Alex lives in Los Angeles and his best friend Gabriel lives 380 miles away in San Francisco. If he drives at a constant speed of 65 miles per hour all the way there, how long will it take Alex to get to San Francisco? (Assuming he doesn't stop.)
When solving an equation for a variable, you must get the variable by itself. All the equations in this lesson are linear equations. Here we will only deal with using one operation; addition, subtraction, multiplication or division.
7+y=16 for y.
Solution: This problem is simple and you could probably solve it in your head. However, to start good practices, you should always use algebra to solve any equation. Even if the problem seems easy, equations will get more difficult to solve.
Intro Problem Revisited --Set up an equation to represent Alex's travel,
t=d÷65 where t is time and d is distance. Therefore, it takes him t=380÷65 or 5.85 hours to get to Gabriel's house, which is 5 hours and 51 minutes.
Solve the following equations for the given variable. Check your answer.
- Linear Equation
An equation in one variable without exponents. Linear equations are in the form
ax±b=c, where a,b, and care real numbers.
- The opposite operation of a given operation in an equation. For example, subtraction is the inverse of addition and multiplication is the inverse of division.
The reciprocal of
Solve each equation below and check your answer. Reduce any fractions.