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Key Techniques for GED Math Practice

May 7, 2025

GED Math Practice Test Review

Triangle Area Calculation

  • Use the area formula from the formula sheet.
  • For a triangle with a 90° angle, the two sides forming the angle are the base and height.
  • Formula: Area = 0.5 * base * height.
  • Example: Base = 2.8, Height = 2.4, Area = 3.36.

Equation of a Line Passing Through Points

  • Use y = mx + b form.
  • Check equations by substituting values.
  • Example: Line through points (-5, 0) and (4, 3) is checked via calculator.

Finding the Median

  • Arrange numbers in ascending order.
  • Find the middle number for an odd set of numbers.
  • For even numbers, average the two middle numbers.
  • Example: Median of 7 numbers: 46.

Calculating Perimeter

  • Add the lengths around the edge of a shape.
  • For missing parts, use equivalent parts from the same orientation.
  • Example: Total perimeter in a complex shape: 184.

Multiplying Decimals (No Calculator)

  • Multiply as integers, then adjust decimal places.
  • Example: 5 * 3, 5 * 2, 5 * 4, etc.*

FOIL Method

  • Multiply the terms: First, Outer, Inner, Last.
  • Combine like terms for the final expression.
  • Example: (2x - 5)(x + 4) = 2x^2 + 3x - 20.

Solving for Toppings in Pizza Cost

  • Equation with total cost and number of toppings.
  • Substitute values to find number of toppings.
  • Example: Cost = $24.50, toppings = 5.

Circle Area Calculation

  • Use the formula A = πr².
  • Plug in radius for calculations.
  • Example: Radius = 0.8, Area = 2.01.

Matching Equation to Graph

  • Identify y-intercept and slope.
  • Compare graph intercepts and slopes to find the correct match.

Substitution in Equations

  • Substitute specific numbers for variables.
  • Use parentheses for clarity.

Volume of Box

  • Volume = length × width × height.
  • Solve for missing dimension if needed.
  • Example: Given dimensions, h = 12.25.

Volume of Cone

  • Volume = 1/3πr²h.
  • Given diameter, find radius (half of diameter).
  • Solve for height using provided options.

Maintaining a Function Table

  • Ensure no repetition in ordered pairs.
  • Assign new unique values to maintain function integrity.

Solving Inequalities

  • Identify correct inequality symbols.
  • Example of savings account: Use ≥ for ensuring minimum savings.

Solving Equations with Parentheses

  • Distribute multiplication across terms inside parentheses.
  • Collect like terms and solve for the variable.
  • Example: 7x + 12 = 15, solve for x = 3/7.

These notes summarize the key techniques and examples from the GED Math practice problems, giving insight into typical test problems.