Rearranging Formulas in Algebra

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

In the formula for the area of a rectangle, which variable is the subject of the formula?

  • b
  • h
  • A (correct)
  • none of the above

In the formula A = bh, to isolate b, you need to add h to both sides.

False (B)

What is the inverse operation needed to remove +at from the equation v = u + at?

-at

To change the subject of a formula, you must ____ the variable to be isolated.

<p>isolate</p> Signup and view all the answers

Match the following formulas with their rearrangement to isolate the indicated variable:

<p>A = bh = b = A/h v = u + at = t = (v - u)/a P = k/j = k = P * j</p> Signup and view all the answers

Which formula can be rearranged to make k the subject?

<p>P = k/j (D)</p> Signup and view all the answers

The subject of a formula is always the variable that is alone on one side of the equals sign.

<p>True (A)</p> Signup and view all the answers

The inverse operation of multiplying by h is ____ by h.

<p>dividing</p> Signup and view all the answers

Flashcards

Subject of a formula

The variable you're solving for in a formula.

Rearranging a formula

Changing the subject of a formula to isolate another variable.

Inverse operations

Opposite mathematical operations (addition/subtraction, multiplication/division).

Isolate a variable

Get a variable alone on one side of the equation.

Signup and view all the flashcards

Example: Finding 'b'

Rearranging the area formula (A=bh) to solve for 'b'.

Signup and view all the flashcards

Example: Finding 'u'

Rearranging the formula (v=u+at) to find 'u'.

Signup and view all the flashcards

Example: Finding 't'

Rearranging the formula (v=u+at) to find 't'.

Signup and view all the flashcards

Example: Finding 'k'

Rearranging the formula (P=k/j) to find 'k'.

Signup and view all the flashcards

Study Notes

Changing the Subject of a Formula

  • A formula's subject is the variable you're solving for.
  • It's the letter standing alone on one side of the equals sign.
  • For example, in (A = bh), the subject is (A) (area).

Rearranging Formulas

  • To change the subject, manipulate the formula to isolate the desired variable.
  • Use inverse operations (like adding and subtracting, multiplying and dividing).

Example: Finding the Base of a Rectangle

  • Given (A = bh), to find (b), divide both sides by (h):
    • (b = \frac{A}{h})
  • This isolates (b) and makes it the subject.

Example: Rearranging (v = u + at) to find (u)

  • Subtract (at) from both sides to isolate (u):
    • (u = v - at)

Example: Rearranging (v = u + at) to find (t)

  • Subtract (u) from both sides: (v - u = at)
  • Divide both sides by (a): (t = \frac{v - u}{a})

Example: Rearranging (P = \frac{k}{j}) to find (k)

  • To isolate (k), multiply both sides by (j):
    • (k = Pj)

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Rearranging Sentences in an Inquiry Letter
19 questions
Rearranging Equations Steps
11 questions

Rearranging Equations Steps

BenevolentDramaticIrony avatar
BenevolentDramaticIrony
Solving Equations, Rearranging and Simplification
20 questions
Use Quizgecko on...
Browser
Browser