Solving Equations with Variables and Positive and Negative Decimals

A letter or symbol that represents a missing number or unknown value. Generally, the letter is lowercase and italicized.

• Operation

• Variable

• Exponent

• Term

A mathematical sentence or statement relating to two equal quantities. When written in mathematical notation, it always contains an equal sign.

For example:  4x + 3 = 11

• Expression

• Inequality

• Operation

• Equation

The operation that reverses or "undoes" the effects of another operation. These are used to isolate a variable when solving equations.

• Reciprocal Operations

• Identity Operations

• Opposite Operations

• Inverse Operations

A value, or values, we can put in place of a variable (such as x) that makes the equation a TRUE statement.

• Solution

• Input

• Output

• Example

solve

• d=-5.23333333.......

• d=5.23333333......

• d=-4.3

• d=4.3

3.45 + R = 67.5

• 64.05

• 70.95

7.5 = 5y

• 15

• 37.5

• 375

• 1.5

solve

• t=1.3

• t=12.9

• t=18

• t=-18

Solve for g:

1.12 + 1.25g = 8.62

• .6

• 6

• .06

• 6.6

When solving an equation with the variable on both sides, it is advisable to first:

• Try and make your variable term positive

• Try and make your variable term negative

• Convert all fractions into decimals

• Plug into your formula

• Randomly Multiply Numbers or Guess

Tags

8.8.C