Unit 5B EOC Review

Joe counts 250 peach trees on 25% of the land he owns. He determines that there are 10 trees for every 1,000 square feet of land. Recall that 1 acre is 43,560 square feet.

About how many acres of land does Joe own?

• 2.3 acres

• 10 acres

• 43.56 acres

• 2,500 acres

A square pyramid is packaged inside a box as shown in the figure.

The space inside the box around the pyramid is then filled with protective foam. About how many cubic inches of foam is needed to fill the space around the pyramid?

• 8 in³

• 41 in³

• 83 in³

• 125 in³

Given the points P (2, -1) and Q (-9, -6), what are the coordinates of the point on directed line segment PQ that partitions PQ in the ratio 3 to 2.

• ( -23/5, -4)

• (-12/5, -3)

• (5/3, 8/3)

• (-5/3, -8/3)

Which equation is an equation of a line that is perpendicular to line a in the pictured graph and passes through the point (-4, 0)?

• y = -1/2 x + 2

• y = -1/2 x +8

• y = 2x - 2

• y = 2x + 8

Which equation would be used in proving that the diagonals of parallelogram ABCD bisect each other?

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Triangle ABC has vertices as shown.

What is the area of the triangle?

• √72 square units

• 12 square units

• √288 square units

• 24 square units

The square has vertices as shown in the figure.

Which measure is the closest to the perimeter of square WXYZ?

• 20 units

• 25.6 units

• 32 units

• 40.9 units

What are the coordinates of a point that lies along the directed line segment from Q (2, 5) to R (7, 12) and partitions the segment in the ratio 3:2?

• (3, 4.2)

• (4.5, 8.5)

• (5, 9.2)

• (5, 7)

What is the equation of the line that is perpendicular to y = 1/2 x - 6 and passes through the point (6, 4)?

• y = -1/2 x +1

• y = -1/2 x + 7

• y = -2x - 8

• y = -2x + 16

What proves that figure ABCD is a parallelogram?

• Diagonal BD bisects angle ABC

• Side AB is equal to diagonal AC

• Diagonals BD and AC bisect one another

• Diagonal BD is greater than diagonal AC