Solving Equations & Word problems Review

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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.

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What are consecutive numbers?

Back

Consecutive numbers are numbers that follow each other in order, without any gaps. For example, 1, 2, and 3 are consecutive numbers.

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How do you represent the sum of three consecutive numbers algebraically?

Back

If the first number is x, the three consecutive numbers can be represented as x, x+1, and x+2. Their sum is 3x + 3.

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What is the first step in solving the equation 3(x - 1) = 2x + 9?

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The first step is to distribute the 3 on the left side: 3x - 3 = 2x + 9.

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

Back

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

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What does it mean if an equation has no solution?

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An equation has no solution if there are no values for the variable that can satisfy the equation.

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What is a word problem in mathematics?

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A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring interpretation and translation into mathematical expressions.

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How do you set up an equation from a word problem?

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Identify the unknowns, assign variables, and translate the relationships and conditions described in the problem into an equation.