Benchmark 2 Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.

Front

How do you calculate the slope between two points (-8, 6) and (-3, 0)?

Back

Slope = (y2 - y1) / (x2 - x1) = (0 - 6) / (-3 + 8) = -6/5.

Front

What is average speed?

Back

Average speed is the total distance traveled divided by the total time taken.

Front

If Coach Stanhope jogged 1 1/4 miles in 3/4 hour, how do you find his average speed?

Back

Average speed = Distance / Time = (1 1/4) / (3/4) = 1 2/3 miles per hour.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers.

Front

Evaluate the expression 4c + 3 if c = 3.

Back

4(3) + 3 = 12 + 3 = 15.

Front

What is a constant rate of change?

Back

A constant rate of change is a consistent change in the value of a function as the input changes, often represented as the slope in linear functions.

Front

How do you find the constant rate of change for ordered pairs?

Back

Constant rate of change = (y2 - y1) / (x2 - x1).

Front

What is the formula for evaluating a power expression like a^2b?

Back

To evaluate a^2b, substitute the values of a and b into the expression and perform the operations.

Front

Evaluate a^2b if a = 3 and b = -2.

Back

3^2 * (-2) = 9 * (-2) = -18.