Semester Exam

Front

What is the result of the operation (7r-6)(7r+6)?

Back

49r^2 - 36

Front

What does the equation y = \frac{2}{3}x - 3 represent graphically?

Back

A linear function with a slope of \frac{2}{3} and a y-intercept of -3.

Front

How do you determine the slope of a line from its equation?

Back

The slope is the coefficient of x in the equation of the line.

Front

What does the equation y = f(x - 4) indicate about the graph of f(x)?

Back

The graph shifts right by 4 units.

Front

Write the function notation for Nicole's babysitting charges if she charges a flat fee of $3 plus $5 per hour.

Back

m(x) = 5x + 3

Front

What is the definition of a linear function?

Back

A function that can be graphically represented as a straight line.

Front

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

Back

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

Set x = 0 and solve for y.

Front

What is the significance of the slope in a linear equation?

Back

It represents the rate of change of y with respect to x.

Front

What does a negative slope indicate about a line?

Back

The line decreases as it moves from left to right.