Inequalities · grades 7–8

Inequalities.

More than equal — <, >, ≤, ≥, number-line graphs, and solving step by step. With the one rule that sets inequalities apart: flip the sign when you multiply or divide by a negative.

Meet inequalities

Symbols & number lines.

1.1
Inequality symbols
<, >, ≤, ≥.
1.2
Words to inequalities
Write x and a number.
1.3
Graph on a number line
Open vs closed circles.

One-step

Add, multiply, flip.

2.1
Add or subtract
The sign stays put.
2.2
Multiply or divide
By a positive — no flip.
2.3
The flip rule
Negative? Reverse it.
2.4
One-step mastery
Add, divide, flip — mixed.

Multi-step

Two steps and beyond.

3.1
Two-step inequalities
Undo +/− then ×/÷.
3.2
Variables on both sides
Gather the x’s.
3.3
Distribute first
Open the brackets.
3.4
Multi-step mastery
Everything together.

Apply

Real constraints.

4.1
At least / at most
Constraints in words.
4.2
Solve a real constraint
Budget & limit problems.
4.3
Compound inequalities
And vs or.

Capstone

All together.

C1
Solve it all
Every kind, mixed.

Inequalities.

Meet inequalities

Inequality symbols

Words to inequalities

Graph on a number line

One-step

Add or subtract

Multiply or divide

The flip rule

One-step mastery

Multi-step

Two-step inequalities

Variables on both sides

Distribute first

Multi-step mastery

Apply

At least / at most

Solve a real constraint

Compound inequalities

Capstone

Solve it all