Algebra 1 Literal Equations Flashcards

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Questions and Answers

What does the equation L = A/W represent?

  • Interest formula
  • Area of a rectangle (correct)
  • Volume of a cone
  • Slope Intercept Form

What is the Slope Intercept Form equation?

y = mx + b

In Ax + By = C, solve for x gives x = ______.

(C - By)/A

What is the Interest formula?

<p>I = prt</p> Signup and view all the answers

To solve for h in V = (Ah)/3, the formula is h = ______.

<p>(3v)/A</p> Signup and view all the answers

What does the equation u = -4a + 1 represent?

<p>a = (u - 1)/-4</p> Signup and view all the answers

How can you solve for a in the equation z = m + a - b?

<p>a = z - m + b</p> Signup and view all the answers

What is the equation to solve for a when g = a - c - b?

<p>a = g + b + c</p> Signup and view all the answers

What is the equation for x in zm = x + y?

<p>x = zm - y</p> Signup and view all the answers

How do you solve for a in the equation z + a = b?

<p>a = b - z</p> Signup and view all the answers

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Study Notes

Area of a Rectangle

  • Formula: ( L = \frac{A}{W} )
  • Formula for area ( A = L \times W )
  • Solve for length ( L ) by rearranging the area formula.

Slope Intercept Form

  • Formula: ( m = \frac{(y - b)}{x} )
  • Represents the slope in the equation ( y = mx + b )
  • Solve for slope ( m ) by isolating it in the equation.

Standard Form

  • Formula: ( x = \frac{(C - By)}{A} )
  • Standard form is represented as ( Ax + By = C )
  • Solve for variable ( x ) by manipulating the standard form equation.

Interest Formula

  • Formula: ( r = \frac{I}{(pt)} )
  • Represents the formula for interest: ( I = prt )
  • Rearranged to solve for the rate ( r ).

Volume of a Cone

  • Formula: ( h = \frac{3v}{A} )
  • Volume expressed as ( V = \frac{(Ah)}{3} )
  • Solve for height ( h ) from the volume formula.

Linear Equation Rearrangement

  • From ( u = -4a + 1 ), rearranged to find ( a ).
  • Isolate ( a ) to determine its value.

Algebraic Manipulation

  • Original equation: ( z = m + a - b )
  • Rearranged to solve for ( a ).

Addition and Subtraction in Equations

  • Equation: ( a = g + b + c )
  • Rearranged to solve ( g ) or determine relationships between variables.

Algebraic Expression Transformation

  • Given ( zm = x + y ), expressed as ( x = zm - y )
  • Reorganize to solve for variable ( x ).

Basic Algebraic Formula

  • From ( z + a = b ), isolated to find ( a ).
  • Simple manipulation allows for solving of ( a ).

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