Solving Equations with Variable T

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Questions and Answers

What is the first step in solving an equation according to the given process?

  • Rearrange the equation
  • Identify the given equation (correct)
  • Perform operations to isolate the variable
  • Substitute the number into the equation

What does the process of 'do opposites' refer to in rearranging the equation?

  • Using the same operation on both sides
  • Ignoring terms that are not needed
  • Performing the inverse operation to eliminate terms (correct)
  • Adding to both sides of the equation

What must be done to the term represented by $t^{2}$ when rearranging the equation?

  • Multiply by 2
  • Keep it as is
  • Remove it by subtracting $t^{2}$ (correct)
  • Remove it by adding $t^{2}$

When substituting a number, what is the specific number mentioned to be used in the equation?

<p>1 (D)</p> Signup and view all the answers

Which of the following operations is NOT mentioned as part of removing terms in the equation?

<p>Do +1 (A)</p> Signup and view all the answers

Flashcards

Substituting a number

Replacing a variable in an equation with a specific value.

Rearranging an equation

Adjusting the equation to isolate the variable.

Opposite operations

Operations that undo each other (e.g., addition and subtraction).

Solving for 'T'

Finding the value of a variable in an equation.

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Equation

A mathematical statement that shows two expressions are equal.

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Study Notes

Solving Equations

  • Given equation: Solve an equation with a variable "T"

  • Find T: Identify or find the value of "T"

  • Substitute: Input the value of "T" into the original equation

  • Rearrange: Manipulate the equation for isolating the unknown variable

  • Opposites: Apply corresponding operations (addition, subtraction, multiplication, division) to both sides of the equation to isolate the variable

  • Remove x, do: Actions to remove terms like an "x"

  • Remove +1, do: Remove a constant term

  • Remove t², do: Remove a variable term raised to the power of 2

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