Word Problems - Algebra Equations

Front

What is a word problem in algebra?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the translation of the text into a mathematical equation to find a solution.

Front

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

Back

Identify the variables, translate the words into mathematical operations, and write an equation that represents the situation described.

Front

What does the variable represent in an equation?

Back

A variable represents an unknown quantity that can change or vary, often denoted by letters such as x, y, or z.

Tags

CCSS.6.EE.A.2B

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation by performing inverse operations.

Tags

CCSS.7.EE.B.4A

Front

How do you solve the equation 5b - 6 = 24?

Back

Add 6 to both sides to get 5b = 30, then divide both sides by 5 to find b = 6.

Tags

CCSS.7.EE.B.4A

Front

What is the equation for calculating total cost in a scenario with a fixed fee and variable cost?

Back

Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units).

Front

In the equation 10 + 7x = 24, what does x represent?

Back

x represents the cost of each pencil in the context of the problem.

Tags

CCSS.7.EE.B.4A

Front

How do you determine the growth of a tree from one year to the next?

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Subtract the initial height from the final height to find the growth: Growth = Final Height - Initial Height.

Tags

CCSS.HSF.BF.A.2

Front

What is the significance of the constant term in an equation?

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The constant term represents a fixed value that does not change, often indicating a starting point or initial condition.

Tags

CCSS.HSF.LE.B.5

Front

How do you interpret the solution of an equation in a word problem?

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The solution provides the value of the variable that satisfies the conditions of the problem, answering the question posed.

Tags

CCSS.7.EE.B.4A