Writing Inequalities & Equations 8.8A

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

How do you represent a situation with an inequality?

Back

You represent a situation with an inequality by identifying the relationship between quantities and using symbols such as <, >, ≤, or ≥ to express that relationship.

Front

What is the purpose of writing equations in application problems?

Back

The purpose of writing equations in application problems is to model real-world situations mathematically, allowing for the calculation of unknown values.

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What does 'x' typically represent in equations?

Back

In equations, 'x' typically represents the variable or unknown quantity that we are trying to solve for.

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How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations such as addition, subtraction, multiplication, or division.

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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, which can be solved simultaneously to find the values of the variables.

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What is the significance of the initial fee in a cost comparison problem?

Back

The initial fee is significant in cost comparison problems because it affects the total cost over time, influencing the point at which two options become equal.

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How do you determine the point of equality in cost problems?

Back

To determine the point of equality in cost problems, set the cost equations for each option equal to each other and solve for the variable.

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What is the meaning of 'leaking' in the context of a water tank problem?

Back

In the context of a water tank problem, 'leaking' refers to the loss of water at a specified rate over time, which affects the total amount of water remaining in the tank.