Solved on Feb 27, 2024
Solve for a variable by rewriting the formula to .
STEP 1
Assumptions
1. We need to fill in the blank with the correct term that completes the statement accurately.
2. The statement pertains to the process of solving a formula for a variable.
STEP 2
Understand the definition of solving a formula for a variable. This process involves manipulating the formula so that the variable of interest is on one side of the equation by itself.
STEP 3
Consider the options given for the blank:
- "isolated on one side"
- "given a numerical value"
- "expressed using like terms"
STEP 4
Analyze the first option: "isolated on one side". This means that all other terms except for the variable of interest are moved to the opposite side of the equation.
STEP 5
Analyze the second option: "given a numerical value". This would imply that the variable is being replaced with a specific number, which is not the process of solving a formula for a variable but rather evaluating the formula at a specific value.
STEP 6
Analyze the third option: "expressed using like terms". This would involve combining terms that are similar, but it does not necessarily result in the variable being by itself on one side of the equation.
STEP 7
Determine which option correctly completes the statement based on the definition of solving a formula for a variable.
STEP 8
Conclude that the correct term to fill in the blank is "isolated on one side" because when solving a formula for a variable, the goal is to rewrite the formula so the variable is alone on one side of the equation.
The completed statement is: Solving a formula for a variable means rewriting the formula so that the variable is isolated on one side.
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