Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
1. Equations & Inequalities
Linear Equations
1:48 minutes
Problem 42
Textbook Question
Textbook QuestionSolve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. P=2l+2w,for w (perimeter of a rectangle)
Verified Solution
This video solution was recommended by our tutors as helpful for the problem above
Video duration:
1mPlay a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Perimeter of a Rectangle
The perimeter of a rectangle is the total distance around the rectangle, calculated by the formula P = 2l + 2w, where l is the length and w is the width. Understanding this formula is essential for solving for either variable when given the perimeter.
Algebraic Manipulation
Algebraic manipulation involves rearranging equations to isolate a specific variable. This includes operations such as adding, subtracting, multiplying, or dividing both sides of the equation to solve for the desired variable, in this case, w.
Recommended video:
Guided course
05:09
Introduction to Algebraic Expressions
Assumption of Non-Zero Denominator
In algebra, it is crucial to assume that any variable in the denominator of a fraction is not equal to zero, as division by zero is undefined. This assumption ensures that the solutions derived from the equations are valid and applicable.
Recommended video:
Guided course
02:58
Rationalizing Denominators
Watch next
Master Introduction to Solving Linear Equtions with a bite sized video explanation from Callie
Start learningRelated Videos
Related Practice