Practice EOC Review

The volume of a sphere is given by V = (4/3)πr^3, where A is the surface area. What is the volume of a sphere with surface area 2π?

Answer explanation

The correct formula for the volume of a sphere is V = (4/3)πr^3. Given the surface area A = 2π, solve for r using A = 4πr^2, then substitute r into V = (4/3)πr^3 to find the volume.

• The frog population is growing exponentially.

• The frog population is declining exponentially.

• The frog population is growing at a constant rate.

• The frog population is declining at a constant rate.

Answer explanation

The frog population is growing exponentially because the population function is in the form of exponential growth, f(x)=0.0004(2)^x.

Graph y = |2x - 4|.

Tags

CCSS.HSA.CED.A.2

Which equation represents 2a - 3b = 6, solved for a?

Answer explanation

The correct equation is a=(6+3b)/2, which represents 2a - 3b = 6 solved for a.

• linear

• exponential

• quadratic

• square root

Answer explanation

The function f(x)=x^2-x+1 is a quadratic function because it contains a squared term (x^2) and a linear term (-x).

Which polynomial expressions are prime? Select all that apply.

Answer explanation

The prime polynomial expressions are those that cannot be factored further. The correct choices are x^2-81, x^2+121, and x^2-2x+15 as they cannot be factored into simpler polynomials.

Which quadratic function is shown in the graph?

Answer explanation

The correct quadratic function is y=3x^2-2x+8 because it matches the graph shown.

Jamal opened a savings account with $1500 that earns 1.2% simple interest monthly. What kind of function can be used to model the balance of the account x months after Jamal opened it?

• constant

• quadratic

• linear

• exponential

Answer explanation

The balance of the account increases by a fixed amount each month, making it a linear function.

Which inequality represents the graph?

• y < 3x - 2

• y ≤ 3x - 2

• y > 3x - 2

• y ≥ 3x - 2

Answer explanation

The correct inequality is y > 3x - 2 because the graph represents the area above the line, not including the line itself.

Which function has the greatest slope?

• f(x) = 3x

• g(x) = x + 9

• p(x) = 7

• q(x) = x

Answer explanation

The function with the greatest slope is f(x) = 3x because it has a slope of 3, which is greater than the slopes of the other functions.