SC EOCP Released Items

SC EOCP Sample Items

by Susan Johnson

Multiple Choice

The density of an object is related to its mass and volume. The equation below shows the relationship between density (d), mass (m), and volume(V).

$$d=\frac{m}{V}$$  

Which equation represents the volume of an object in relation to its density and mass?

• $$V=d-m$$  

• $$V=dm$$  

• $$V=\frac{d}{m}$$  

• $$V=\frac{m}{d}$$  

Multiple Choice

Emilio is given the triangle shownEmilio represents the perimeter of the triangle with the equation (5w – 13) + (2w + 6) + 2(5w + 15) = P, where P is the perimeter of the triangle. Which equation is correctly solved for

• $$w=\frac{P-23}{17}$$  

• $$w=\frac{P+49}{17}$$  

• $$w=\frac{P-8}{17}$$  

• $$w=\frac{P+34}{17}$$  

Multiple Choice

Kaylee is building a rectangular enclosure with an area of 90 square yards. She wants the length of the enclosed area to be 6 yards longer than the width, x. To represent this, she writes the equation x 2 + 6x = 90. She then completes the square to help solve her equation for x. Which equation is equivalent to Kaylee’s equation after she completes the square

• $$\left(x+3\right)^2=93$$  

• $$\left(x+3\right)^2=99$$  

• $$\left(x+6\right)^2=96$$  

• $$\left(x+6\right)^2=126$$  

Multiple Choice

Amil is given the equation shown.

$$x^2+14x+37=0$$  

He completes the square and rewrites the given equation. Which equation is equivalent to the given equation?

• $$\left(x+7\right)^2-12=0$$  

• $$\left(x-7\right)^2-12=0$$  

• $$\left(x+7\right)^2+12=0$$  

• $$\left(x-7\right)^2+12=0$$