FALL 2024 Semester Review

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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.

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

Back

Identify the variables, translate the relationships into equations, and ensure the equations reflect the conditions given in the problem.

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What does the equation 4n + 3p = 22 represent in a word problem?

Back

It represents the total cost of 4 notebooks (n) and 3 pens (p) being equal to $22.

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What is the purpose of solving a system of equations?

Back

To find the values of the variables that satisfy all equations in the system simultaneously.

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How can you determine the price of an item using a system of equations?

Back

By setting up equations based on the total costs from different purchases and solving for the variables representing the prices.

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

Back

Coefficients represent the rate of change or the amount of each variable in the equation.

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What does the term 'inequality' mean in mathematics?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

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How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a boundary line, then shade the region that satisfies the inequality.

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What does the equation 2x + y = 4 represent?

Back

It represents a straight line on a graph where y can be expressed in terms of x.

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.