Solving Equations Using Multiplication or Division
Solving equations using multiplication or division is a Grade 6 algebra skill in Big Ideas Math Advanced 1, Chapter 7: Equations and Inequalities. Students apply the multiplication or division property of equality — performing the same operation on both sides — to isolate the variable and find the solution.
Key Concepts
To solve equations involving multiplication or division, we apply the multiplication and division properties of equality to isolate the variable. For equations in the form $ax = b$, we divide both sides by $a$ (where $a \neq 0$) to get $x = \frac{b}{a}$. For equations in the form $\frac{x}{a} = b$, we multiply both sides by $a$ to get $x = ab$.
Common Questions
How do you solve an equation using multiplication or division?
To solve an equation where a variable is multiplied or divided by a number, apply the inverse operation to both sides. For example, to solve 3x = 12, divide both sides by 3 to get x = 4.
What is the multiplication property of equality?
The multiplication property of equality states that you can multiply both sides of an equation by the same non-zero number without changing the solution. It is used to solve equations like x/5 = 3, multiplying both sides by 5 to get x = 15.
What is the division property of equality?
The division property of equality states that dividing both sides of an equation by the same non-zero number keeps the equation balanced. It is used to solve equations like 4x = 20, dividing both sides by 4 to get x = 5.
Where is this algebra skill taught in Big Ideas Math Advanced 1?
Solving equations using multiplication or division is covered in Chapter 7: Equations and Inequalities of Big Ideas Math Advanced 1, the Grade 6 math textbook.