Word Problems

Front

What is a word problem?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the reader to extract relevant information and formulate a mathematical equation to find a solution.

Tags

CCSS.8.EE.C.7B

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line in the format y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you identify variables in a word problem?

Back

Variables are typically identified by determining what quantities are changing or need to be solved for, often represented by letters such as x and y.

Tags

CCSS.6.EE.B.6

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change or the cost per unit in a real-world context, indicating how much one quantity changes in relation to another.

Tags

CCSS.8.EE.B.5

Front

How do you write an equation from a word problem?

Back

To write an equation from a word problem, identify the variables, determine the relationship between them, and express that relationship mathematically.

Front

What is the significance of the y-intercept in a word problem?

Back

The y-intercept represents the starting value or fixed cost in a real-world scenario, indicating the value of y when x is zero.

Tags

CCSS.HSF.LE.B.5

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Example of a word problem: A bike rents for $4 plus $1.50 per hour. Write the equation.

Back

y = 1.50x + 4

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

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Example of a word problem: You have $18 to spend on Uber Eats credits and hats. Write the equation.

Back

x + 2y = 18

Tags

CCSS.HSA.CED.A.3

Front

Example of a word problem: A taxi charges a flat rate of $3 plus $1.50 per mile. Write the equation.

Back

y = 1.50x + 3

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

Example of a word problem: A store sells sodas for $2 each and chips for $1.50 each. Write the equation.

Back

2x + 1.50y = 17.50

Tags

CCSS.HSA.CED.A.3