NC Math I EOC Review

Which choice is the graph of y = (4 – x)(x + 2)?

In which graph does the shaded region represent the solution set for the inequality

shown below?

2x – y < 4

Which expression is equivalent to (x + 2)(3x – 3)?

A line, y = mx + b, passes through the point (1, 6) and is parallel to

y = 4x + 6. What is the value of b?

(a)  

Two functions are shown below.

$$f\left(x\right)=\frac{1}{2}\times2^x$$

g(x) = 5x + 2

What is the largest integer value of x such that f(x) ≤ g(x)?

(a)  

A company models its net income, in thousands of dollars, with the

function $$f\left(x\right)=9x^2-54x-144$$ , where x is the number of units of its product sold.

How many units of its product does the company need to sell in order for the net

income to equal $0?

(a)  

Joanna has a total of 50 coins in her purse.

• The coins are either nickels or quarters.

• The total value of the coins is $7.10.

Which system of equations can be used to determine the number of nickels, n, andquarters, q, that Joanna has in her purse?

The function f(x) = –0.25x + 5 models the height of a candle x seconds after it is

lit. What is the meaning of the y-intercept of the function?

The total cost, in dollars, of membership in a fitness center is given by the

function c(m) = 20m + 40, where m is the number of months a person is a

member. In dollars, how much is the cost of a membership for 1 year?

(a)  

Water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.

• The depth of the water is increasing linearly.

• At 1:30 p.m., the water depth was 2.4 feet.

• It is now 4:00 p.m., and the depth of the water is 3.9 feet.

What will the depth (in feet) of the water be at 5:00 p.m.?

(a)