Quarterly Exam #2 Interactive Review

Front

What is the total cost equation for purchasing coffee mugs and keychains?

Back

Let x be the number of coffee mugs and y be the number of keychains. The equation is: 8.50x + 2.75y = 132.50.

Front

How do you find the number of terms in an arithmetic sequence?

Back

The number of terms can be found using the formula: n = (last term - first term) / common difference + 1.

Front

What is the formula for the slope-intercept form of a line?

Back

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

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you determine the common difference in an arithmetic sequence?

Back

The common difference (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

Front

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

Back

Coefficients represent the rate of change of the dependent variable with respect to the independent variable.

Front

How do you solve for a variable in a linear equation?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is the tangent of the angle (θ) it makes with the positive x-axis: m = tan(θ).