- Translating a Phrase Into a Two-Step Expression
- Translating a Phrase Into a One-Step Expression
- Writing a One-Step Expression For a Real-World Situation
- Evaluating an Expression With One Operation and an Exponent
- Evaluating a Formula
- Evaluating an Algebraic Expression With Two Operations
- Evaluating an Algebraic Expression With Multiplication or Division
- Evaluating an Algebraic Expression With Addition or Subtraction
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Evaluating a Formula
A math formula is an equation that describes the relationship between two or more variables.
When you evaluate a formula, you substitute certain variables with given values and solve for any unknown variable.
For example , the formula for calculating the number of gallons of gasopne (n) purchased,
is given by n = $frac{C}{p}$, where C is the total cost of the gasopne purchased and p is the price per gallon.
Evaluate the formula n = $frac{C}{p}$, to find the number of gallons of gasopne, given that the total cost is $ 75 and the price per gallon is $ 3.98
Solution
Step 1:
The number of gallons’ n is found by replacing the variables C and p with $ 75 and $ 3.98 in given formula
Step 2:
n = $frac{C}{p}$ = $frac{75}{3.98}$ = 18.8 gallons
Step 3:
So, n = 18.8 gallons
Evaluate speed of a car from the formula s = $frac{D}{t}$, given that the distance traveled D is 150 km in time t = 2 hours.
Solution
Step 1:
Given D = 150 km; time t = 2 hours
Step 2:
Speed s = $frac{D}{t}$ = $frac{150}{2}$ = 75 km per hour.
Step 3:
So, Speed s = 75 km per hour.