All College Algebra Resources
Example Questions
Example Question #11 : Linear Equations
Solve the equation:
In order to isolate the x-variable, we will need to multiply both sides by one third.
Simplify both sides.
The answer is:
Example Question #12 : Linear Equations
Evaluate:
Add on both sides.
Add one on both sides.
Divide by 16 on both sides.
The answer is:
Example Question #13 : Solving Equations And Inequallities
Express the following linear inequality in interval notation.
Upon solving for x, we find that x is less than or equal to 3. The left-hand term of the interval is negative infinity since any number less than 3 is in our set, and infinity always has a parenthesis around it. The right-hand term of the interval is 3 since it is the upper bound of our set. There is a bracket around it because 3 is included in our set (3 is less than or equal to 3). Remember when dividing or multiplying by a negative number in an inequality to reverse the direction of the inequality.
Example Question #11 : Linear Equations
Solve:
Step 1: Subtract 6 from both sides...
Step 2: Divide by 2.
Simplify:
Example Question #12 : Linear Equations
Solve: (positive roots only)
Step 1: Subtract from both sides
Step 2: Simplify:
Step 3: Divide..
Step 4: Take the square root of both sides...
Step 5: Simplify and get the answer...
Example Question #13 : Linear Equations
Solve:
Move to the other side by subtracting it from both sides.
Simplify:
Divide by the coefficient, the number in front of x.
Reduce: