Review for Chapter 5 Test 7th grade math - Kyrene School District.ppt

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					Review for Chapter 5 Test

     7th grade math
    Insert Lesson Title Here
                         5-1
A coin bank contains 16 quarters, 12 dimes,
and 8 nickels. Write the given ratio in all
three forms.
1. nickels to quarters
     8 , 8 to 16, 8:16 or 1 , 1 to 2, 1:2
    16                    2

2. dimes to nickels
    12 , 12 to 8, 12:8 or 3 , 3 to 2, 3:2
     8                    2

3. nickels and dimes to quarters
     20 , 20 to 16, 20:16 or 5 , 5 to 4, 5:4
     16                      4
   Insert Lesson Title Here
                       5-2

1. Find the unit rate and write it in both
  fraction and word form.
There are 220 calories in 5 crackers.

   44 calories , 44 calories per cracker
    1 cracker
2. Kim and Ted work out on treadmills together
   at the gym. Kim walked 3.0 miles in 21
   minutes, while Ted walked 4.5 miles in 42
   minutes. Who walked at the faster rate?
   Kim
    Insert Lesson Title Here
                   More 5-2
Determine whether the rates are proportional
by writing them in simplest form and
comparing them.

1. 9 , 12                       2. 12 , 10
   30 40                            21 15
    3 , 3 ; proportional         4 , 2 ; not proportional
   10 10                         7 3
Determine if the ratios are proportional
by finding a common denominator.

3. 3 , 2                        4. 3 , 9
    8 5                             7 21
   15 , 16 ; not proportional       9 , 9 ; proportional
   40 40                           21 21
     Insert Lesson Title Here
                      More 5-2

5. In a local pre-school, there are 5 children for every
   teacher. Write an equivalent ratio to show how
   many children there would be if there were 4
   teachers.
   5 , 20
   1 4
   Insert Lesson Title Here
                      5-3

Use cross products to solve the proportion.

1. 25 = 45   t = 36
   20    t
   x
2. = 19      x=3
   9 57

3. 2 = r     r = 24
   3 36
4. n = 28    n = 35
   10    8
    Insert Lesson Title Here
                       5-3

5. Carmen bought 3 pounds of bananas for $1.08.
   June paid $ 1.80 for her purchase of bananas.
   If they paid the same price per pound, how
   many pounds did June buy?
    5 pounds
     Insert Lesson Title Here
                5-4 Dimensional Analysis
Use a unit conversion factor to convert the units.
1. Football fields are 100 yards long. How many feet
   is that? 300 feet
2. In biology lab you measure a grasshopper’s wing
   span to be 3 inches long. How many centimeters is
   this? 7.62 cm
Use a unit conversion factor to convert the units
within a rate.
3. On a freeway a car’s speed is 62 miles per hour.
   What speed is that in feet per hour? 327,360 ft/h
4. If you are paid $7.50 per hour to watch your
   neighbor’s children, how much are you paid per
   minute? 12.5 cents per minute
    Insert Lesson Title Here

                         5-5

1. Identify the corresponding
  sides in the pair of triangles,
  and use ratios to determine
  whether the triangles are
  similar.

  NO corresponds to QR;
  PO corresponds to SR;
  PN corresponds to SQ; similar
    Insert Lesson Title Here

                         5-5

2. Use properties of similarity
   to determine whether the
   figures are similar.
   not similar
       Insert Lesson Title Here
                                        5-6
     Find the unknown length in each pair of
     similar figures.
                       J
      A                            144 cm             3. These two rectangular
1.        96 cm
                                                            cakes are similar in
 80 cm             C           x                            shape. How long is the
               56 cm                            K           larger cake?
          B                         L   84 cm
                                                            10 in.
               x = 120 cm
                                                    6 in.                    x
2.
                                                                     9 in.
 160 cm        120 cm      t


       72 cm                   90 cm
                                                               x = 15 inches
                t = 150 cm
       Insert Lesson Title Here

                              5-7
Identify the scale factor.
1.                  Statue of Liberty   Model
     Height (in.)        1,824           8
      1
     228
2. On a scale drawing, a kitchen wall is 6 inches long.
                        1
   The scale factor is    . What is the length of the
                       24
   actual wall?
     144 inches, or 12 feet
     Insert Lesson Title Here

                         5-7


3. On a road map, the distance from Green Bay to
   Chicago is 11 cm. What is the actual distance
   between the cities if the map scale is 3 cm = 90 km?
  330 km
                SKILLS               SKILLS
Prime Factorization
                                  Reducing fractions


        Greatest Common Factor       Sci. Notation

Least Common Multiple

Decimals to fractions
                                       Add dec.

Equivalent Fractions
                                       Sub dec

Comparing Fractions
                                      Mult Dec

Mixed Number to Improper
                                       Div Dec

Improper to Mixed
                                 Simplifying fractions

Add Fractions


Sub Fractions


Multiply Fractions


Divide Fractions

				
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