7th Grade Math

(Marvins-Underground-K-12) #1

Test PracticeT


280 Proportions and Similarity


  1. REASONING A powdered drink mix calls for a ratio of powder to water
    of 1 : 8. If there are 32 cups of powder, how many total cups of water
    are needed? Explain your reasoning.


CHALLENGE Solve each equation.



  1. _ 32 = _x 18 + 5 25. x^10 -^4 = 57 26. 17 4.5- (^) x = ^38




  2. E WRITE MATH Explain why it might be easier to write an equation to
    represent a proportional relationship rather than using a proportion.




  3. BABYSITTING Brenna charges $15, $30, $45, and $60 for babysitting 1, 2, 3,
    and 4 hours, respectively. Is the relationship between the number of
    hours and the amount charged proportional? If so, find the unit rate.
    If not, explain why not. (Lesson 1C)




Find each unit rate. Round to the nearest hundredth if necessary. (Lesson 1B)


  1. 50 miles on 2.5 gallons 33. 2,500 kilobytes in 5 minutes

  2. 5 peppers for $6.45 35. 64.8 meters in 9 seconds
    28. BAKING A recipe for making 3 dozen
    muffins requires 1.5 cups of flour. At this
    rate, how many cups of flour are
    required to make 5 dozen muffins?
    A. 2 cups C. 3 cups
    B. 2.5 cups D. 3.5 cups
    29. An amusement park line is moving
    about 4 feet every 15 minutes. At this
    rate, approximately how long will it take
    for a person at the back of the 50-foot
    line to reach the front of the line?
    F. 1 hour H. 5 hours
    G. 3 hours I. 13 hours
    30. EXTENDED RESPONSE Crystal’s
    mother kept a record of Crystal’s
    height at different ages. She recorded
    the information in a table.
    Age (y) Height (in.)
    0 (birth) 19
    125
    230
    542
    10 55
    12 60


Part A Write a ratio for each age and
the corresponding height.
Part B Is the relationship between
Crystal’s age and her height
proportional? Explain.

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