Consider the picture below.  All measurements are in centimeters.
Find the area of the following triangles and trapezoids.

1.    Triangle AHF = ________

2.    Trapezoid ACNB = ________

3.    Triangle JBE = _______

4.    Trapezoid FCNG = _______

5.    Trapezoid HFEJ = ________

6.    Trapezoid EGND = _______

7.    Triangle NDB = ________

8.    Trapezoid AFEJ = ________
 

Simplify in problems 9-17.

9.    n + 4y + 3y + 5n + y = _______

10.    3n² + 4n + 5n² + 8n = _______

11.    y³ + 6y + 2y² + 8y + 2y² + 3y³ = _____

12.    8j - 3n + 3 + 2j - 5n - 10 + j = _____

13.    2 (4n + 5) = ______

14.    6 (5n + 3) + 2 (-4n - 5) = ___________

15.    3n² (4n² + 2n + 5 ) = __________

16.    5n³ ( 4n² + 6n⁴) = __________

17.    3n ( 4n² + 5n⁴) +  5 (2n³ + 10n⁵) = ____________

18.    What is the surface area of a box that is 4cm long, 5 cm tall, and
         10 cm wide?
                                ________

19.    What is the volume of the box in question 18?  _______

20.    Twelve percent of what number is 2.4? _______
 
 
 

21.    56% of the middle school is boys.  If there are 140 boys,
         how many students are in the middle school?
                                                                                _________
 
 

22.    I make 85% of my foul shoots.  If I made 230 foul shots last
         season, how many shots did I take?
                                                                        _________
 
 
 
 
 

Solve the following equations for the n.  Show your work!

23.    -2n + 5 = 25                                    24.    ²/₃ n = 24
 
 
 
 
 
 
 

25.    ^-3/₅ n = -15/9                                    26.    ⁴/₅ n - 5 = -25
 
 
 
 
 
 
 

27.   What is the surface area of a cube that is 5 cm on each edge?  _____

28.    If the area of a triangle is 38cm² and the base is 20 cm,
         what is the height of the triangle?
                                                                ________

29.    The area of a trapezoid is 49 cm².  If the height is 7 cm and one of
         the bases is 2 cm, what is the other base's measurement?
                                                                                                    ________

30.    Use the distributive property to show that 4 x $1.98 = $7.92.
 
 
 
 
 
 

31.    Use the distributive property to restate the formula ¹/₂h (b₁ + b₂).