Semester Final Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Front

How do you find the slope from an equation in standard form?

Back

Convert the equation to slope-intercept form (y = mx + b) where m is the slope.

Front

What does depreciation mean in financial terms?

Back

Depreciation is the reduction in the value of an asset over time, often due to wear and tear.

Front

What is the formula for calculating depreciation?

Back

Depreciation = Initial Value × Depreciation Rate × Time.

Front

How can you represent a word problem as a system of equations?

Back

Identify variables for unknowns, translate the relationships and conditions into equations.

Front

What is the slope of the line represented by the equation 4x + 2y = 12?

Back

The slope is -2.

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

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into each equation; if all equations are satisfied, it is a solution.

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

What does it mean for a line to be increasing or decreasing?

Back

An increasing line has a positive slope, while a decreasing line has a negative slope.