Equations and inequalities (one step)

Practice 5 items →

An equation is a balance: whatever you do to one side you do to the other. Students solve x + a = b and ax = b, with decimal and fraction coefficients, by undoing the one operation — subtract 7 to solve x + 7 = 10, not add it. An inequality is a region on the number line. Students graph x < a and x ≥ b with an open circle for strict and a closed circle for inclusive, and write a one-step inequality from a constraint (“riders must be more than 48 inches tall”). Multi-step equations are Math 7.

Specification · for a parent or teacher

Part no.: one-step-equations-inequalities
Course: Advanced Math 6 · Unit 9
Realm: Structures
Difficulty: 2 of 4 — Grade 4–5. Two steps, or one idea in a story.
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

one-step $x+a=b$ , $ax=b$ ; graph $x<a$ , $x\ge b$ with open/closed circles; write a one-step inequality from a constraint.

Ready when

$x-3.5=1.2$ and $4x=18$ , plus “more than 12 years old” graphed correctly.

Formulas

Undo addition

x + a = b \implies x = b - a

Undo multiplication

ax = b \implies x = \frac{b}{a}

Watch for

$x+7=10$ solved by adding 7; closed circle on a strict inequality.

Before · requires

Algebraic expressionsalgebraic-expressions-6 · Math 6
Negative numbers and absolute valueintegers-absolute-value · Math 6

After · used by

Simple equations in one variablelinear-equations-7 · Math 7
Inequalities (multi-step)linear-inequalities-7 · Math 7

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