Linear Expressions

Grade 7 Math Worksheets

A linear expression, also known as a linear equation or linear function, is a mathematical expression or equation in which the variables are raised to the power of 1 and are combined using addition and subtraction operations.

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Linear Expressions
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Linear Expressions - Grade 7 Math Worksheet PDF

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Linear Expression

It can be written in the form:

ax + b

where ‘a’ and ‘b’ are constants, and ‘x’ is the variable. The coefficient ‘a’ represents the slope of the line, while the constant term ‘b’ represents the y-intercept, which is the value of ‘y’ when ‘x’ is zero.

Linear expressions are called “linear” because they represent a straight line when plotted on a graph.

The general form of a linear expression is often written as:

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Linear expressions are called “linear” because they represent a straight line when plotted on a graph. The general form of a linear expression is often written as:

y = mx + c

where ‘y’ represents the dependent variable, ‘m’ represents the slope, ‘x’ represents the independent variable, and ‘c’ represents the y-intercept.

Linear expressions are widely used in various fields, such as mathematics, physics, economics, and engineering, to model relationships between variables that exhibit a constant rate of change. They provide a simple and fundamental way to describe and analyze many real-world phenomena.

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Linear Expressions FAQS

What is a linear expression?

A linear expression is a mathematical expression that represents a linear relationship between variables. It consists of terms with variables raised to the power of 1, multiplied by coefficients, and can include constants. The variables in a linear expression have a degree of 1.

How do you identify a linear expression?

To identify a linear expression, look for terms that have variables raised to the power of 1 (no exponents other than 1) and are multiplied by coefficients. The expression should not include variables with exponents other than 1 or involve multiplication or division of variables.

What is the standard form of a linear expression?

The standard form of a linear expression is usually written as: ax + by = c

where ‘a’ and ‘b’ are coefficients representing the variables, ‘x’ and ‘y’, and ‘c’ is a constant.

What is the slope-intercept form of a linear expression?

The slope-intercept form of a linear expression is written as:
y = mx + b
where ‘y’ is the dependent variable, ‘x’ is the independent variable, ‘m’ is the slope or coefficient of ‘x’, and ‘b’ is the y-intercept.

What is the slope of a linear expression?

The slope of a linear expression represents the rate of change between the independent variable and the dependent variable. It is the coefficient of the independent variable in the linear expression. In the slope-intercept form (y = mx + b), ‘m’ represents the slope.

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