Algebraic Equations & Inequalities Review

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that asserts the equality of two expressions, typically involving variables and constants.

Front

How do you solve a simple linear equation?

Back

To solve a simple linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean to solve an inequality?

Back

Solving an inequality involves finding the values of the variable that make the inequality true, often resulting in a range of possible solutions.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

Front

How do you represent a maximum capacity problem using an inequality?

Back

You can represent a maximum capacity problem using an inequality by stating that the number of people present plus the number of additional people must be less than or equal to the maximum capacity.

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations on both sides of the equation until the variable is alone on one side.

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What does it mean to have a solution of b = 0 in an equation?

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Having a solution of b = 0 means that the value of the variable b that satisfies the equation is zero.

Front

How do you write an equation from a word problem?

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To write an equation from a word problem, identify the variables, constants, and relationships described in the problem, then translate them into a mathematical expression.

Front

What is the significance of coefficients in an algebraic expression?

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Coefficients are the numerical factors that multiply the variables in an algebraic expression, determining the weight of each variable's contribution.

Front

How do you check if a solution to an equation is correct?

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To check if a solution is correct, substitute the solution back into the original equation and verify if both sides are equal.