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ZingPath: Expressions, Equations, and Inequalities

Solving One-Step Linear Equations

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Expressions, Equations, and Inequalities

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Lesson Focus

Solving One-Step Linear Equations

Math Foundations

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You will solve one-step linear equations in one variable using addition, subtraction, multiplication, or division.

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Now You Know

After completing this tutorial, you will be able to complete the following:

  • Solve one-step linear equations in one variable using addition.
  • Solve one-step linear equations in one variable using subtraction.
  • Solve one-step linear equations in one variable using multiplication.
  • Solve one-step linear equations in one variable using division.

Everything You'll Have Covered

In order to successfully complete this Activity Object, students should be able to solve one-step equations, basic operations on integers, plot ordered pairs on a coordinate grid and be familiar with representations of linear equations. Some of the following key vocabulary words may be more of a review for the students, but very important for this Activity Object.

The following key vocabulary terms will be used throughout this Activity Object:

Coordinate plane - a plane formed by the intersection of a horizontal number line (the x-axis) and a vertical number line (the y-axis) at their zero points (the origin).

Line graph - a graph that uses line segments to show changes in data; the data usually represents a quantity changing over time.

Linear equation - an equation in the form y = mx + b, where m and b are constants. The graph of a linear equation is a straight lie.

For example,

Ordered pair - a pair of numbers used to locate a point on a coordinate plane. An ordered pair is written in the form (x, y) where x is the x-coordinate and y is the y-coordinate.

(2, 5), (7, -3), (0, 0)

x value - the first number in an ordered pair is the x value or x-coordinate. It tells how fare to move left or right from the origin along the x-axis.

For example,

In the ordered pair (2, 5), the x value is 2.

y value - the second number in an ordered pair is the y value or y-coordinate. It tells how far to move left or right from the origin along the y-axis.

Tutorial Details

Approximate Time 25 Minutes
Pre-requisite Concepts Students should know the definitions of equation, linear equation, linear equation in one variable, and reciprocal.
Course Math Foundations
Type of Tutorial Dynamic Modeling
Key Vocabulary coefficient of the variable, equation, linear equation