The method of solving by addition or subtraction is a vital component of algebra. This strategy involves maneuvering equations to isolate a variable. The core principle here is that an equation remains stable if the same amount is either added or subtracted from both sides. This principle allows us to shift terms between sides of an equation, simplifying it in the process and facilitating the determination of the variable's value.
| Topic | Problem | Solution |
|---|---|---|
| None | According to a census bureau, from 2000 to 2016 t… | According to a census bureau, from 2000 to 2016 the population of a certain region grew from 261 mi… |
| None | Between 2007 and 2020 , the number of twin births… | Let's denote the number of twin births in 2007 as \(x\). The decrease of 12% from 2007 to 2020 can … |
| None | A child is 20 inches long at birth. If we conside… | Given the function \(f(x)=20+47 \log (x+2)\), where \(x\) represents the child's age in years and \… |
| None | A child is 20 inches long at birth. If we conside… | We are given a child's growth function as \(f(x)=20+47 \log (x+2)\), where \(x\) represents her age… |
| None | At the age of 29 , to save for retirement, you de… | Given that the monthly deposit is $40, the annual interest rate is 6% or 0.06 in decimal form, the … |
| None | The exponential model $A=55.4 e^{0.002 t}$ descri… | The exponential model $A=55.4 e^{0.002 t}$ describes the population, $A$, of a country in millions,… |
| None | Guy invests $S c$ at the beginning of each quarte… | A_1 = A_0(1.01) + c(1.01) = 0(1.01) + c(1.01) = c(1.01) |
| None | Miriam thinks of a whole number. Rounded to the n… | Find the smallest number that rounds to 750 when rounded to the nearest 10 and rounds to 700 when r… |
| None | ind an equation of the form \( y=c+b \log _{a} x … | \( 4 = c + b \log_a{2} \) |