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7th Grade Math Topic 1 Review

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  • An astronaut is returning to Earth in a spacecraft. If the spacecraft is descending at a rate of 13.81 kilometers per minute, what will be its change in height after 5 1/2 minutes? Round your answer to the nearest kilometer.
    –76 km
  • A marathon is 26.2 miles long. There is a water station every 1 1/4 miles along the race route. How many water stations are needed for this marathon?
    21
  • Javier had $305 in his bank account. His bank charges a fee of $7.50 each month. If he makes no other deposits or withdrawals, how much money is in Javier’s account at the end of three months?
    305 - 7.50(3) = $282.50
  • Four out of nine dogs weigh less than 20 pounds. What is the decimal equivalent for the number of dogs weighing less than 20 pounds?
    o.4444...
  • What is an irrational number?
    A number that never terminates or repeats.
  • Andy is scuba diving. He starts at sea level and then descends 10 feet in 2 1/2 minutes. If he continues at this rate, where will Andy be in relation to sea level after 6 minutes?
    -24 feet
  • A catering company loses $110 as a result of a delay. The 5 owners of the company must share the loss equally. Write an expression to represent each owner's share of the loss?
    –110 ÷ 5
  • Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses? Explain.
    Yes; The numbers combine to zero.
  • In the first round of a card game, Niki scored 20 points. Then, she lost 10 points on one turn and an additional 25 points on her final turn. What is Niki’s final score?
    -15
  • Carl and Cameron are at a pool. Carl dives in and touches the bottom of the pool, 15 feet below the surface. Cameron is standing on a diving platform 2 feet above the surface. What is the distance between Carl’s hand and Cameron’s feet?
    17
  • Andy is scuba diving. He starts at sea level and then descends 10 feet in 2 1/2 minutes. Part A How would you represent Andy’s descent as a unit rate? Express your answer as an integer.
    -4 feet per minute
  • What is a rational number?
    A number that either terminates or repeats