Simple equations in one variable

Practice 5 items →

Variables on both sides, and fractions. Students solve ax + b = cx + d and fractional equations by multiplying every term by the common denominator, check by substitution, and model consecutive-integer, age, and dimension stories.

Specification · for a parent or teacher

Part no.: linear-equations-7
Course: Advanced Math 7 · Unit 5
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

$ax+b=c$ and $ax+b=cx+d$ ; $\frac{x+a}{b}=\frac{x-c}{d}$ ; consecutive-integer, age, and dimension stories.

Ready when

$\frac{x+3}{4}=\frac{x-1}{2}$ solved and checked.

Watch for

clearing fractions by subtracting denominators; forgetting to multiply every term.

Before · requires

Equations and inequalities (one step)one-step-equations-inequalities · Math 6
Introduction to algebraalgebra-foundations-7 · Math 7
Fractions: division and multi-step storiesfraction-operations-6 · Math 6

After · used by

Percentage: reverse percent and simple interestpercent-simple-interest · Math 7
Coordinates and linear graphsslope-linear-graphs · Math 7
Inequalities (multi-step)linear-inequalities-7 · Math 7
Equations and inequalities (Math 1)multi-step-equations-literals · Math 1

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