Equations and Problem Solving

The width of a rectangle is 3 in. less than its length. The perimeter of the rectangle is 26 in. What is the width of the rectangle?

• 8 in.

• 5 in.

• 4 in.

• 6 in.

The sum of three consecutive integers is 72. Find the integers.

• 21, 22, 23

• 25, 26, 27

• 23, 24, 25

• 20, 21, 22

Two airplanes depart from an airport traveling in opposite directions. The second airplane is 200 miles per hour faster than the first. After 2 hours they are 1100 miles apart. Find the speeds of the airplanes.

• 175 mi/h; 375 mi/h

• 350 mi/h; 550 mi/h

• 375 mi/hr; 575 mi/hr

• 100m mi/hr. 300 mi/hr

Three friends were born in consecutive years. The sum of their birthdays is 5982. Find the year in which each person was born.

• 1994, 1995, 1996

• 1992, 1993, 1994

• 1994, 1996, 1998

• 1993, 1994, 1995

Find the unit rate of $57 for 6 hours

• $9.50/hr

• .63 /hr

• $7/hr

• $9/hr

A 10-oz bottle of shampoo costs $2.40 and a 12-oz. bottle costs $2.64. Find the unit rate for each. Which bottle has the lower unit cost?

• $.26/oz; .$24/oz; 10-oz

• $.24/oz; $.22/oz.; 10 oz.

• $.20/oz; $.24/oz; 12-oz,

• $.24/oz, $.22/oz; 12-oz.

Two students are preparing for a marathon. Hector ran 8 miles in 85 minutes. Mario ran 6 miles in 55 minutes. Who has the faster average speed?

• Mario

• Hector

• They are the same

• Mrs. Morgan

A canary's heart beats 200 times in 12 seconds. Use a proportion to find how many times its heart beats in 42 seconds.

• 420

• 700

• 504

• 2.52

Express the follow rate in miles per hour: 1 mile in 300 seconds.

• 5 mi/hr

• 8 mi/hr

• 12 mi/hr

• 10 mi/hr

A flagpole casts a shadow 102 ft. long. A man 6 ft. tall casts a shadow 17 feet long. How tall is the flagpole?

• 36 ft.

• 289 ft.

• 612 ft.

• 8 ft.