Two-Step Graphs With Negative Coefficients

Pair Solve Two-Step Inequalities with Solve and Graph Two-Step Inequalities for a first lesson. Use Find and Fix the Mistake for discussion, and the riddle or card sort as a self-checking review.

Solve and graph six two-step inequalities with negative coefficients, like −3x + 4 > 16 and 8 − 5x ≤ −7. The directions on the page read: Solve each inequality in the box, write the solution on the line, and graph it. Remember to flip the sign when you multiply or divide by a negative number. The page opens with a worked example, and an answer key is included.

Yes, both. We made it for 8th grade algebra, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Undo addition or subtraction first, then multiplication or division. For 7x − 6 ≥ 50, add 6 to get 7x ≥ 56, then divide by 7 to get x ≥ 8.

Forgetting to flip the sign after dividing by a negative. In the example, Ravi solved −3x − 4 > 38 and wrote x > −14, but dividing by −3 makes it x < −14. Find and Fix the Mistake has six more cases.

Solve it first so x is alone, then graph the answer. For 3x − 5 ≥ 16 the solution is x ≥ 7, a closed circle at 7 with shading to the right.