Solving One Step Inequalities Worksheet 1

In this blog post, we will be discussing a useful resource for students who are learning to solve one step inequalities - the Solving One Step Inequalities Worksheet 1. Designed to strengthen understanding of this concept, this worksheet serves as a valuable tool for teachers and parents looking to provide additional practice and reinforcement for their students or children.

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Determine the solution set for x + 5 > 9.

The solution set for the inequality x + 5 > 9 is x > 4.

Solve the inequality 2y - 4 ? 10.

To solve the inequality 2y - 4 ? 10, first add 4 to both sides to isolate the variable: 2y ? 14. Then, divide by 2 on both sides to get the solution y ? 7. Therefore, all values of y that are less than or equal to 7 satisfy the inequality 2y - 4 ? 10.

Find the values of x that satisfy the inequality 3x + 7 < 22.

To find the values of x that satisfy the inequality 3x + 7 < 22, we first subtract 7 from both sides to isolate the variable: 3x < 15. Then, divide by 3 on both sides to solve for x: x < 5. Therefore, the values of x that satisfy the inequality are x < 5.

Determine the solution set for 4z - 8 ? 20.

The solution set for the inequality 4z - 8 ? 20 is z ? 7. This means that any real number greater than or equal to 7 is a solution to the inequality.

Solve the inequality 2a + 9 > 21.

To solve the inequality 2a + 9 > 21, start by subtracting 9 from both sides to isolate the variable. This gives you 2a > 12. Then, divide both sides by 2 to solve for a, resulting in a > 6. Therefore, the solution to the inequality 2a + 9 > 21 is a > 6.

Find the values of y that satisfy the inequality y - 3 ? 8.

The inequality is y - 3 ? 8 can be solved by adding 3 to both sides of the inequality to isolate y. This gives us y ? 11. Therefore, the values of y that satisfy the inequality are all real numbers less than or equal to 11.

Determine the solution set for 6x - 12 ? 30.

To determine the solution set for the inequality 6x - 12 ? 30, we first add 12 to both sides to isolate the variable: 6x - 12 + 12 ? 30 + 12. Simplifying gives 6x ? 42. Then, we divide both sides by 6 to solve for x: 6x/6 ? 42/6 ? x ? 7. Therefore, the solution set for the inequality 6x - 12 ? 30 is x ? 7.

Solve the inequality 5y + 4 < 19.

To solve the inequality 5y + 4 < 19, first subtract 4 from both sides to isolate 5y. This gives 5y < 15. Then, divide by 5 on both sides to find y. The solution is y < 3.

Find the values of x that satisfy the inequality 2x - 5 > 15.

To solve the inequality 2x - 5 > 15, we first add 5 to both sides to isolate the term with x: 2x > 20. Then, divide by 2 to find the value of x: x > 10. Therefore, the values of x that satisfy the inequality are all real numbers greater than 10.

Determine the solution set for 7z + 3 ? 25.

The solution set for the inequality 7z + 3 ? 25 is z ? 4.