REVIEW FOR THE END OF PATH TEST

Math Skills Development II

Calculators are permitted for the test.  The test will cover the following topics:  order of operations; ratios; integers; exponents and equations.  The following questions indicate the topics and the level of difficulty of the test.  A comprehensive review package is available and students are encouraged to complete extra practice in weak areas.

A.      Order of Operations — BEDMAS

1.  2.                     3.                       4.  5.

6.                                7.   8.   9.   10.

B.      Ratios

Find the missing value (answers to one decimal place):

                                                     

Solve the following problems using proportions:

Use proportions to solve the following problems:

8.  A cylindrical barrel contains 9 kL of gasoline when filled to a depth of 3 m.  How many kL does the barrel contain when the level is 2 m?

9.        In the rear axle of a vehicle, the ratio of teeth on the ring gear to teeth on the pinion gear is 4 to 1.  If there are 64 teeth on the ring gear how many teeth are there on the pinion gear?

10.  The ratio of input power to out put power of an amplifier is 1:3000.  If the input power is 0.00806 W, what is the amplifier output power?

C.      Integers

1.         Write the integer expression suggested by each of the following:

(a)  42m below sea level           (b)  a gain of 15 pounds            (c)  12°C below zero

2.                  Arrange from greatest to least:                     9, –4, 6, 1, 0, 4, –9, 3, –7, 8, –3, –1

3.                  Simplify:

                             

D.      Exponents

1. Write as an exponent:       ______           
2. Calculate(try these without a calculator): 

2⁵ = _____, 3⁴ = ____,  7² = _____,  2³ = ____,  (-1)⁷ = ____,  10⁵ = ____,

9² = ____, 12² = _____, 8² = _____, 5² = _____, (–7)² = ____, 0² = _____,

3² = _____, 6² = _____, 11² = _____, 1² = _____, –1⁴ = _____

3. Evaluate:

                              

E.      Equation Solving

                      

Solutions

A.  5, 80, 3, 6, 6, 13, 5, 15, 13, –25  B.  2.9, 3.6, 9.4, 13.1, 6.0 kL, 16 teeth, 24.2 W 

C.  –42, +15, –12, {9,8,6,4,3,1,0,-1,-3,-4,-7,-9},  0, -24, -5, 3, -6, 9, 10, -4, -21, -5, 5,

-2, 8   D.  (1)  5⁶, (2)  32, 81, 49, 8, 1, 100000, 81, 144, 64, 25, 49, 0, 9, 36, 121, 1,–1, (3)  25, 2, 1000, 3/8  E.  96, 8, 15, 676, 4, 3, 23, 10