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Solving equations & inequalities

12 videos

Know Solving Equations & Inequalities: What You Need to Know thumbnail
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34

Integrated Math - Solving Equations & Inequalities: What You Need to Know

Learn to solve equations with variables on both sides, handle parentheses, identify no solution or infinite solutions, work with inequalities, and understand compound inequalities.

Know Equations with Variables on Both Sides thumbnail
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Integrated Math - Equations with Variables on Both Sides

Learn to solve equations with variables on both sides by moving x terms to one side and constants to the other, then solving step-by-step with verification.

Know Solving 20 - 7x = 6x - 6 Step by Step thumbnail
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46

Integrated Math - Solving 20 - 7x = 6x - 6 Step by Step

Learn to solve linear equations with variables on both sides using a real-world money scenario. Step-by-step algebraic solution with verification included.

Know Equations with Parentheses and Fractions thumbnail
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Integrated Math - Equations with Parentheses and Fractions

Learn to solve equations with fractions by multiplying by the LCD to eliminate fractions, then using the distributive property to simplify and solve.

Know Solving 0.5(5 - 7x) = 8 - (4x + 6) thumbnail
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Integrated Math - Solving 0.5(5 - 7x) = 8 - (4x + 6)

Learn to solve equations with decimals and parentheses by distributing, combining like terms, and isolating variables to find x = -1.

Know One Solution, No Solution, or Infinite Solutions? thumbnail
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Integrated Math - One Solution, No Solution, or Infinite Solutions?

Learn to identify one solution, no solution, or infinitely many solutions when solving equations by recognizing patterns like x=3, 7=-3, or 0=0.

Know Does 8(3x + 10) = 28x - 14 - 4x Have a Solution? thumbnail
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Integrated Math - Does 8(3x + 10) = 28x - 14 - 4x Have a Solution?

Learn how to identify equations with no solution by recognizing contradictions like 80 = -14 after simplifying and canceling variable terms.

Know Solving Inequalities: The Flip Rule thumbnail
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Integrated Math - Solving Inequalities: The Flip Rule

Learn when and why you must flip the inequality sign when solving inequalities, especially when multiplying or dividing by negative numbers.

Know Solving -3p - 7 < p + 9 Step by Step thumbnail
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Integrated Math - Solving -3p - 7 < p + 9 Step by Step

Learn how to solve inequalities with variables on both sides, focusing on the critical rule of flipping the inequality sign when dividing or multiplying by a negative number.

Know Turning Word Problems into Inequalities thumbnail
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Integrated Math - Turning Word Problems into Inequalities

Learn how to solve real-world problems using inequalities. This example shows how to calculate the number of work shifts needed to save for a gaming console.

Know Compound Inequalities: AND vs OR thumbnail
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Integrated Math - Compound Inequalities: AND vs OR

Learn compound inequalities with AND and OR. AND requires overlap of conditions, while OR combines all solutions. Includes number line visualization examples.

Know Solving a Compound Inequality with OR thumbnail
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Integrated Math - Solving a Compound Inequality with OR

Learn how to solve compound OR inequalities by solving each part separately, then combining solutions. Includes number line graphing and when to flip inequality signs.