Lesson

Title: Algebra

Grade: Best-SAT3 Lesson: S5-P1

Explanation: Hello students, let us learn a new topic in SAT-3 today with definitions, concepts, examples, and worksheets included.

Lesson:

Definition: Linear Equation

A linear equation is an algebraic equation that represents a straight line on a coordinate plane. It is an equation in which the highest power of the variable(s) is one. The general form of a linear equation is:
ax + by = c

1

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Explanation: Here, the given image shows that x and y are variables. The constants a and b represent the coefficients of the variables x and y, respectively, while c is the constant term.

Definition: Linear Functions

A linear function is a mathematical function that can be represented by a straight line when graphed on a Cartesian coordinate system.

It is an algebraic expression of the form
f(x) = mx + b

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Explanation: The given image shows the linear function, so here
f(x) represents the output or dependent variable.
x represents the input or independent variable and
m represents the slope of the line.
b represents the y-intercept (the point where the line crosses the y-axis).

Definition: Linear Inequalities

Linear inequalities are mathematical statements that express a relationship between two algebraic expressions using inequality symbols (<, >, ≤, or ≥).

These inequalities involve linear equations, which consist of variables raised to the first power, multiplied or divided by constants.

The general form of a linear inequality is ax + b < c.

3

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Explanation: Here the given image shows the ax + b < c, where x represents the variable, a and b are constants, and c is a constant.


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