Main content

Linear equations and inequalities

One-step equations

Learn
One-step addition & subtraction equations
(Opens a modal)
One-step subtraction equations
(Opens a modal)
One-step addition & subtraction equations
(Opens a modal)
One-step division equations
(Opens a modal)
One-step multiplication equations
(Opens a modal)
One-step multiplication & division equations
(Opens a modal)
Practice
One-step addition & subtraction equationsGet 5 of 7 questions to level up!
One-step multiplication & division equationsGet 5 of 7 questions to level up!

Two-steps equations

Learn
Intro to two-step equations
(Opens a modal)
Two-step equations intuition
(Opens a modal)
Worked example: two-step equations
(Opens a modal)
Two-step equation word problem: computers
(Opens a modal)
Two-step equation word problem: garden
(Opens a modal)
Two-step equation word problem: oranges
(Opens a modal)
Practice
Two-step equationsGet 5 of 7 questions to level up!
Two-step equations word problemsGet 3 of 4 questions to level up!

Multi-step equations

Learn
Why we do the same thing to both sides: Variable on both sides
(Opens a modal)
Intro to equations with variables on both sides
(Opens a modal)
Equations with variables on both sides: 20-7x=6x-6
(Opens a modal)
Equations with parentheses
(Opens a modal)
Practice
Equations with variables on both sidesGet 3 of 4 questions to level up!
Equations with parenthesesGet 3 of 4 questions to level up!

One-step inequalities

Learn
One-step inequalities examples
(Opens a modal)
One-step inequalities: -5c ≤ 15
(Opens a modal)
One-step inequality word problem
(Opens a modal)
One-step inequalities review
(Opens a modal)
Practice
One-step inequalitiesGet 5 of 7 questions to level up!

Two-step inequalities

Learn
Two-step inequalities
(Opens a modal)
Two-step inequality word problem: apples
(Opens a modal)
Two-step inequality word problem: R&B
(Opens a modal)
Practice
Two-step inequalitiesGet 5 of 7 questions to level up!
Two-step inequality word problemsGet 3 of 4 questions to level up!

Multi-step inequalities

Learn
Inequalities with variables on both sides
(Opens a modal)
Inequalities with variables on both sides (with parentheses)
(Opens a modal)
Multi-step inequalities
(Opens a modal)
Practice
Multi-step linear inequalitiesGet 3 of 4 questions to level up!

Writing & solving proportions

Learn
Worked example: Solving proportions
(Opens a modal)
Solving hairy proportions
(Opens a modal)
Writing proportions example
(Opens a modal)
Proportion word problem: cookies
(Opens a modal)
Proportion word problem: hot dogs
(Opens a modal)
Practice
Solving proportionsGet 5 of 7 questions to level up!
Solving proportions 2Get 5 of 7 questions to level up!
Writing proportionsGet 5 of 7 questions to level up!
Proportion word problemsGet 3 of 4 questions to level up!

About this unit

We will now equate two algebraic expressions and think about how it might constrain what value the variables can take on. The algebraic manipulation you learn here really is the heart of algebra.