Intermediate Algebra (11th edition)

CHAPTER 2 Review Exercises 129

33.An automobile averaged 45 mph for the first part of a trip and 50 mph for the second part.
If the entire trip took 4 hr and covered 195 mi, for how long was the rate 45 mph?

34.An 85-mi trip to the beach took Susan Frandsen 2 hr. During the second hour, a rainstorm
caused her to average 7 mph less than she traveled during the first hour. Find her average
rate for the first hour.

35.Find the measure of each angle in the
triangle.

36.Find the measure of each marked angle.

(3x + 7)°

(9x – 4)°

(4x + 1)°

(15x + 15)° (3x + 3)°

2.5 Solve each inequality. Express the solution set in interval form.

37. 38.

39. 40.

41. 42.

Solve each problem.

43.The perimeter of a rectangular play-
ground must be no greater than 120 m.
One dimension of the playground must be
22 m. Find the possible lengths of the
other dimension of the playground.

44.A group of college students wants to buy
tickets to attend a performance of The Lion
King at the Overture Center for the Arts in
Madison, Wisconsin. They selected mid-
balcony seats and were able to get a group
rate of $48 per ticket for 15 tickets or more.
If they have $1600 available to spend on
tickets and they qualify for a $50 group dis-
count along with the group ticket price, how
many tickets can they purchase?

45.To pass algebra, a student must have an average of at least 70 on five tests. On the first
four tests, a student has scores of 75, 79, 64, and 71. What possible scores on the fifth test
would guarantee the student a passing grade in the class?

46.Concept Check While solving the following inequality, a student did all the work cor-
rectly and obtained the statement The student did not know what to do at this
point, because the variable “disappeared,” so he gave as the solution set.
WHAT WENT WRONG?

2.6 Let and Find each set.

47.A ̈B 48.A ̈C 49.B ́C 50.A ́C

A= 5 a, b, c, d 6 ,B= 5 a, c, e, f 6 , C= 5 a, e, f, g 6.

10 x+ 21 x- 42612 x- 13

5 - 8, - 136

- 8 6-13.

5

3

1 x- 22 +

2

5

8 ... 3 x- 1614 1 x+ 1271

5 - 16 - 4 x 2 Ú 2 x- 7

6 x+ 3

• 4

6- 3

• 
  
  
  
  • 5 x- 4 Ú 11
  
  
  
  

2

3

x 66

22 m