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6 Problems for Exam 1 - Intermediate Algebra | MATH 1010, Exams of Algebra

University of Utah (The U)Algebra

Material Type: Exam; Class: Intrm Algebra; Subject: Mathematics; University: University of Utah; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/31/2009

koofers-user-eiz
koofers-user-eiz 🇺🇸

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MATH 1010-005: Intermediate Algebra
Exam 1
No calculators will be allowed
Show all of your work — if you don’t show your work, I can’t give you partial credit!
Read all directions carefully — sometimes I will tell you what method to use, or give you a hint.
Good luck!
Problem Score
1
2
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Total
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Download 6 Problems for Exam 1 - Intermediate Algebra | MATH 1010 and more Exams Algebra in PDF only on Docsity!

MATH 1010-005: Intermediate Algebra

Exam 1

No calculators will be allowed Show all of your work — if you don’t show your work, I can’t give you partial credit! Read all directions carefully — sometimes I will tell you what method to use, or give you a hint. Good luck!

Problem Score

Total

  1. Evaluate the following expressions: (a) 4 + 6 ÷ 3 + 2 =

(b) 23 + 16 =

(c) 35 ÷ 13 =

  1. Simplify the following expressions, using the distributive law if necessary. Do not use FOIL. (a) 3(x − 2 y) − 6(x − y) =

(b) (x + 2)(x − 2) =

  1. You and your friends are trapped in an elevator shaft, and there is water leaking in from above you. Your friend Gary, who is an accountant, has been recording the height of the water in the shaft over the course of the past hour. Here is the data he has recorded: time (minutes) 0 30 45 60 water (centimeters) 25 70 85 130 (a) Carefully draw a scatterplot of the data. (b) Draw a line of best fit, then find the equation for this line.

(c) Consider the function relating the number of minutes passed to the height of the water. i. There is a slot in the elevator shaft 160 centimeters off the floor, so it looks like the water will stop there. What is the domain and range of the function? (There are several reasonable answers for the domain.)

ii. What are the independent and dependent variables?

  1. Consider the function f (x) = √x. (a) Carefully graph the function, using a table of values.

(b) What is the domain and range?

(c) Using your knowledge of transformations of functions, sketch graphs of the following functions. Make sure you label any important points on the graph. i. √x + 1 ii. −(√x + 1)