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One-step and two-step equations & inequalities

10 videos

Know Equations & Inequalities: What They Are and Why You Need Them thumbnail
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Pre-algebra - Equations & Inequalities: What They Are and Why You Need Them

Learn the difference between equations and inequalities. Equations find exact values, while inequalities find ranges of possible solutions.

Know Combining Like Terms: The Key to Simplifying Expressions thumbnail
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Pre-algebra - Combining Like Terms: The Key to Simplifying Expressions

Learn how to combine like terms in algebra by identifying terms with the same variable and adding their coefficients, including examples with positive and negative numbers.

Know Distributive Property & Simplifying Expressions thumbnail
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Pre-algebra - Distributive Property & Simplifying Expressions

Learn the distributive property with real examples. Multiply outside numbers by terms inside parentheses, then combine like terms to simplify expressions.

Know Writing Expressions from Word Problems thumbnail
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Pre-algebra - Writing Expressions from Word Problems

Learn how to write algebraic expressions using variables, coefficients, and constants through a real-world pizza shop job example with hourly pay and uniform costs.

Know Solving Equations: The Balance Principle thumbnail
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Pre-algebra - Solving Equations: The Balance Principle

Learn how equations work like balanced scales and why you must perform the same operation on both sides to solve for x. Includes a simple example solving x + 3 = 11.

Know Solving Two-Step Equations Step by Step thumbnail
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Pre-algebra - Solving Two-Step Equations Step by Step

Learn how to solve two-step equations by undoing operations in reverse order: first subtraction/addition, then division/multiplication, with a clear example.

Know Spot the Mistake: Two-Step Equations thumbnail
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Pre-algebra - Spot the Mistake: Two-Step Equations

Learn to avoid the two most common algebra mistakes: incomplete distribution and unbalanced operations when solving equations.

Know Two-Step Equation Word Problems thumbnail
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Pre-algebra - Two-Step Equation Word Problems

Learn to solve two-step equations with a real-world example: calculating how many weeks of work needed to save up for sneakers using algebra.

Know Inequalities: Solving and the Sign-Flip Rule thumbnail
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Pre-algebra - Inequalities: Solving and the Sign-Flip Rule

Learn how to solve inequalities, including the crucial rule: flip the inequality sign when multiplying or dividing by a negative number.

Know Inequality Word Problems: Setting Up and Solving thumbnail
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Pre-algebra - Inequality Word Problems: Setting Up and Solving

Learn to solve inequality word problems by translating real-world scenarios into math. Example shows how to calculate lawns needed to afford a gaming headset.