Evan and Peter have a radio show which consists of 2 segments. They need 4 less than 11 songs in the first segment. In the second segment, they need 5 less than 3 times the number of songs in the first segment.
Part A
Write an expression for the total number of songs they need for their show.
A.
(
11
−
4
)
+
3
×
11
−
4
−
5
B.
(
11
−
4
)
+
3
×
(
11
−
4
)
−
5
C.
(
11
−
4
)
+
3
−
4
×
11
−
5
D.
(
11
−
4
)
+
3
−
5
×
(
11
−
4
)
Part B
Evaluate the expression.
A.
39 songs
B.
31 songs
C.
25 songs
D.
23 songs
Part A:
B. (11 - 4) + 3 × (11 - 4) - 5
Part B:
B. (11 - 4) + 3 × (11 - 4) - 5 = 31 songs
Part A: The expression for the total number of songs Evan and Peter need for their show is:
(11 - 4) + (3 × (11 - 4)) - 5
Option B is the correct expression.
Part B: Evaluate the expression:
(11 - 4) + (3 × (11 - 4)) - 5
Simplifying the expression:
7 + (3 × 7) - 5
7 + 21 - 5
28 - 5
The answer is 23 songs. So, option D is the correct answer.