EQUATIONS AND PROBLEM SOLVING

The length of a rectangle is 3 in. more than its width. The perimeter of the rectangle is 30 in. What is the length of the rectangle?

• 9 inches

• 12 inches

• 6 inches

• 5 inches

The length of a rectangle is 8 in. more than its width. The perimeter of the rectangle is 24 in. What are the width and length of the rectangle?

• 3 in. and 11 in.

• 4 in and 12 in.

• 5 in and 13 in.

• 2 in. and 10 in.

Tags

CCSS.8.EE.C.8C

The width of a rectangle is one half its length. The perimeter of the rectangle is 54 cm. What are the width and the length of the rectangle?

• 5 cm and 10 cm

• 9 cm and 18 cm

• 7 cm and 14 cm

• 11 cm and 22 cm

Tags

CCSS.8.EE.C.7B

The sum of 4 consecutive integers is 290. what are the integers?

• 23, 24, 25, and 26.

• 65, 66, 67, and 68.

• 71, 72, 73, and 74.

• 81, 82, 83, and 84.

Tags

CCSS.8.EE.C.7B

The sum of four consecutive even integers is -4. What are the integers?

• -4, -2, 0, and 2

• -6, -4, -2, and 0

• -2, 0, 2, and 4

Tags

CCSS.8.EE.C.7B

The sum of 3 consecutive odd integer is 69. What are the integers?

• 19, 21, and 23

• 35, 37, and 39

• 21, 23, and 25.

Tags

CCSS.8.EE.C.7B

A moving van leaves a house traveling at an average rate of 50 mi/h. The family leaves the house half hour later following the same route in the car. They travel at average rate of 70 mi/h. How long it will take the car to catch up with the van?

• The car catches the van after traveling 1 hour.

• The car catches the van after traveling 1 hour and 15 minutes.

• The car catches the van after traveling 1 hour and 30 minutes.

• The car catches the van after traveling 1 hour and 45 minutes.

Tags

CCSS.HSA.CED.A.1

A jet leaves the Miami Int. Airport traveling at an average rate of 625 km/h. Another jet leaves the airport 3/4 hour later traveling at 750 km/h in the same direction. Make a chart and use an equation to find how long the second jet will take to overtake the first.

• The Jet 2 will take 4 hours and 30 minutes to over take the Jet 1
  

• The Jet 2 will take 4 hours and 45 minutes to over take the Jet 1
  

• The Jet 2 will take 3 hours and 45 minutes to over take the Jet 1

• The Jet 2 will take 3 hours and 15 minutes to over take the Jet 1
  

Valerie drives from Sweet Water to Coral Gables. Because of traffic conditions, she averages 25 mi/h. She returns to Sweet Water averaging 40 mi/h. The total travel time is 2 hours. Make a chart and solve an equation to find the time Valerie spends driving to Coral Gables.

• Valerie spends about 1 hour and 20 minutes driving to Coral Gables.

• Valerie spends about 1 hour and 14 minutes driving to Coral Gables.

• Valerie spends about 44 minutes driving to Coral Gables.

• Valerie spends about 1 hour and 30 minutes driving to Coral Gables.

An airplane flies from Miami to New York City, at an average rate of 345 mi/h. The airplane then returns to Miami at an average rate of 275 mi/h. The total travel time is 2 3/4 hours. Write and solve an equation to find the flying time from Miami to N.Y.

• The flying time from Miami to New York City is about 1 hour and 13 minutes.

• The flying time from Miami to New York City is about 2 hour and 10 minutes.

• The flying time from Miami to New York City is about 1 hour and 30 minutes.

• The flying time from Miami to New York City is about 1 hour and 45 minutes.

Tags

CCSS.7.EE.B.4A