Algebra Class 10 Quiz on Word Problems

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Questions and Answers

What is the flat rate charged by the delivery service?

  • $4
  • $3
  • $11 (correct)
  • $2

At what point in the long run will Zoon and Drew have the same amount of money?

  • The same amount of money will be when both have completed the same number of chores.
  • Zoon will have more money.
  • We need more information to determine this. (correct)
  • They will never have the same amount of money.

What does the $11 cost in the shipping company example represent?

  • The cost per pound for shipping the package
  • The total cost of shipping a package
  • The cost of the package.
  • The shipping company's flat rate charge (correct)

In problem 2, how much more money does Bekir start with than Drew?

<p>$4 (D)</p> Signup and view all the answers

In problem 2, if Bekir completes 4 chores and Drew completes 4 chores, how much money would Bekir have?

<p>$24 (B)</p> Signup and view all the answers

In problem 2, if Bekir completes 5 chores and Drew completes 5 chores, how much more money will Bekir have compared to Drew?

<p>$16 (B)</p> Signup and view all the answers

In problem 3, a package can be shipped for $2 per pound, with no flat rate. Alternatively, the shipping cost is a flat rate of $6 plus $12 per pound. At what weight, in pounds, will the shipping cost be the same for both options?

<p>0.6 pounds (D)</p> Signup and view all the answers

In problem 3, if a package weighs 3 pounds, what is the lowest cost to ship?

<p>$6 (B)</p> Signup and view all the answers

How much money will Zeke have after completing 3 chores?

<p>$10 (D)</p> Signup and view all the answers

What is the maximum number of chores Drew can complete to have the same amount of money as Zeke after Zeke completes 2 chores?

<p>2 (A)</p> Signup and view all the answers

What is the flat shipping rate charged by Fed-Up?

<p>$4 (B)</p> Signup and view all the answers

How many pounds does a package need to weigh for Fed-Up and UPX to charge the same delivery cost?

<p>3 pounds (C)</p> Signup and view all the answers

What is the cost of shipping a package weighing 3 pounds with UPX?

<p>$7 (C)</p> Signup and view all the answers

How much does the person earning the most per chore earn for each chore completed?

<p>$3 (B)</p> Signup and view all the answers

If both individuals want to have the same amount of money, how much does the first person need to earn for each chore completed to match the second person after 5 chores?

<p>$5 (D)</p> Signup and view all the answers

What is the rate of pay for the person who earns the least per chore completed?

<p>$1 (D)</p> Signup and view all the answers

If the person earning $3 completes 6 chores, how much money do they earn?

<p>$18 (A)</p> Signup and view all the answers

What would be the total amount earned by the person earning $1 after 10 chores?

<p>$10 (C)</p> Signup and view all the answers

Flashcards

Equation for money earned

A mathematical equation that represents the relationship between the number of chores completed and the total amount of money earned.

Solution to an equation

The solution to an equation, which is the value that makes the equation true.

Number of chores

The number of chores that need to be completed for Bekir and Drew to have the same amount of money.

Total money

The total amount of money that Bekir and Drew will have after completing the same number of chores.

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Break-even point

The point where the cost of two different shipping options is the same.

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Earnings per chore

The amount of money earned for each chore completed.

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Graph

A visual representation of the relationship between two quantities, in this case, number of chores and total earnings.

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Point of Intersection

The point on a graph where two lines intersect, representing the same value for both quantities.

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Number of Chores for a Target Amount

The number of chores a person needs to complete to earn a specific amount of money.

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Total Earnings

The total amount of money earned by completing a certain number of chores.

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Equal earnings point (chores)

The number of chores completed by Zeke and Drew for which their total earnings are equal.

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Intersection Point

The point where two lines intersect on a graph represents the solution when two variables are equal. In this case, the intersection point will tell us the number of chores needed for Zoon and Drew to have the same amount of money.

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Total earnings at the equal earnings point

The total amount of money Zeke and Drew will each have after completing the number of chores that leads to equal earnings.

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Shipping Cost Equation

The cost of shipping a package is determined by a fixed fee plus an additional fee per pound. This type of cost calculation involves a constant value (fixed fee) and a variable value (price per pound).

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Equal cost point (weight)

The weight of a package for which Fed-Up and UPX charge the same delivery fee.

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Comparing Shipping Costs

Comparing the cost of two different services involves subtracting the cost of one service from the other. This tells you whether one service is cheaper or more expensive than the other.

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Flat rate

The flat rate charged by a delivery service for a package, regardless of its weight.

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Equal Money Point

The number of chores needed for both people to have the same amount of money is represented by the point on a graph where the two cost lines intersect. This point shows the equal value they both have after completing those chores.

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Additional Cost

The additional cost for a 5-pound package at one shipping company compared to another is calculated by subtracting the cost of the cheaper company from the cost of the more expensive company.

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Per-pound charge

The additional amount charged by a delivery service for each pound of the package weight.

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