solving 1 and 2 step inequalities worksheet partners work key

less than a minute read 02-02-2025

solving 1 and 2 step inequalities worksheet partners work key

This worksheet is designed for partners to collaboratively solve one and two-step inequalities. It's structured to encourage discussion, problem-solving strategies, and peer learning. The key provided at the end allows for self-checking and identifies areas needing further review.

Understanding Inequalities

Before we begin, let's refresh our understanding of inequalities. Remember these symbols and their meanings:

<: Less than
>: Greater than
≤: Less than or equal to
≥: Greater than or equal to

Solving inequalities is very similar to solving equations, with one crucial difference: When multiplying or dividing by a negative number, you must reverse the inequality symbol.

Partner Activity: One-Step Inequalities

Instructions: Work with your partner to solve the following one-step inequalities. Discuss your steps and compare your answers.

Problem 1: x + 5 > 12

Problem 2: y - 3 ≤ 7

Problem 3: 3z ≥ 18

Problem 4: -4w < 20

Partner Activity: Two-Step Inequalities

Instructions: Continue working with your partner. For these two-step inequalities, remember to follow the order of operations in reverse (PEMDAS/BODMAS in reverse) to isolate the variable.

Problem 5: 2a + 7 > 15

Problem 6: 5b - 10 ≤ 25

Problem 7: -6c + 3 ≥ -9

Problem 8: (1/2)d - 4 < 6

Graphing Inequalities (Optional Challenge)

Graph each solution from the problems above on a number line. Remember:

An open circle (◦) represents < or >.
A closed circle (•) represents ≤ or ≥.

Answer Key

Use this key to check your answers with your partner. If you have discrepancies, review your steps together and identify where you might have made a mistake.

Problem 1: x > 7

Problem 2: y ≤ 10

Problem 3: z ≥ 6

Problem 4: w > -5

Problem 5: a > 4

Problem 6: b ≤ 7

Problem 7: c ≤ 2

Problem 8: d < 20

Further Practice

If you and your partner feel confident, try creating your own one and two-step inequalities and solving them together. You can also search online for additional practice problems. Remember to always check your work!

This worksheet promotes collaborative learning and provides a structured approach to mastering solving one and two-step inequalities. The clear instructions and comprehensive key facilitate self-assessment and reinforce learning. The optional graphing challenge adds an extra layer of understanding and application.