Fall Semester Review

Front

Evaluate f(-2) if f(x) = x + 3

Back

f(-2) = -2 + 3 = 1

Front

Determine if the graph is a function.

Back

A graph is a function if every input (x-value) has exactly one output (y-value). If a vertical line intersects the graph more than once, it is not a function.

Front

Given h(x) = 5 - 9x, find h(8).

Back

h(8) = 5 - 9(8) = 5 - 72 = -67

Front

Which system of equations is represented by the graph shown?

Back

The system represented is y = x + 1 and y = -x - 3.

Front

Select the system of equations that represents Charlie's shopping trip: He bought silver rings at $5 each and silver bracelets at $8 each, totaling 19 items and $131.

Back

The system is: r + b = 19 and 5r + 8b = 131.

Front

What is a function?

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

Front

What is the difference between a linear function and a nonlinear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a nonlinear function does not.