What is an Equation? An equation says that two things are equal.

Chapters

1. 00:00What is an Equation? An equation says that two things are equal.
2. 00:07What is a Solution? A Solution is a value we can put in place of a variable (such as x)
3. 00:13That makes the equation true
4. 00:16The following steps provide a good method to use when solving linear equations.
5. 00:21Simplify each side of the equation by removing parentheses and combining like terms.
6. 00:27Use addition or subtraction to isolate the variable term on one side of the equation.
7. 00:33Use multiplication or division to solve for the variable.
8. 00:38Solve for z: 7z – (3z – 4) = 12
9. 00:45Step 1. Simplify the left side of the equation by removing parentheses and combining like terms.
10. 00:51Distribute through by -1. 7z – 3z+ 4 = 12
11. 00:59Combine like terms on the left side of the equation. 4z + 4 = 12
12. 01:06Step 2. Use subtraction to isolate the variable term on the left side of the equation.
13. 01:12Subtract 4 from each side of the equation. 4z + 4 – 4 = 12 – 4 4z = 8
14. 01:22Step 3. Use division to solve for the variable. Divide each side of the equation by 4.
15. 01:30The solution to 7z – (3z – 4) = 12 is z = 2.