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Arithmetic Skills

Solve the following problems and choose your answer from the alternatives given. You
may use the paper you have been given for scratchwork.

Question 1: Three people who work full time are to work together on a project, but
their total time on the project is to be equivalent to that of only one
person working full time. If one of the people is budgeted for 1/2 of her
time to the project and a second person for 1/3 of his time, what part of
the third worker’s time should be budgeted to this project?

(A) 1/3
(B) 1/4
(C) 1/6
(D) 1/8

Question 2: 12 is what percent of 16?

A) 82%
(B) 45%
(C) 75%
(D) 90%

Question 3: If one shirt requires 2/3 of a yard of cloth, how many shirts can be made
from 20 yards of cloth?

(A) 10
(B) 30
(C) 60
(D) 80

Question 4:

(A) .04
(B) 4
(C) .4
(D) .44

Question 5: 6.18 ÷ 6 =

(A) 1.03
(B) 13
(C) .103
(D) 10.3

Question 6: 5.2 × 3.1 is between

(A) 15 and 16
(B) 16 and 17
(C) 17 and 18
(D) 18 and 19

Question 7: A plane travels 300 kilometers on Monday, 148 kilometers on Tuesday,
and 275 kilometers on Wednesday. How many kilometers did it
average per day?

(A) 2 80
(B) 2 41
(C) 2 33
(D) 2 67

Question 8: How many fourths are there in 4.8?

(A) 12
(B) 1.2
(C) 19.2
(D) 16.32

Question 9:



Question 10: Rod makes $480 per week, which is 20% more than Jeff makes. How
   much does Jeff make?

(A) $600
(B) $400
(C) $450
(D) $384

Question 11: Mr. and Mrs. Baggett’s house sits in the middle of their lot. The lot
  is rectangular and except for the house, their lot is covered with
grass. How many square feet of grass are on the lot?



(A) 2 00
(B) 9600
(C) 1250
(D) 8350

Question 12: 5/8 - 3/5 =

(A) 2/3
(B) 1/40
(C) 8/13
(D) 1/20

Question 13: A man has 9 pounds 5 ounces of dog food. How much will he have
  after his Great Dane eats 5 pounds 8 ounces of it?

(A) 4 pounds 3 ounces
(B) 3 pounds 13 ounces
(C) 3 pounds 7 ounces
(D) 14 pounds 12 ounces

Elementary Algebra Skills
On the actual Elementary Algebra test, there will be 12 multiple choice questions.
When answering those questions, be careful, take your time, and double check your
answers. You will be given pencils and paper, but you cannot use a calculator . This
practice packet is not multiple choice, but does cover the topics you could see on the
actual test. The answers begin on page 20.

Multiplying Binomials
Question 1:
(x + 2)(x - 3)
Question 2: (3x + 2)(5x - 3)
Question 3: (a + b)(a - b)
Question 4: (9 - x)(9 + x)
Question 5: (x + 10) 2

Absolute Value
Question 6:


Combining Like Terms
Question 7: (3x2 + 2x) + (5x2 - 3x)

Exponents
Question 8: (-2)5 =
Question 9: (-2)4 =
Question 10: (2/3)2 =
Question 11: (7x)2 =
Question 12:
Question 13:

Evaluating Expressions
Question 14: Evaluate x2 - 5x - 2 when x = 2
Question 15: Evaluate when x = -3

Solving Linear Equations
Question 16: 3x + 4 = 13 x =
Question 17: 5(x - 4) = -5 x =

Formulas
Question 18: a = 2b + c solve for c c =
Question 19:   solve for B B =
Question 20: solve for b b =
Question 21: a = b2 solve for b b =
Question 22: solve for b b =

Factoring
Question 23: 20x - 5 =
Question 24: x2 - 7x +12 =
Question 25: x2 - 5x +6 =
Question 26: 9x2 + 42x +49 =
Question 27: 25x2 +40x +16 =

Quadratic Equations
Question 28: x2 +12x +35 = 0 x =
Question 29: x2 - 3x = 0 x =
Question 30: 4x3 - 32x2 +60x = 0 x =

Inequalities
Question 31: solve x + 4 < 12
Question 32: solve 2x +5 > 11
Question 33: solve -2x ≤ 6
Question 34: solve -3x - 4 ≥ 5

Linear Equations in Two Variables
Question 35:
Given: 3x + 2y = 12, if x = 4, then y =
Question 36: If x + y = 20 and y = 3x, then x =

System of Equations
Question 37:
3x + y = 6
x + 3y = 2 x =
Question 38:
x - 5y = 8
2x - 7y = 11 x =

Radicals
Question 39:
Question 40:
Question 41:
Question 42:

Rational Numbers
Question 43:
Question 44:
Question 45:
Question 46:
Question 47:
Question 48:

Complex Fractions
Question 49:

Question 50:

College Level Mathematics Skills
Question 1:
If f(x) = x4 - x + 2, then f(-x) =

Question 2: The equation x2 + 2ix - 4 = 0 has as its roots

Question 3: In Triangle ABC, a = 12, b = 16 and sin B = 2/3
What is the measure of angle A in degrees?

Answers to Sample Questions
Reading Comprehension

Arithmetic

Elementary Algebra


College Level Mathematics

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