# 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:

Question 6:

**Combining Like Terms**

Question 7: (3x

^{2}+ 2x) + (5x

^{2}- 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 x

^{2}- 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 = b

^{2}solve for b b =

**Question 22:**solve for b b =

**Factoring**

**Question 23:**20x - 5 =

**Question 24:**x

^{2}- 7x +12 =

**Question 25:**x

^{2}- 5x +6 =

**Question 26:**9x

^{2}+ 42x +49 =

**Question 27:**25x

^{2}+40x +16 =

**Quadratic Equations**

**Question 28:**x

^{2}+12x +35 = 0 x =

**Question 29:**x

^{2}- 3x = 0 x =

**Question 30:**4x

^{3}- 32x

^{2}+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 35:

**Question 36:**If x + y = 20 and y = 3x, then x =

**System of Equations**

Question 37:

3x + y = 6

Question 37:

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) = x

Question 1:

^{4}- x + 2, then f(-x) =

**Question 2:**The equation x

^{2}+ 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

Reading Comprehension

**Arithmetic**

**Elementary Algebra**

**College Level Mathematics**

Prev | Next |