One-Step Equations:
Number one: x + 6 = 8
Solve: To begin, you must subtract 6 on both sides to get x by itself.
x = 8 When you subtract 6 on both sides, you get x = 8 which is your answer. This is a one-step equation, meaning it only took us a single step in order to solve this equation.
Number two: x - 5 = 15
Solve: To solve this one-step equation, first, start off by adding 5 on both sides. Since it's only one step, your answer will be x = 20. All we had to do was add 5 to isolate the variable.
Two equations that contain fractions:
Number one: x - 1/2 = 2/4
Solve: x - 1/2 = 2/4
To begin, we have to add 1/2 to get x by itself. Since 2/4 and 1/2 don't have common denominators, all we have to do is multiply 1/2 by 2/2 to get a common denominator of 4. 1/2 x 2/2 is equal to 2/4. 2/4 + 2/4 is 4/4 which is equal to 1. Your answer is x = 1.
Number two: x + 3/4 = 2/4
Solve: To begin, we have to subtract 3/4 on both sides. Since 2/4 and 3/4 have a common denominator of 4, we can go ahead and subtract right away. 2/4 - 3/4 is equal to -1/4. x = -1/4.
One equation using distributive property:
Number one: 3(x + 2) = 18
Solve: To begin, we have to distribute the 3 to x and 2 (multiply). We get 3x + 6 = 18. To get x by itself, we have to first subtract 6 on both sides. We then get 3x = 12. Now, divide by 3 on both sides so that x is completely isolated, and we get x = 4.
One equation with decimals:
Number one: x + 0.25 = 0.75
Solve: To begin, we have to subtract 0.25 on both sides. When we do this, 0.75 - 0.25, we get x = .50 We can also write this as a fraction .50 is the same thing as 1/2. x = 1/2 or .50
One real-world problem:
Number one: Maria went to the store and she had 20 dollars to spend. She got a notebook for 5 dollars, and she wanted to buy pens with the rest. Each ben cost 5 dollars, how many pens can she buy in total?
Solve: We know that Maria had a total of 20 dollars in total and she already spent 5 dollars. We also know that each pen cost 5 dollars. When knowing this we can write this equation: 5x + 5 = 20. Since we don't know how many pens she's going to buy, we can just write a variable, in this case, x. Now we solve. Just like always, we need to isolate the variable. To do this, we have to first subtract 5. We then get, 5x = 15. Now, divide by 5 on both sides and we get x = 3. That means that Maria can buy a total of 3 pens.