Algebra Final Exam Review

Front

What is the equation to calculate the total cost of multiple items?

Back

The total cost can be calculated using the equation: c = (quantity1 * price1) + (quantity2 * price2) + ... + (quantityN * priceN).

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How do you solve a system of equations graphically?

Back

To solve a system of equations graphically, plot both equations on the same graph and identify the point(s) where they intersect. This point(s) represents the solution(s) to the system.

Front

What does a line of best fit represent in a scatterplot?

Back

A line of best fit represents the trend of the data points in a scatterplot, indicating the general direction of the relationship between the variables.

Front

What is the product of powers property in exponents?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

How do you calculate relative frequency from a frequency table?

Back

Relative frequency is calculated by dividing the frequency of a specific category by the total frequency: Relative Frequency = (Frequency of Category) / (Total Frequency).

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What is the definition of a variable in algebra?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value in mathematical expressions or equations.

Front

What is the difference between a linear equation and a non-linear equation?

Back

A linear equation represents a straight line when graphed and has the form y = mx + b, while a non-linear equation represents a curve and does not have this form.

Front

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

Back

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

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line given two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input, often represented as f(x).