StudySmarter AI is coming soon!

- :00Days
- :00Hours
- :00Mins
- 00Seconds

A new era for learning is coming soonSign up for free

Suggested languages for you:

Americas

Europe

Q7.

Expert-verifiedFound in: Page 80

Book edition
Common Core Edition

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

Pages
183 pages

ISBN
9780547587776

**S****implify the expression.$-7(2r+3)+11r$**

The simplified expression is $-3r-21$

In an algebraic expression, **terms** are separated by plus or minus signs.

The term **coefficient** refers to the number in front of the variable in any term of the expression.

A **constant **term is the number which have no variable associated with it.

**Like terms** are the terms which have identical variable parts with same exponent on it. Constants are considered to be like terms as well.

Distributive property: $a(b+c)=a\cdot b+a\cdot c$

To simplify the given expression $-7(2r+3)+11r$, first use the distributive property to remove the parenthesis as follows

$\begin{array}{c}-7(2r+3)+11r=-7\cdot \left(2r\right)-7\cdot \left(3\right)+11r\\ =-14r-21+11r\end{array}$

Now to simplify above expression further, group the like terms and combine them as shown below

$\begin{array}{c}-7(2r+3)+11r=-14r-21+11r\\ =-14r+11r-21\\ =(-14+11)r-21\\ =(-3)r-21\\ =-3r-21\end{array}$

Thus, the simplified expression is $-3r-21$

94% of StudySmarter users get better grades.

Sign up for free