LEI - Solving Linear Equations (Lesson)

Solving Linear Equations

When we solve an equation, we go through the steps of isolating the variable:

When you are asked to solve for a variable, you follow the same steps. Sometimes you may not be able to combine like terms, but that is OK!

Let's try a few more together:

Solving for a Variable Practice

Here are some practice problems to check your understanding:

1. Solve A  = bh for b.
   
2. Solve d = rt for r.
3. Solve P = 2l + 2w for w.
4. Solve A = (1/2)bh for h.

TO VIEW THE SOLUTIONS ONCE YOU HAVE PRACTICED, CLICK HERE. Links to an external site.

Mr. Jackson would like to take his biology students on a field trip to Ziggy's Zany Zoo. Student tickets cost $5 and adult tickets cost $8. Write an equation to represent the total cost, C, of the field trip tickets.

Let's discuss some important parts of the equation:

If 30 students and 4 adults attend the field trip, what will the cost for tickets be?

C = 5(30) + 8(4) Replace s with 30 and replace a with 4.

C = 150 + 32 Simplify.

C = 182

It will cost $182.00.

Mr. Jackson was given a budget of $300, he must take 6 adult chaperones. How many students can attend the field trip?

300 = 5s + 8(6) Replace C with 300 and replace a with 6.

300 = 5s + 48 Solve for s.

252 = 5s

50.4 = s

Since Mr. Jackson cannot take 0.4 of a student, he'll have to take only 50 because he does not have enough money to take a whole other student.

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