Algebra Inequalities Worksheet Puzzles

Are you struggling to find engaging and effective ways to teach algebra inequalities to your students? Look no further! Our algebra inequalities worksheet puzzles are designed to captivate and challenge students while reinforcing key concepts and problem-solving skills. Whether you are an educator seeking additional resources or a student looking for extra practice, our worksheets provide an ideal platform to master algebraic inequalities.

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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  Adding and Subtracting Integers Number Line

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Solve the inequality: 2x + 3 > 7.

To solve the inequality 2x + 3 > 7, first subtract 3 from both sides to get 2x > 4. Then divide by 2 to find x > 2. The solution to the inequality is x is greater than 2.

Find the solution set for the inequality: -4x + 5 ? 13.

The solution set for the inequality -4x + 5 ? 13 is x ? -2. In other words, all real numbers greater than or equal to -2 satisfy this inequality.

Solve the absolute value inequality: |2x - 4| < 10.

To solve the absolute value inequality |2x - 4| < 10, we need to consider two cases: when the argument inside the absolute value is positive and when it is negative. First, consider 2x - 4 > 0: this implies 2x > 4 and x > 2. Similarly, when 2x - 4 < 0, we get x < 2. Combining these results, we have 2 < x < 6 as the solution to the inequality |2x - 4| < 10.

Determine the solution to the compound inequality: -2 < x < 5.

The solution to the compound inequality -2 < x < 5 is the set of real numbers where x is greater than -2 and less than 5, meaning x falls within the open interval (-2, 5).

Solve the quadratic inequality: x^2 - 6x + 5 > 0.

To solve the quadratic inequality x^2 - 6x + 5 > 0, first find the roots of the related equation x^2 - 6x + 5 = 0 by factoring or using the quadratic formula. The roots are x = 1 and x = 5. Next, plot these roots on a number line and test each interval to determine when the original inequality is true. The solution is x < 1 or x > 5.

Find the solution set for the inequality: 3(x + 2) ? 2x - 1.

The solution set for the inequality 3(x + 2) ? 2x - 1 is x ? -7.

Solve the fractional inequality: (2/x) ? 4.

To solve the inequality (2/x) ? 4, you can start by multiplying both sides of the inequality by x to eliminate the fraction. This gives you 2 ? 4x. Dividing both sides by 4 gives you 0.5 ? x. Therefore, the solution to the inequality is x ? 0.5.

Determine the solution set for the quadratic inequality: (x - 3)(x + 2) ? 0.

The solution set for the quadratic inequality (x - 3)(x + 2) ? 0 is x ? -2 or x ? 3, since the expression is non-negative when x is less than or equal to -2 or when x is greater than or equal to 3.

Solve the logarithmic inequality: log(x + 1) > 2.

To solve the logarithmic inequality log(x + 1) > 2, first rewrite it in exponential form as 10^2 < x + 1. This simplifies to 100 < x + 1. Then, subtract 1 from both sides to get x > 99 as the solution to the inequality. Therefore, the solution to the logarithmic inequality log(x + 1) > 2 is x > 99.

Find the solution set for the radical inequality: ?(x - 3) < 5.

To find the solution set for the radical inequality ?(x - 3) < 5, we need to square both sides of the inequality to eliminate the square root. This gives us x - 3 < 25. Adding 3 to both sides, we get x < 28. Therefore, the solution set for the given radical inequality is x < 28.