Algebra Class: Solving Equations

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Questions and Answers

What is the first step to eliminate the fractions in the equation $ rac{2x + 5}{3} - rac{x - 2}{2} = 1$?

  • Multiply everything by 2
  • Multiply everything by 5
  • Multiply everything by 3
  • Multiply everything by 6 (correct)

After eliminating the fractions, what will the equation look like?

  • 6(2x + 5) - 3(x - 2) = 6 (correct)
  • 2(2x + 5) - 3(x - 2) = 6
  • 3(2x + 5) - 6(x - 2) = 6
  • 4x + 10 - 3(x - 2) = 6

What do you get when you simplify the left side of the equation after eliminating fractions?

  • 12x + 30 - 4x + 4
  • 12x + 30 - 3x + 6 (correct)
  • 12x + 30 - 3x - 6
  • 12x + 30 + 3x - 6

What is the next step after simplifying the left side to $9x + 36 = 6$?

<p>Subtract 36 from both sides (D)</p> Signup and view all the answers

What is the final solution for x after solving the equation?

<p>+ rac{10}{9} (A)</p> Signup and view all the answers

Flashcards

Equation

A mathematical statement that shows two expressions are equal using an equals sign (=).

Expression

A combination of numbers, variables, and operations.

Variable

A letter that represents an unknown value.

Solving an Equation

Steps used to solve an equation for the value of the variable.

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Clearing Fractions

Multiplying both sides of an equation by the least common multiple (LCM) of the denominators to eliminate fractions.

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Study Notes

Equation

  • An equation is a statement that the values of two mathematical expressions are equal.
  • The given equation is $\frac{2x+5}{3} - \frac{x-2}{2} = 1$

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