MATH 081 Exam 1 Review Problems 

Exam 1 covers Sections 1.7, 1.8, 2.5. 2.6, and Chapter 3.  These are some problems that should help you review for Exam 1.  This is not a template for the exam, and you should also do the review problems suggested in the syllabus.  Calculators may NOT be used on Exam 1.
1.	Solve the equation:  
2.	Solve the equation:  
3.	Solve the equation:  
4.	Solve the equation:  
5.	Simplify:  
6.	Simplify:  
7.	Simplify:  
8.	Simplify:  
9.	Simplify:  
10.	Simplify the expression:  
11.	Simplify the expression:  
12.	Simplify the expression:  
13.	Simplify the expression:  
14.	Write the sentence as an equation:  The difference of -5 and -25 is equal to 20.
15.	Write the sentence as an equation:  The product of -2 and -46 is equal to 92.
16.	Write the sentence as an equation:  The quotient of -48 and 12 is equal to -4.
17.	Define a variable and use it in an equation to represent the following word problem.  Solve the equation and label your answer:
A number subtracted from 17 yields the product of 2 and 4.  Find the number. 
18.	Define a variable and use it in an equation to represent the following word problem.  Solve the equation and label your answer:
Twelve times the sum of a number and -11 yields 144.  Find the number.
19.	Define a variable and use it in an equation to represent the following word problem.  Solve the equation and label your answer:
Nine decreased by some number yields the quotient of 10 and 2.  Find the number.
20.	Evaluate  for 
21.	Evaluate  for 
22.	Evaluate  for 
23.	Evaluate:  
24.	Evaluate:  
25.	Evaluate:  
26.	Evaluate:  

27.	Find the perimeter:  

28.	Write the phrase as a variable expression.  Use x to represent “a number”.
12 less than the product of 2 and a number
29.	Write the phrase as a variable expression.  Use x to represent “a number”.
The quotient of a number and 4 more than the number.

30.	Find the area of the rectangle:

31.	Evaluate the expression for x = - 2, y = 7, z = 3: 2xz – 3x2 
32.	Simplify:  
33.	Write using exponential notation:  
34.	Define a variable and use it in an equation to represent the following word problem.  Solve the equation and label your answer:
Bobby has 48 red and blue marbles.  If he has twice as many red marbles as blue marbles, how many blue marbles does he have?
35.	Define a variable and use it in an equation to represent the following word problem.  Solve the equation and label your answer:
There are 400 people watching a showing of the “The Bee movie”.  There are 148 more children than adults.  How many adults are watching the movie?
36.	Define a variable and use it in an equation to represent the following word problem.  Solve the equation and label your answer:
32 subtracted from six times a number is 4 more than three times the number.  Find the number.
37.	Define a variable and use it in an equation to represent the following word problem.  Solve the equation and label your answer:
High school students enrolling in a private tutoring program must first take a placement test which costs $25 and then pay $13 per hour of tutoring.  If Fred’s family paid $389 for him to receive extra help this semester, how many hours of tutoring did he receive?
38.	Define a variable and use it in an equation to represent the following word problem.  Solve the equation and label your answer:
Two tanks hold a total of 45 gallons of drinking water.  The first tank holds 9 gallons more than twice the amount that the second tank holds.  How many gallons of water does each tank hold?