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Linear Equations in One Variable

Answer Keys Here

Aligned To Common Core Standard:

Grade 8 Number System - 8.EE.C.7a

What do the letters (variables) stand for in linear equations? You know what liner equations are, right? Algebraic equations comprise numbers and variables (letters), with one arithmetic operation that needs to be solved. You know what arithmetic operations are, and you also know what digits represent. But variables might scare you and you might get confused as to why they appear in algebraic equations. Before you get on to solving the equations, you might as well have a clear and basic understanding of what variables are. When we see algebraic equations, there are letters such as x, y, z, a, b, m, d. These variables imply that the value of these variables is not known. Usually, when there is a variable in the equation, you have to find the value of the variable using the arithmetic operation that is given. These worksheets and lessons teach students to understand all the parts of linear equations.

Printable Worksheets And Lessons

Homework Sheets

How many solutions are there, solve for x, and story based algebra problems.

  • Homework 1 - We know that if solving an equation yields a statement that is false, like 7=11, then the equation has no solution.
  • Homework 2 - Solve equation algebraically.
  • Homework 3 - 15 more than two times of a certain number is six more than 3 times of that number. What’s the number?

Practice Worksheets

We took all the skills from the homework and mixed them up into these sheets.

  • Practice 1 - Seven less than a number that is more than four times divided by 6 is seventy. What was just described?
  • Practice 2 - Solve for b: 28 = 4(b+12)
  • Practice 3 - Seven times a number plus one is eight.

Math Skill Quizzes

By request, I threw an absolute value problem into the first quiz.

  • Quiz 1 - 40 more than three times of a certain number is twenty more than 5 times of that number. What's the number?
  • Quiz 2 - Solve for the variable in each case.
  • Quiz 3 - What number is being described in each problem?