Semester Final Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect on a graph.

Front

How do you represent a system of equations from word problems?

Back

Identify the variables, translate the problem into equations based on the relationships described, and express them in standard form.

Front

What does the equation 4x + 6y = 13 represent in a word problem?

Back

It represents a relationship between two variables, where 'x' could be the number of apples and 'y' the number of bananas, with the total cost being $13.

Front

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

Back

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

Front

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

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What does the term 'depreciation' mean in financial contexts?

Back

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

Front

How do you calculate the depreciation of an asset?

Back

Depreciation can be calculated using the formula: Depreciation = Initial Value × Depreciation Rate.

Front

What is the initial value of an asset?

Back

The initial value is the original cost of the asset before any depreciation is applied.

Front

What does the expression 20x^4y ÷ (5x^3/y^2) simplify to?

Back

The expression simplifies to 4xy^3.

Front

What is the significance of the y-intercept 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.