8th Grade 2nd Round

• irrational, real

• rational, real

• integer, rational, real

• natural, whole, integer, rational, real

The two-way table shows students' favorite sport to watch on television. Which of the following statements is true?

• 73 males completed the survey.

• 52 males completed the survey.

• 4 more males completed the survey than females.

• 60 students total completed the survey.

Robert is ordering a taxi from an online taxi service. He has to pay a flat fee just to order the taxi, and then has to pay per mile, depending on how far he travels. He wrote an equation to represent his total cost, y = 4.5+1.5x, where y represents the total cost in dollars and cents, and x represents the number of miles he travels. What could the number 4.5 represent in the equation?

• The cost of

  $4.50 per mile.

• The flat fee of $4.50 to order the taxi.

• The total charge of $4.50 for 1 mile.

• The change in the total cost for every one additional mile traveled.

You are taking a road trip with your family, and according to your map, you have 275 miles to travel today. If you drive for 5 hours what is the average rate of change of your travel during the trip?

• 55 miles per hour

• 0.2 miles per hour

• 280 miles per hour

• 75 miles per hour

Bobby has just come up with an invention called FidoReader that allows him to read an animal's thoughts! He is excited to produce and sell this device. He calculates that the cost of production can be modeled with the following formula: C = 55x + 150, where x is the number of products produced and c is the cost to produce. If Bobby only has $800 to start producing his product, how many can he produce?

• 11

• 13

• 44150

• 12

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

Twice the sum of a number and 3.

• 2x+3

• 2x-3

• 2(x-3)

• 2(x+3)

The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest tenth of a unit if needed.

• 11.7

• 10.2

• 11

• 11.9

Determine how many solutions the following systems of equations has.

5x + 4y = −3

-15x - 12y = 9

• exactly one solution

• infinitely many solutions

• no solutions

• two solutions

Which of the following values of x would make this set of points a function?

(x, 4) (9, 4) (1, 2) (-3, 8) (-1, 7)

• None of these choices would make a function because two of the y values are already the same.

• x = -1

• x = 9

• x = 4