Exploring Word Problems with y=mx+b

The video tutorial introduces the slope-intercept form, y=mx+b, and demonstrates its application in solving real-life word problems. It covers four examples: a savings account, car payments, water and pizza costs, and cell phone expenses. Each example illustrates how to identify and plug in values for the variables in the equation to find the missing piece, emphasizing the importance of understanding the terms and operations involved.

What is the slope-intercept form of a linear equation?

• y = ax^2 + bx + c

• y = mx^2 + b

• y = a/x + b

• y = mx + b

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CCSS.8.F.A.3

CCSS.8.EE.B.6

In the equation y = mx + b, what does the variable 'm' represent?

• Total amount

• One-time cost

• Rate of change

• Time period

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CCSS.8.F.A.3

CCSS.8.EE.B.6

In the equation y = mx + b, what does the variable 'b' represent?

• Total amount

• One-time cost

• Time period

• Rate of change

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CCSS.HSF.LE.B.5

Angela opened a savings account with $250 and deposits $100 each month. How many months will it take her to save $2000?

• 15 months

• 17.5 months

• 20 months

• 18.5 months

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CCSS.HSF.BF.A.2

If Angela saves $2000 in 17.5 months, how many years and months is that?

• 1 year and 5.5 months

• 1 year and 4 months

• 2 years

• 1 year and 6 months

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CCSS.8.EE.C.7B

If a car costs $21,800 and you put $5000 down with monthly payments of $300, how many months will it take to pay off the car?

• 60 months

• 72 months

• 56 months

• 48 months

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CCSS.7.EE.B.4A

How many years and months will it take to pay off the car if it takes 56 months?

• 5 years

• 4 years and 8 months

• 4 years

• 4 years and 6 months

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CCSS.5.MD.A.1

Mary buys bottles of water at $2.20 each and a pizza for $11.99. If the total cost is $16.39, how many bottles of water did she buy?

• 3 bottles

• 1 bottle

• 4 bottles

• 2 bottles

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CCSS.7.EE.B.4A

If a cell phone upgrade costs $150 and the monthly payment is $50, how much will you have paid after 2 years?

• $1200

• $1800

• $1500

• $1350

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CCSS.HSF.BF.A.2

How many months are there in 2 years?

• 12 months

• 30 months

• 18 months

• 24 months

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CCSS.4.MD.A.1