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Match each scenario with the equation that can be used to solve it.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Darius is 38 years old. In 4 years he will be 3 times as old as Gia. How old is Gia?
I think of a number, multiply it by 3 and then add four to get 42. What number am I thinking of?
Lucia goes to the art store and spends $38. She buys a canvas for $20 and some new paints. If each paint cost $3, how many did she buy?
Chelsea owes her mom $38. She starts paying her mom back $4 per week. After some weeks, she realizes she only owes her mom $2 more. How many weeks has she been paying her mom back?
A rectangle has a length of 4 units and a width of x + 3 units. If the area is 42, what is the value of x?
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3x + 4 = 42
4x + 2 = 38
3 (x + 4) = 42
3x + 20 = 38
4 (x + 3) = 42

1 answer

Here are the matchings for each scenario with the corresponding equation:

  1. Darius is 38 years old... How old is Gia?
    Equation: 3(x + 4) = 42 (This represents Darius' age in 4 years being three times Gia's age.)

  2. I think of a number, multiply it by 3 and then add four to get 42. What number am I thinking of?
    Equation: 3x + 4 = 42 (This represents the number multiplied by 3 and added to 4 resulting in 42.)

  3. Lucia goes to the art store... How many did she buy?
    Equation: 3x + 20 = 38 (Lucia's total cost for paints plus the canvas equals $38.)

  4. Chelsea owes her mom $38... How many weeks has she been paying her mom back?
    Equation: 4x + 2 = 38 (This reflects Chelsea's total remaining debt after paying back $4 for x weeks.)

  5. A rectangle has a length of 4 units and a width of x + 3 units... what is the value of x?
    Equation: 4(x + 3) = 42 (This expresses the area of the rectangle being 42.)

So, the final matches would be:

  • Darius and Gia: 3(x + 4) = 42
  • Number problem: 3x + 4 = 42
  • Lucia's art store: 3x + 20 = 38
  • Chelsea's debt: 4x + 2 = 38
  • Rectangle area: 4(x + 3) = 42