Literal Equations Worksheet Answer Key
Literal equations are equations that contain variables in the form of letters or symbols. Solving literal equations involves isolating the variable, which is often a letter or symbol, on one side of the equation. In this worksheet, we will provide solutions to common literal equations and provide explanations for each step.
Section 1: Simple Literal Equations
These equations involve basic operations such as addition, subtraction, multiplication, and division.
| Equation | Solution |
|---|---|
| 2x = 6 | x = 3 |
| x/4 = 9 | x = 36 |
| x - 3 = 7 | x = 10 |
| 5x = 20 | x = 4 |
📝 Note: When solving literal equations, it's essential to perform the inverse operation to isolate the variable. For example, if the equation is 2x = 6, we divide both sides by 2 to get x = 3.
Section 2: Literal Equations with Fractions
These equations involve fractions and require careful manipulation to solve.
| Equation | Solution |
|---|---|
| x/2 + 3 = 5 | x/2 = 2, x = 4 |
| 3/4x = 9 | x = 12 |
| x - 1⁄3 = 2⁄3 | x = 1 |
| 2x/3 = 8 | x = 12 |
📝 Note: When solving literal equations with fractions, it's crucial to get rid of the fraction by multiplying both sides by the denominator or adding/subtracting the fraction to isolate the variable.
Section 3: Literal Equations with Decimals
These equations involve decimals and require careful rounding and estimation.
| Equation | Solution |
|---|---|
| 2.5x = 10 | x = 4 |
| x - 0.8 = 2.2 | x = 3 |
| 4x = 12.8 | x = 3.2 |
| x/1.5 = 6 | x = 9 |
📝 Note: When solving literal equations with decimals, it's essential to round the answer to the nearest tenth or hundredth, depending on the context of the problem.
Conclusion
Solving literal equations requires careful attention to detail and a solid understanding of algebraic manipulations. By following the steps outlined in this worksheet, you can become proficient in solving literal equations and develop a strong foundation for more advanced math concepts.
What is a literal equation?
+A literal equation is an equation that contains variables in the form of letters or symbols.
How do I solve a literal equation?
+To solve a literal equation, you need to isolate the variable by performing the inverse operation. For example, if the equation is 2x = 6, you divide both sides by 2 to get x = 3.
What is the difference between a literal equation and a numerical equation?
+A literal equation contains variables in the form of letters or symbols, while a numerical equation contains only numbers.
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