★ Must-know
📌 A numerical equation contains known numbers, whereas an algebraic equation expresses an equality using one or more variables.
Further detail
To identify the variable in an equation, locate the letter or letters whose values are unknown.
The numerical equation 7 + 7 = 12 can be expressed using a variable by replacing an unknown number with a letter.
A numerical equation has known numbers, whereas an algebraic equation includes a variable.
Linear equation: an equation in which the maximum power of any variable is 1
The equation 5x² + 4y = 0 is not linear because the power of x is 2, which is greater than 1.
1. Which feature distinguishes a numerical equation from an algebraic equation?
2. What is an algebraic equation?
3. Which condition identifies an equation as linear?
What distinguishes a numerical equation from an algebraic equation?
A numerical equation contains known numbers, an algebraic equation uses variables.
How can the numerical equation 7 + 7 = 12 be expressed using a variable?
By replacing an unknown number with a letter.
What is an algebraic equation?
An equality containing one or more variables.
How do you identify the variable in an equation?
Locate the letter or letters whose values are unknown.
What defines a linear equation regarding variable powers?
The maximum power of any variable is 1.
Why is 5x² + 4y = 0 not a linear equation?
Because the power of x is 2, which is greater than 1.
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