March MATHness Grade 8 Week 3

A sphere with a diameter of 12 inches is shown. Enter the volume of the sphere, in cubic inches. Round your answer to the nearest hundredths place.

• 903.42

• 904.30

• 904.319

• 904.32

Andrew wants to order shirts with the Nike logo. Nike Community Store charges $5 per shirt plus a set up fee or $21. Nike Outlet Store charges $8 per shirt. Enter the number of shirts it will take for the cost to be the same for each store. (Do NOT label, just enter the number)

• There is no solution.

• There are infinitely many solutions.

• There is exactly one solution at (13,1).

• There is exactly one solution at (5,2).

Find the value of x.

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Lourdes is solving the following linear equation  6x + 2 – 3x = 18 + 3x – 16.

       Her final two steps are:

          3x + 2 =  2 + 3x

                 2 = 2

  Select the statement that correctly interprets Lourdes’ solution.

• There is no solution since 2 = 2 is a true statement.

• There are infinitely many solutions since 2 = 2 is a true statement.

• The solution is the ordered pair (2, 3).

• The solution is the ordered pair (2, 2)

Consider the function represented by this table of values

Which function could have produced the values in the table?

• y=-3x-3

• y=-3x-9

A triangle is shown below. Amanda claims that the Pythagorean Theorem can be used to solve for the missing length x.

• No, Amanda’s claim is incorrect because the Pythagorean Theorem can only be used when the side lengths of a triangle are square numbers.

• No, Amanda’s claim is incorrect because the Pythagorean Theorem can only be used with a right triangle.

• Yes, Amanda’s claim is correct because the pythagorean Theorem can be used to find the missing side of any triangle

• Yes, Amanda’s claim is correct because the Pythagorean Theorem can be used with any triangle that is approximately right.