8th grade common core review

Which ordered pair could be removed to make the set a function?

{(1,3), (2,4), (3,4), (3,6), (5,10), (6,3)}

• (2,4)

• (3,4)

• (1,3)

• (6,3)

Which graph represents a linear function of x?

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At a factory, the cost of making different numbers of toothbrushes is shown in the table below.

A linear function models the cost based on the number of toothbrushes made. Which statement about the rate of change of this function is true?

• The cost increases by $1.50 for each additional toothbrush made.

• The cost increases by $4.50 for each additional toothbrush made.

• The cost increases by $9.00 for each additional 3 toothbrushes made

• The cost increases by $18.00 for each additional 3 toothbrushes made.

A company makes two different-sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The larger cones are 5.1 inches tall and have a diameter of 4.5 inches. About how much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone?

• 18.8

• 56.4

• 75.2

• 225.5

Chris and Sam earn money shoveling snow, as described below.

The amount of money Chris earns can be modeled by the equation y=8.25x, where y is the total amount of money, in dollars, earned in xhours.

The table below shows the relationship between the total amount of money earned, y, in dollars, and the total amount of time worked, x, in hours, for Sam.

Which statement correctly compares the rates at which Chris and Sam earn money shoveling snow?

• Sam earns $0.75 more per hour than Chris.

• Chris earns $0.75 more per hour than Sam

• Sam earns $0.25 more per hour than Chris.

• Chris earns $0.25 more per hour than Sam.

Which equation represents a function of x that is not linear?

Which equation represents the line shown on the coordinate plane below?

Triangle A and triangle B are graphed on the coordinate plane below.

Which sequence of transformations will map triangle A onto its congruent image, triangle B ?

• a reflection over the x-axis, then a reflection over the y-axis

• a translation 8 units down, then a reflection over the y-axis

• a reflection over the x-axis, then a translation 6 units to the left

• a rotation 90 degrees clockwise about the origin, then a translation 6 units to the left