GED® Algebra: Equations and Problem Solving
A focused GED® Algebra course for mastering equations. Students learn how an equation works like a balance, solve one-step, two-step, multi-step, fraction, decimal, and variable-on-both-sides equations, rearrange formulas, translate word problems into equations, and recognize no-solution and infinitely-many-solution cases. Lessons include many worked examples, and practice questions use detailed step-by-step explanations.
📚 Course Curriculum
An equation says two expressions are equal. The equals sign is not an instruction to "get an answer"; it is a balance point. Whatever is …
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A one-step equation needs one inverse operation to isolate the variable. Example 1 - addition:. Undo \(+9\) by subtracting 9:. Example 2 - subtraction:. Undo …
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A two-step equation usually has a variable term plus or minus a constant:. Solve by undoing operations in reverse order:. First undo addition or subtraction. …
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Multi-step equations are not harder because of new rules. They are harder because the equation needs cleaning first. Use this order:. Distribute if there are …
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Some equations have \(x\) on both sides. The goal is to collect all variable terms on one side and all constants on the other. Example …
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Fractions and decimals are still solved with the same balance rule. The cleanest strategy is often to clear the fraction or decimal early. Example 1:. …
Open trial session →A formula is an equation with more than one variable. A literal equation asks you to solve for one variable in terms of the others. …
Open trial session →GED® algebra often hides the equation in a real situation. Translate slowly. Routine:. Define the variable. Write what each part means. Build the equation. Solve. …
Open trial session →Most linear equations have one solution, but sometimes the variable disappears. Case 1 - no solution:. Subtract \(3x\) from both sides:. That is false, so …
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Checking is not extra work; it is how you catch arithmetic mistakes. For any equation:. Solve carefully. Substitute the answer into the original equation, not …
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Course Syllabus
This self-paced GED® Math course follows a 10-lesson sequence. Work through the modules in order so that each skill supports the next.
Course sequence
Module 1 - Lessons 1-4
- Equations as a Balance
- One-Step Equations
- Two-Step Equations
- Multi-Step Equations: Combine and Distribute
Module 2 - Lessons 5-8
- Variables on Both Sides
- Fraction and Decimal Equations
- Formulas and Literal Equations
- Word Problems: Build the Equation
Module 3 - Lessons 9-10
- No Solution and Infinitely Many Solutions
- Checking and GED® Test Strategy
Practice and completion
- Use worked examples and lesson practice to check understanding after each module.
- Review incorrect answers, explain the correction, and repeat weak skills.
- Complete the available mixed or final course practice to demonstrate readiness.
Course Outcomes
By the end of this course, learners will be able to:
- Explain and apply the mathematical ideas in Equations as a Balance.
- Solve multi-step problems involving Two-Step Equations and show a clear method.
- Interpret representations and check the reasonableness of work involving Variables on Both Sides.
- Choose efficient strategies for unfamiliar questions related to Word Problems: Build the Equation.
- Combine skills from Checking and GED® Test Strategy with earlier topics in mixed practice.
- Use feedback and answer explanations to diagnose and correct mistakes.
- Complete mixed, exam-style practice with clearer reasoning and greater independence.
📝 Practice Questions
62 interactive questions with instant feedback and explanations.
Enroll for free to unlock the full practice bank after the trial sessions.