College Algebra : Linear Equations

Study concepts, example questions & explanations for College Algebra

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Example Questions

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Example Question #11 : Linear Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

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 #11 : Solving Equations And Inequallities

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Add  on both sides.

Add one on both sides.

Divide by 16 on both sides.

The answer is:  

Example Question #11 : Solving Equations And Inequallities

Express the following linear inequality in interval notation.

Possible Answers:

Correct answer:

Explanation:

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 : Solving Equations And Inequallities

Solve:

Possible Answers:

Correct answer:

Explanation:

Step 1: Subtract 6 from both sides...

Step 2: Divide by 2.

Simplify:

Example Question #11 : Solving Equations And Inequallities

Solve: (positive roots only)

Possible Answers:

Correct answer:

Explanation:

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 #16 : Linear Equations

Solve:

Possible Answers:

Correct answer:

Explanation:

Move  to the other side by subtracting it from both sides.

Simplify:

Divide by the coefficient, the number in front of x.

Reduce:

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