Each dimension of a rectangular prism is tripled. How does the surface area of the new rectangular prism compare to the original surface area?
The new surface area is 12 times as great.
The new surface area is 9 times as great.
The new surface area is 6 times as great.
The new surface area is 3 times as great.
The two cylinders below have identical bases. Which statement is true?
The shorter cylinder has one-half the surface area of the taller cylinder for all values of x.
The shorter cylinder has the same surface area as the taller cylinder for some values of x.
The shorter cylinder has one-half the volume of the taller cylinder for all values of x.
The shorter cylinder has the same volume as the taller cylinder for some values of x.
You used an oven thermometer while baking and found out that the oven temperature varied between +7 degrees and −7negative 7 degrees from the setting. If your oven is set to 325°F,325 to the degrees , cap f comma let t be the actual temperature. What is the absolute value inequality that represents this situation?
|t−325|≥7vertical line t minus 325 vertical line greater than or equal to 7
|t−325|<7vertical line t minus 325 vertical line less than 7
|t−7|≤325vertical line t minus 7 vertical line less than or equal to 325
|t−325|≤7vertical line t minus 325 vertical line less than or equal to 7
A designer is designing a handbag. The height of the handbag must be between 16 in. and 18 in. The desirable height is 17 in. Which absolute value inequality represents the height of the handbag?
|h−16|≤1vertical line h minus 16 vertical line less than or equal to 1
|h−17|≤1vertical line h minus 17 vertical line less than or equal to 1
|h−17|≥2vertical line h minus 17 vertical line greater than or equal to 2
|h−18|≥2vertical line h minus 18 vertical line greater than or equal to 2
GRIDDED RESPONSE
The graph shows the amount of paint needed (in gallons) to paint the walls (in square feet) of an office building.
Amount of Paint
If the pattern continues, how many gallons of paint will be needed to paint 900 square feet?
What is the next term? 1, 4, 9, 16, …
What is the sum of the solutions of |2x+4|−6=8?vertical line 2 x plus 4 vertical line negative 6 equals 8 question mark
What is the value of 4x2+2x−14 , x squared , plus 2 x minus 1 when x=34?x equals , 3 fourths , question mark Express the answer as a decimal.
Short Response
The cost for taking a taxi is $1.80 plus $.10 per eighth of a mile. Write an expression for the cost of a taxi ride that is n miles long. Evaluate your expression to find the cost of a ride that is 4.5 miles long. Show all work.
A new 10-lb dumbbell will pass inspection if it is between 9.95 lb and 10.05 lb. What is the tolerance of the weight of the dumbbell? What absolute value inequality describes acceptable weights of the dumbbell within an indicated tolerance? Show all work.
Without calculating 56,square root of 56 comma compare 56square root of 56 and 7. Explain your answer.