GEOMETRY FORMULAS

Circle:                                                      Rectangle:      P = 2L + 2W             

                                                                                            A = L ∙ W

                                                                                               

Triangle:        A = bh

 

Rectangular Prism:     V = L∙W∙H                          Cylinder:      

Cone:                                                     Sphere:          

 

 

 

1.) Add and reduce, if possible:

2.) Find the value of the following if x = -1 and y = -3:  

3.) Solve for x:  3(x – 5) = x – 1

 

4.) Convert to a mixed number:

5.) Round 2.9856 to the nearest 100^th.

 

6.) Convert  to a percent.

 

7.) The ratio of males to females in a Math 092 class is 2:3.

      How many males are there in a class with 24 females?

 

8.) Ken has $124.81 in his checking account. If he writes checks for $35.49 and $24.53,

      how much will he have left in his account?

 

9.) Subtract and reduce: if possible:      

 

 

10.) Find the perimeter and the area of the rectangle below.

 

 

                                         2 inches

 

                 3.5 inches           

 

11.) Multiply:      

 

12.) Convert to a fraction and reduce to lowest terms:    0.002

 

13.) Simplify:   

 

14.) Divide:      10.29 ÷ 4.9

 

15.) Convert to a fraction and reduce to lowest terms:     90%

 

16.) Simplify:  

17.) Answer TRUE or FALSE (explain your answer!):      

 

18.) Answer TRUE or FALSE (explain your answer!):     

 

19.) Find the missing side of the triangle below.

 

 

 

                          10

 

 

 

                     8

20.) Fill in the blank with < or >:           -2_____-5

 

21.) Fill in the blank with < or >:       

 

22.) Find the circumference of a circle with diameter 6 inches.

        (Leave your answer in terms of )

 

23.) Add:   29.843 + 12 + 3.45

 

24.) A compact disc is originally priced at $16.

        If it goes on sale for 40% off, find the sale price.

 

 

 

 

 

 

25.) Find the volume of the figure below.

 

 

 

 

     5 ft

 

                                  2 feet

                   4 ft

26.) Find the volume of the figure below.

        (Leave your answer in terms of )

 

                           r = 4

 

 

 

                                12

 

 

 

 

27.) On a recent math test, Clementine answered  of the questions correctly.

        If there were 40 questions on the test, how many did she get right?

 

Questions 28, 29, and 30 refer to the following data:          10, 6, 3, 2, 3, 10, 18, 20

 

28.) Find the mean.

 

29.) Find the median.

 

30.) Find the mode(s).

 

31.) Factor:      12x – 8y + 16z

                                   

32.) Find the supplement of 39°.

 

33.) Convert to a decimal:   

 

 

34.) 3 is 15% of what number?

 

 

 

 

 

35.) Write in words:        12.3

 

36.) Divide and reduce, if possible:       

37.) Multiply:      

 

38.) Subtract:      -8 – (-6)

 

39.) Simplify using order of operations:     

 

40.) Find the area of the triangle below.

 

 

              2.5                  4              8.6

 

                                  16

                                                (height = 4)

 

 

 

41.) Write as a ratio in lowest terms:        24 cats to 42 dogs

 

 

42.) Write in order from smallest to largest:          , 0.02, 0.3,

 

43.) Simplify using order of operations:     

 

44.) Simplify:      (3a + 4b) – (6a – b)

 

45.) Convert to a percent:     0.2

46.) Convert to an improper fraction:    

47.) Solve for x:     

48.) One year ago, a new Playstation2 cost $250. Today they are priced at $150.

        Find the percent decrease.

 

49.) Divide:    -84 ÷ (-7)

 

50.) Solve for x:           

ANSWERS

 

1.)                            2.)        -5                     3.)        x = 7                4.)       

 

5.)        2.99                 6.)        60%                 7.)        16                    8.)        $64.79

 

9.)                           10.)      P=11 , A=7      11.)                         12.)     

 

13.)                       14.)      2.1                   15.)                         16.)      x⁹

 

17.)      FALSE            18.)      FALSE            19.)      6                      20.)      >

 

21.)      >                      22.)                        23.)      45.293             24.)      $9.60

 

25.)      40 ft³                26.)                     27.)      35                    28.)      9

 

29.)      8                      30.)      3 and 10           31.)      4(3x-2y+4z)     32.)      141°

 

33.)      .375                 34.)      20                    35.)      twelve and three tenths

 

36.)      49                    37.)      -12                   38.)      -2                     39.)      15

 

40.)      32                    41.)      4/7                   42.)      .02,     43.)     

 

44.)      -3a + 5b           45.)      20%                 46.)                        47.)      x = 21

 

48.)      40%                 49.)      12                    50.)      x = 24