Inequalities (multi-step)

Practice 5 items →

Multiply or divide by a negative: reverse the inequality, always. Students solve multi-step inequalities, graph on a number line, and write compound inequalities a < x ≤ b.

Specification · for a parent or teacher

Part no.: linear-inequalities-7
Course: Advanced Math 7 · Unit 11
Realm: Structures
Difficulty: 3 of 4 — Grade 6–7 core. Multi-step, first symbolic work.
Qty: 5 items

Part no. is the node's id; the realm is the kind of math; qty is how many practice items it carries.

Students can

$<,\le,>,\ge,\ne$ ; multi-step $ax+b<cx+d$ ; number-line graphs; compound $a<x\le b$ .

Ready when

$-3x+4 \le 13$ solved, reversed, graphed with a closed circle.

Formulas

Reversal rule

a < b,\ k < 0 \implies ka > kb

Watch for

$-2x>6 \Rightarrow x> -3$ (did not reverse).

Before · requires

Simple equations in one variablelinear-equations-7 · Math 7
Equations and inequalities (one step)one-step-equations-inequalities · Math 6

After · used by

Equations and inequalities (Math 1)multi-step-equations-literals · Math 1

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