Algebra Work Probles
Math 012
Midterm Exam Page 6
Please remember to show ALL of your work on every problem. If there is no work to show, then include a sentence or two explaining your answer.
Here are the basic rules of showing work:
a) Each step should show the complete expression or equation rather than a piece of it.
b) Each new step should follow logically from the previous step, following rules of algebra.
c) Each new step should be beneath the previous step.
d) The equal sign, =, should only connect equal numbers or expressions.
1) Solve the following equation: Show / explain your work
2) Solve the following equation: Show or explain your work
3) The second angle of a triangle is twice as large as the first. The measure of
the third angle is 30 degrees greater than the first. How large are the angles?
4) An electrician cuts a 50 ft piece of wire into two pieces. One piece is 4 ft longer than the other. How long are the pieces?
5) A family drove to a resort at an average speed of 40 mph and later returned over the same road at an average speed of 60 mph. Find the distance to the resort if the total driving time was 10 hours.
6) Write the slope-intercept form of the equation of the line through the given point with the given slope: Show or explain your work
7) Write the Point Slope form of a line through the given points: Show or explain your work
8) Write the slope-intercept form of the equation of the line through the given point with the given slope: Show or explain your work
9) Write the Point Slope form of a line described below: Show or explain your work
10) Write the Point Slope form of a line described below: Show or explain your work
11) Solve each inequality, graph each solution, and give interval notation. Show or explain your work
12) Solve each inequality, graph each solution, and give interval notation. Show or explain your work
13) Solve each compound inequality, graph its solution, and give interval notation. Show or explain your work
14) Simplify
15) Simplify
16) Simplify
17) Find the following product and simplify
18) Find the following product and simplify
19) Find the following product and simplify
20) Find the following product and simplify
21) Solve each equation by factoring
m2 − m − 30 =0