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Intermediate Algebra Test 2 Review: Solving Linear Equations and Functions, Exams of Algebra

Saint Louis Community College - MeramecAlgebra

A test review for intermediate algebra students, focusing on chapters 7 and 8. It includes various problems on finding slopes and y-intercepts, equations of lines, domain and range of functions, and solving systems of equations using different methods. Students are required to show their work and provide final answers.

Typology: Exams

Pre 2010

Uploaded on 08/08/2009

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MTH: 140 INTERMEDIATE ALGEBRA NAME__________________________
TEST 2 Review Chapters 7 & 8
Please show all your work and place your final answers in the provided spaces.
Thank you and good luck.
1) Find the slope and the y – intercept:
5 2 7y x
2) Find the equation of the line with slope –5 and y – intercept (0, 1).
3) Find the equation of the line with slope 4 and containing the point (-2, -4).
4) Find the equation of the line containing points (3, -1) and (4, -2).
pf3
pf4
pf5

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MTH: 140 INTERMEDIATE ALGEBRA NAME__________________________

TEST 2 Review Chapters 7 & 8 Please show all your work and place your final answers in the provided spaces. Thank you and good luck.

  1. Find the slope and the y – intercept: ^5 y^ ^2 x ^7
  2. Find the equation of the line with slope –5 and y – intercept (0, 1).
  3. Find the equation of the line with slope 4 and containing the point (-2, -4).
  4. Find the equation of the line containing points (3, -1) and (4, -2).
  1. Green Grass Recycling uses the function given by ( ) , to determine the salvage value of ( ), in dollars, of a waste removal truck years after it has been put into use. a) What do the F t t F t t

numbers -5000 and 90,000 signify? b) How long will it take the truck to depreciate completely? c) What is the domain of F?

  1. Given 2 h x ( )  x  1 , find h ( 2)^ ^.
  2. Given

f x x

state the domain using interval notation.

  1. Graph the line

f x x

  (^). Label all your points.

  1. Solve the system using Cramer’s Rule.

x y x y

Setup and compute the following determinants: D   Define and compute x and y. Dx   xDy   y^  12a) Solve the system using the substitution method.

x y x y

12b) Solve the system using the elimination method.

x y x y

Translate each of the five problem situations to systems of equations. Do not solve. Be sure to define your variables!

  1. The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
  2. Mountainside Fleece sold 40 neckwarmers. Solid color neckwarmers sold for $9. each and print ones sold for $12.75 each. In all, $421.65 was taken in for the neckwarmers. How many of each type were sold?
  3. Two angles are complementary.(ie. The sum of two complementary angles is 90 ^ ). The sum of the measures of the first angle and half the second angle is 64 ^. Find the measures of the angles.