Math Assignment

Mott Community College

Math 120

Intermediate Algebra

Test #1

 

In order to receive any credit ALL work must be shown in pencil. Don’t forget to check your solutions where

possible. No calculators allowed! When you finish, you will upload as a pdf in Canvas.

 

1. (10 points) Solve each of the following:

3

2

9

4

27

11 x  34)85(7  xx

 

 

 

 

 

 

 

 

 

 

 

2. (10 points) Solve each of the following and write your answer in interval notation:

1437  xx 20 3

1 8  y

 

 

 

 

 

 

 

 

 

 

 

 

3. (10 points) Solve each of the following:

1513 y 54310  x

 

 

 

 

 

 

 

 

 

 

 

 

4. (10 points) Solve each of the following and write your answer in interval notation.

8232 x 2092  x

 

 

 

 

 

 

 

 

5. (10 points) Find the value of a if the slope of the line through (a, -2) and (4, -6) is -3.

 

 

 

 

 

 

Find the slope of a line parallel to the line that passes through (-7, 1) and (-4,-3).

 

 

 

 

 

Find the slope of a line perpendicular to 3x – 5y = -4.

 

 

 

 

6. (10 points) Find the equation of the line that passes through (-4, -2) with slope m = 3

2 . Write your

answer in slope-intercept form.

 

 

 

 

 

 

Find the equation of the line perpendicular to 13  xy that passes through the point (2, 0). Write

your answer in slope-intercept form.

 

 

 

 

 

 

 

 

 

 

7. (10 points) Graph each of the following:

1 23 

yx xy 3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8. (10 points) Let 82)( 2  xxf and 1)(  xxg . Find each of the following:

g[f(2)] ))(( xgf  ))(( xfg  )4)(( fg

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6

7

5

4

3

2

1

-1

-2

-3

-4

-5

-6

7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7

 

6

7

5

4

3

2

1

-1

-2

-3

-4

-5

-6

7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7

 

 

9. (10 points Let 12)( 2  xxf and 13)(  xxg . Find each of the following:

))(( xgf  ))(( xfg

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

10. (10 points) The volume of a gas varies directly with its temperature and inversely with the pressure. If the volume of a certain gas is 30 cubic feet at a temperature of 300 K and a pressure of 20 pounds per

square inch, what is the volume of the same gas at 340 K when the pressure is 30 pounds per square

inch?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Write the formula for the general equation if y varies jointly with the square of x and z and inversely with

the square root of w.