Solving Equations

The process of solving equations is centered around identifying the unknown variable that validates the equation. This necessitates a comprehension of mathematical functions such as addition, subtraction, multiplication, and division. Additionally, techniques like factoring, cross-multiplication, or the application of the quadratic formula are often utilized in tackling more intricate equations. Essentially, it's all about preserving equilibrium on both sides of the equation.

Solving by Adding/Subtracting

According to a census bureau, from 2000 to 2016 the population of a certain region grew from 261 million to 293 million. What was the percent of increase? The percent of increase is $\square \%$. (Round to one decimal place as needed.)

Solving by Multiplying/Dividing

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false) Explain your reasoning The price of tuition has quintupled since my parents went to school that's a $400 \%$ increase in price Choose the correct answer below. A. The statement makes sense. The percent increase is always divided by 80 to find the factor by which the original price has changed. B. The statement does not make sense. If the tuition quintuples, then the price increases by $500 \%$. C. The statement makes sense A $400 \%$ increase in price corresponds to a price that is $500 \%$ of the original price D. The statement does not make sense. If the tuition quintuples, then the price increases by $300 \%$.

Solving Containing Decimals

Find the percent change if a quantity changes from $P_{1}$ to $P_{2}$. \[ P_{1}=1.9, P_{2}=0.79 \] The percent change is $\%$. (Round to the nearest tenth as needed.)