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Information about Onestepequations

Lesson over one-step equations I made for my 8th graders.

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Solve an Equation To find all values of a variable that make an equation true

To find all values of a variable that make an equation true

A one-step equation is as straightforward as it sounds. You will only need to perform one step in order to solve the equation.

A one-step equation is as straightforward as it sounds.

You will only need to perform one step in order to solve the equation.

Solving One-Step Equations Inverse Operation Operations that “undo” each other For example, addition “undoes” subtraction and subtraction “undoes” addition. Multiplication is the inverse of division

Inverse Operation

Operations that “undo” each other

For example, addition “undoes” subtraction and subtraction “undoes” addition.

Multiplication is the inverse of division

Solving Equations Using Addition or Subtraction : If a number has been added to the variable, subtract that number from both sides of the equation. If a number has been subtracted from the variable, add that number to both sides of the equation.

If a number has been added to the variable, subtract that number from both sides of the equation.

If a number has been subtracted from the variable, add that number to both sides of the equation.

Example 1: Solve m + 7 = 11 m + 7 = 11 To undo the addition of 7, subtract 7 from both sides of the equal sign. - 7 -7 m = 4 Check the solution. m + 7 = 11 Replace the variable with your answer. (4) + 7 = 11 11 = 11

m + 7 = 11

Example 2: Solve -6 = m - 4 -6 = m - 4 To undo the subtraction of 4, add 4 to both sides of the equal sign. +4 +4 -2 = m Check the solution. -6 = m - 4 Replace the variable with your answer. -6 = (-2) - 4 -6 = -6

-6 = m - 4

Practice j - 3 = -12 -4 + r = 26 +3 +3 j = - 9 +4 +4 r = 30

j - 3 = -12 -4 + r = 26

Solving Equations Using Multiplication or Division If a variable has been multiplied by a nonzero number, divide both sides by that number. If a variable has been divided by a number, multiply both sides by that number.

If a variable has been multiplied by a nonzero number, divide both sides by that number.

If a variable has been divided by a number, multiply both sides by that number.

3 y = 261 To undo the multiplication by 3, divide 3 from both sides of the equal sign. 3 3 y = 87 Check the solution. 3 y = 261 Replace the variable with your answer. 3(87) = 261 261 = 261 Example 3: Solve 3y = 261

3 y = 261

- 1 w = 42 To undo the multiplication of -1 , divide both sides by -1. -1 -1 w = -42 Check the solution. -w = 42 Replace the variable with your answer. - (-42) = 42 42 = 42 Example 4: Use the multiplication property of - 1 - w = 42 -1 is being multiplied to w

- 1 w = 42

Practice -6 x = -36 b = 12 -6 -6 x = 6 (-4) -4 (-4) b = -48

-6 x = -36 b = 12

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