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Solving Word Problems Involving Linear Equations and Linear Inequalities Worksheets

Download the Solving Word Problems Involving Linear Equations and Linear Inequalities Worksheets

Looking for the best way to teach students about solving word problems involving linear equations and linear inequalities?

This premium worksheet bundle contains 10 activities to challenge your students and help them understand solving word problems involving linear equations and linear inequalities.

Solving Word Problems Involving Linear Equations and Linear Inequalities.pptx

Definition:

Linear Equation is composed of variables and constants. Its standard equation is in the form y = mx + b. It forms a straight line when graphed in a cartesian plane.

Linear inequality is a mathematical statement that contains two expressions, either numeric or algebraic, with the involvement of inequality symbols such as >, >, <, <, and ≠

Summary:

Linear Equations are mathematical equations that contain variables and constants. These equations are composed of two expressions that are connected by an equality symbol, =.

Steps in converting word problems into linear equations:

  1. Read and understand each word in the statement
  2. Take note of the important words and the unknown/s mentioned in the statement.
  3. Assign variable/s to represent the unknown/s
  4. Translate the words into mathematical equation
  5. Solve for the unknown/s

Linear Inequality is a mathematical expression that uses inequality symbols such as:

  • Greater than- >
  • Less than- <
  • Greater than or equal to- >
  • Less than or equal to- <

Examples:

Linear Equations:

  • Four more than a number is 8.
    • 4 + x = 8
  • Twice a number less than 6 is 16.
    • 2x - 6 = 16
  • The product of 8 and a number decreased by 5 is 34.
    • 8x - 5 = 34

Linear Inequality:

  • The sum of 3x and 4 is at least 34.
    • 3x + 4 > 34
  • The product of 9 and 3x is less than 60.
    • (9)(3x) < 60
  • 5 increased by 5x is greater than 80.
    • 5 + 5x > 80

Solving Word Problems Involving Linear Equations and Linear Inequalities Worksheets

This is a fantastic bundle which includes everything you need to know about Linear Equations & Inequalities across 21 in-depth pages. These are ready-to-use Common core aligned Grade 7 Math worksheets.

Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.

Resource Examples

Click any of the example images below to view a larger version.

Worksheet Activities included:

  • Roller Coaster Ride
  • The Amazing Show
  • Riding A Carousel
  • Target Practice
  • Fireworks Display
  • Amusement Park Map
  • Clown Party
  • Candy Galore
  • Magician’s Boxes
  • The Haunted Mansion

Why download our worksheets?

Fully editable files

Grades K-8

Common core aligned

Printable math worksheets

Can be tailored for your audience

Answer key included

Powerpoint & PDF Format

Includes topic theory

Fully graded worksheets