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.
