Solving Linear Equations in Word Problems

This video tutorial covers solving word problems using linear equations in both slope-intercept and standard forms. It includes examples such as calculating costs at a fair, kayaking expenses, truck depreciation, gas station purchases, concession stand pricing, school play ticket sales, and piggy bank savings. Each problem demonstrates how to identify constants and variables, set up equations, and solve for unknowns.

When should you use the slope-intercept form of a linear equation?

• When the problem involves a constant rate.

• When the problem gives a rate of change and a starting point.

• When the problem involves two different objects.

• When the problem requires solving for two variables.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

In the fair ride problem, what does the $5 admission fee represent?

• The total cost

• The slope

• The y-intercept

• The x-intercept

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CCSS.8.EE.B.5

How many rides can Evan go on if his parents give him $20?

• 35 rides

• 30 rides

• 40 rides

• 25 rides

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CCSS.6.EE.B.7

In the kayak rental problem, what does the $25 deposit represent?

• The slope

• The y-intercept

• The total cost

• The x-intercept

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CCSS.8.EE.B.5

How much does it cost Sally to rent the kayak for 3 hours?

• $45.50

• $50.00

• $50.50

• $55.00

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CCSS.HSF.LE.B.5

In the truck depreciation problem, what does the negative slope represent?

• The truck's increasing value

• The truck's decreasing value

• The truck's constant value

• The truck's initial value

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CCSS.HSF.LE.B.5

How many years will it take for the truck to be worth $5,135?

• 9 years

• 10 years

• 7 years

• 8 years

In the hotdog problem, what does the equation 2x + 3y = 19.05 represent?

• The cost of three hotdogs and two hamburgers

• The cost of two hamburgers and three hotdogs

• The cost of three hamburgers and two hotdogs

• The cost of two hotdogs and three hamburgers

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How much does each hotdog cost if hamburgers cost $5.25 each?

• $3.00

• $2.75

• $2.50

• $2.85

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CCSS.6.EE.B.7

If Caryn has 36 quarters, how many dimes does she have if the total value is $11.40?

• 24 dimes

• 25 dimes

• 26 dimes

• 27 dimes

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CCSS.8.EE.C.7B