NC Math 1 Midterm Review

Front

What is the function to determine the number of members x months after a club began with 4 members, where each member brings one new member each month?

Back

y = 4(2)^x

Front

Given the functions f(x) = (1/2)(2)^x and g(x) = 3x + 1, what is the largest integer value of x such that f(x) < g(x)?

Back

4

Front

Identify the slope of the equation y = 4x + 2.

Back

4

Front

What is the number of possible solutions for the equations x + 10y = 20 and x + 10y = -50?

Back

no solutions

Front

What is the value of the x-coordinate in the system of equations x + 2y = -3 and x - y = -12?

Back

-9

Front

Define a linear function.

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of the equation y = 3x + 5?

Back

5

Front

Explain what it means for two lines to be parallel.

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the difference between one solution, no solutions, and infinite solutions in a system of equations?

Back

One solution means the lines intersect at one point, no solutions means the lines are parallel and never intersect, and infinite solutions mean the lines are the same line.