NC Math 1 EOC Review: Equations, Inequalities and Functions

Front

Solve for x: -2(-7x + 1) = 5x + 34

Back

x = 4

Front

The total cost, in dollars, of a membership at a fitness center is given by the function C(m) = 20m + 40. How much would it cost for a membership for 1 year?

Back

$280

Front

What is the appropriate domain for the function y = 45x + 6, where a person can purchase up to 8 tickets?

Back

0 ≤ x ≤ 8, where x is an integer

Front

If the function f(x) = 2x + 8 represents the cost to ride x roller coasters, how much more money do you need to ride 9 roller coasters if you have $22?

Back

$4

Front

What is the value of g(30) for the function g(x) = 19.60 + 1.74x?

Back

71.8

Front

What is an equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

Define a function in mathematical terms.

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).