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MTH 219T Wk 3 – Midterm Exam

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MTH 219T Wk 3 – Midterm Exam

Complete the midterm exam. You have one attempt at the exam. So, be sure to review all previous course materials before attempting the exam.

Question 1

Suppose x is the height of a building and y is the number of rooms in the building. Which quadrant does the point (x,y) lie on?

 

Quadrant IV

 

 

Quadrant I

 

 

Quadrant III

 

 

Quadrant II

 

 

Question 2

If left parenthesis 3 to the power of 8 right parenthesis to the power of 4 equals 3 to the power of x , find x.

 

 

2

 

 

4

 

 

12

 

 

32

 

 

Question 3

Solve 1 third left parenthesis 3 x plus 6 right parenthesis plus 2 x equals 26 .

 

 

x equals 28 over 3

 

 

x equals 32 over 5

 

 

x equals 4

 

 

x equals 8

 

 

Question 4

Find the y-intercept of the line fraction numerator 6 y plus 2 x over denominator 5 end fraction equals 18 .

 

 

45

 

 

-15

 

 

-45

 

 

15

 

 

Question 5

 

Simplify fraction numerator left parenthesis x to the power of negative 3 end exponent x to the power of 5 right parenthesis left parenthesis 3 y right parenthesis cubed over denominator x to the power of negative 1 end exponent x squared end fraction .

 

 

9 x y cubed

 

 

9 x cubed y

 

 

27 x y cubed

 

 

27 x squared y cubed

 

 

Question 6

 

Which of the following is a polynomial?

 

 

x cubed plus x y minus 1

 

 

begin mathsize 10px style 1 over x end style

 

 

x to the power of 1 divided by 2 end exponent 12 y minus 1

 

 

fraction numerator x cubed over denominator x minus 1 end fraction

 

 

Question 7

 

Simplify left parenthesis x minus y minus 5 right parenthesis left parenthesis x minus 2 right parenthesis .

 

 

2 x minus y minus 3

 

 

x squared minus x y plus 7 x plus 2 y plus 10

 

 

2 x minus y minus 7

 

 

x squared minus x y minus 7 x plus 2 y plus 10

 

 

Question 8

 

Find the value of f left parenthesis 6 right parenthesis space i f space f left parenthesis x right parenthesis equals 1 over 6 x plus 7 .

 

 

13

 

 

6

 

 

8

 

 

7

 

 

Question 9

 

Solve the inequality negative x over 4 plus 2 x less or equal than 14 .

 

 

x less than 8

 

 

x greater or equal than negative 8

 

 

x greater than negative 8

 

 

x less or equal than 8

 

 

Question 10

 

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