q4. (page 113)

Which expression is equivalent to $5 a + 8 - 2 (a + 4)$ ?
F. 3a H. $3 a + 4$
G. $3 a + 12$ I. $3 a + 16$

Short Answer

Expert verified

Value of given expression is $3 a$ .

Option F is correct.

Step by step solution

Step-1- Concept of Distributive property

According to the distributive property of multiplication, whenwe multiply a number with thesum of two or more addends, we get a result that is equal to the result that is obtained when we multiply each addend separately by the number,

$A \times (B + C) = A B + A C$ .

Step-2-Evaluating given expression

$5 a + 8 - 2 (a + 4)$

Using Distributive property,

$\begin{array}{l} 5 a + 8 - 2 (a + 4) = 5 a + 8 - 2 (a) - 2 (4) \\ 5 a + 8 - 2 (a + 4) = 5 a + 8 - 2 a - 8 \end{array}$

Grouping Like terms,

$\begin{matrix} 5 a + 8 - 2 (a + 4) = 5 a - 2 a + 8 - 8 \\ 5 a + 8 - 2 (a + 4) = 5 a - 2 a \\ 5 a + 8 - 2 (a + 4) = 3 a \end{matrix}$

Step-3-Conclusion

Therefore, the value of given expression is $3 a$ .

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Which expression is equivalent to $5 a + 8 - 2 (a + 4)$ ?
F. 3a H. $3 a + 4$
G. $3 a + 12$ I. $3 a + 16$

Short Answer

Step by step solution

Step-1- Concept of Distributive property

Step-2-Evaluating given expression

Step-3-Conclusion

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Which expression is equivalent to 5a+8-2a+4?F. 3a H. 3a+4G. 3a+12 I. 3a+16

Short Answer

Step by step solution

Step-1- Concept of Distributive property

Step-2-Evaluating given expression

Step-3-Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Applied Mathematics

Decision Maths

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Which expression is equivalent to $5 a + 8 - 2 (a + 4)$ ?
F. 3a H. $3 a + 4$
G. $3 a + 12$ I. $3 a + 16$