Writing down Variable Expressions Involving Two Operations

A step-by-step guide to Writing down Variable Expressions Involving Two Operations

Variables are considered letters whose values are unknown.
For instance, w is the variable in the expression: 2w\(+\)42

Coefficients are numerical values used along with a variable.
For instance, 2 is the coefficient in the expression 2w\(+\)42.

To identify the operations, you have to write down a mathematical expression and find the keywords.

To convert the description into an expression, you have to use the keywords to do one operation at a time.

Here is a step-by-step guide to writing down variable expressions involving two operations:

1. Identify the operations to be performed: Determine the two operations that need to be performed on the variables in the expression. For example, the operations could be addition and multiplication, or subtraction and division.
2. Write down the expression using variables: Use variables to represent the values in the expression. For example, if you are given the expression “3 + 4x,” you would write “x + 4x.”
3. Use proper mathematical symbols for the operations: Use the appropriate mathematical symbols for the operations identified in step 1. For example, if the operations are addition and multiplication, use the “+” symbol for addition and the “x” symbol for multiplication.
4. Simplify the expression: If possible, simplify the expression by combining like terms and using the distributive property.
5. Check your work: Make sure the expression makes sense and that the answer is in the correct form.

By following these steps, you will be able to write down variable expressions involving two operations.

Remember, the key is to clearly identify the operations to be performed, use variables to represent the values, and use proper mathematical symbols for the operations.

Writing down Variable Expressions Involving Two Operations – Example 1

Write an expression for this sequence of operations.
Multiply f by 9, then multiply w by the result.
Solution:
Step 1: Find the keywords. “Multiply” is a keyword. Now write the expression.
Step 2: Change the first keyword: Multiply f by \(9→ f×9\)
Step 3: Change the second keyword: Multiply w by the result. w\(×\) (result)
Step 4: So, w\((f×9)\)

Writing down Variable Expressions Involving Two Operations – Example 2

Write an expression for this sequence of operations.
Divide 4 by x, then subtract 12 from the result.
Solution:
Step 1: Find the keywords. Divide and subtract the keywords.
Step 2: Change the first keyword: Divide 4 by x→ \(\frac{4}{x}\)
Step 3: Change the second keyword: Subtract 12 from the result→ result \(-12\)
Step 4: So, \(\frac{4}{x}-12\)