howcanyou use two-step equations to represent and solve realworldproblems?

Question

Solving two-step equations go math module quiz.

 

Answer 1

Two‑step equations work because most real‑world situations follow a pattern: A few generic examples below.

1. Starting amount
2. + or – a change that repeats (per hour, per mile, per day, per item)
3. = final amount

That structure becomes a two‑step equation.

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Example: Cost of Owning a Car

You have:

- A fixed cost (insurance, registration)

- A variable cost (gas per mile, maintenance per month)

If your monthly cost is $120 insurance plus $0.15 per mile, and your total cost this month was $255:

[0.15m + 120 = 255]

Subtract 120 → 135

Divide by 0.15 → 900 miles

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Example: Speed / Distance

Distance = speed × time + starting distance

If you already walked 1 mile and then walk 3 miles per hour for t hours, ending at 10 miles:

[3t + 1 = 10]

Subtract 1 → 9

Divide by 3 → 3 hours

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Example: Weight Change Over Time

Weight change often follows:

Starting weight + (change per week × weeks) = current weight

If someone starts at 150 lbs, gains 2 lbs per week, and now weighs 164:

[2w + 150 = 164]

Subtract 150 → 14

Divide by 2 → 7 weeks

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Example: Saving or Spending Money

Start with some money, add or subtract a repeated amount.

If you start with $40 and spend $6 each day, and now have $4:

[40 - 6d = 4]

Subtract 40 → –36

Divide by –6 → 6 days.