Inequalities practice
Solve and graph ten one-step inequalities using addition or subtraction. Practice expressions on either side, choose comparison symbols and print a worked solution key.
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Undo the addition or subtraction on both sides, then graph every value that makes the resulting inequality true.
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Each set has ten inequalities with exact integer boundaries. The number-line window follows the answer, so larger positive and negative solutions remain visible. The key repeats each problem and explains its equivalent transformations.
The comparison checkboxes select symbols in the original question. A negative variable, a negative coefficient or the variable appearing on the right can mean that the solved inequality uses the opposite direction. Always normalize the relationship before choosing the ray.
Learning objective
Isolate a variable by adding or subtracting the same quantity on both sides while preserving order.
Worked example
5 > x, or x < 5.
Subtract 3 from both sides. Subtraction preserves the comparison, giving 5 > x. Reading with x on the left gives x < 5: an open endpoint at 5 and a ray to the left.
Teaching notes
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Relationships select the literal operator printed in each prompt. Dividing by a negative coefficient reverses the normalized solution direction.
A useful next step
Inequalities
Translate between an inequality and a number-line graph in twenty questions. Choose whole numbers, signed integers or halves; draw graphs, read graphs or mix both tasks, with a separate key.
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Solve and graph ten one-step inequalities with signed coefficients and divisors. Learn when to reverse the comparison, using exact integer boundaries and explained answer keys.
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Inequalities
Solve and graph ten one-step inequalities in one mixed set: three addition, three subtraction, two multiplication and two division questions. Choose the prompt relationships and print separate worked answers.
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