GED® Algebra: Advanced Equations & Applications
A harder follow-up to GED® Algebra: Equations Mastery. This course gives students advanced equation practice with more examples: nested parentheses, fractions and decimals, variables on both sides, literal equations, percent and rate applications, absolute value, proportions, quadratics, systems, radicals, and exponential equations. Every practice answer explains the solution step by step and names the likely trap.
📚 Course Curriculum
Hard equations are usually built from easy moves in a longer chain. The secret is not speed; it is order. Use this routine:. Clear grouping …
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Some equations have more than one layer of grouping. Work from the inside outward, or distribute carefully one layer at a time. Example 1:. Inside …
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Fractions are not a different kind of algebra. They only make the arithmetic heavier. To simplify, multiply every term by the least common denominator (LCD). …
Open trial session →Decimal equations often appear in money, tax, discount, interest, and percent problems. You can solve with decimals directly or rewrite them as fractions. Example 1:. …
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When variables appear on both sides, first simplify each side. Then collect variables. Example 1:. Distribute:. Subtract \(5x\):. Add 12:. Divide:. Example 2:. Add \(2x\) …
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A literal equation asks you to solve for a variable while other letters remain in the answer. Treat the other letters like numbers. Example 1:. …
Open trial session →Advanced word problems often compare two expressions. Example 1 - two plans:. Plan A costs 20 dollars plus 5 dollars per month. Plan B costs …
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Absolute value means distance from zero, so it cannot be negative. Most absolute value equations split into two cases. Example 1:. Two cases:. Solve:. Example …
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A proportion says two ratios are equal. You can often cross-multiply. Example 1:. Cross-multiply:. Divide:. Example 2:. Cross-multiply:. Divide by 10:. So:. Example 3:. Multiply …
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A quadratic equation has an \(x^2\) term. Many GED®-level quadratics can be solved by factoring or square roots. Example 1:. Take the square root of …
Open trial session →A system of equations asks for values that make two equations true at the same time. Example 1 - substitution:. Set the two expressions for …
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Some advanced equations use square roots, cubes, or exponents. The same inverse-operation idea still works. Example 1:. Square both sides:. Subtract 5:. Check:. Example 2:. …
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Course Syllabus
Course Outcomes
📝 Practice Questions
60 interactive questions with instant feedback and explanations.
Enroll for free to unlock the full practice bank after the trial sessions.