distributive property

distributive property
MATH 009 Introductory Algebra Quiz 3 Summer 2014
Direction: This is an open book quiz. You may refer to the text and other course materials as you work on this
quiz. Do NOT use a calculator. You must complete the quiz individually. Neither collaboration nor consultation
with others is allowed. There are 14 questions and each worth 2 points.
Use the Lastname_Firstname_quiz3 file to provide your solutions.
Identify the numerical coefficient of the term.
1) y
Simplify the expression by combining any like terms.
2) -2x – 6x
Simplify the expression. First use the distributive property to remove any parentheses.
3) -9(z – 6)
Write the following as an algebraic expression. Simplify if possible.
4) Add 9x – 1 to 3x – 3.
Write the algebraic expression described. Simplify if possible.
5) Two numbers have a sum of 46. If one number is q, express the other number in terms of q.
6) If x represents the first of two consecutive odd integers, express the sum of the two integers in terms of x.
Solve the equation.
7) 7x – (6x – 1) = 2
8) x8
+ 9 = 18
9) 13
x – 4 = 1
10) 0.02y + 0.08(5000 – y) = 0.44y
11) 3x – 5 + 4x + 5 = 4x + 3x – 3
Write each of the following as equations. Then solve.
12) Four times a number added to 9 times the number equals 65. Find the number.
13) The president of a certain university makes three times as much money as one of the department heads. If the
total of their salaries is $280,000, find each worker’s salary.
14) In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the
total number of medals won by each team are three consecutive integers whose sum is 84 and the U.S. won
more than China who won more than Romania, how many medals did each team win?
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