To remove the fraction and leave just □ on its own, we must multiply by 9. This means that □ is being divided by 9. In the equation □/ 9 = 5, the denominator on the bottom of the fraction is 9. For example, □/ 9 = 5 can be solved by multiplying both side of the equation by 9 to get □ = 45. To solve this equation, multiply both sides of the equation by the number on the bottom of the fraction. How to Solve One-Step Equations with FractionsĪ one-step equation with a fraction involves dividing the variable on top of the fraction by the number on the bottom of the fraction. We must also divide the right hand side of the equation by 2. To remove the multiplication by 2, divide by 2 to leave □. To remove the 2, divide both sides of the equation by 2 to leave □ = 5.Ģ□ means 2 multiplied by □. For example, in 2□ = 10, the variable is multiplied by 2. To solve this equation, divide both sides of the equation by this number. How to Solve One-Step Equations with MultiplicationĪ one-step equation involving multiplication will have a number written in front of the variable. The one-step equation is solved to leave □ = 5. For example, in □ – 2 = 3, add 2 to both sides to get □ = 5. To solve a one-step equation that contains the subtraction of a number, add this number from both sides of the equation. How to Solve One-Step Equations with Subtraction We have subtracted 7 from both sides to get □ = 8. For example, in □ + 7 = 15, we remove the + 7 by subtracting 7 from both sides to leave □ = 8. To solve a one-step equation that contains an addition of a number, subtract this number from both sides of the equation. How to Solve One-Step Equations with Addition We will do the opposite of multiplying by 2, which is to divide by 2. We want to remove the multiplication by 2 to leave just □. Here is another example of solving a one-step equation. Subtracting 2 has the effect of removing the + 2.īecause we subtracted 2 to the left hand side of the equation, we subtract 2 from the right hand side of the equation. The opposite of adding 2 is to subtract 2 to both sides of the equation. This is done to both sides of the equals sign in order to leave the variable on its own on one side of the equals sign.įor example, □ + 2 = 6 is a one-step equation involving an addition. For example, if there is an addition, use subtraction, if there is a subtraction use addition, if there is multiplication, use division and if there is division, use multiplication. To solve one-step equations, use the inverse (opposite) of the operation that is acting on the variable. It can be solved in one-step by adding 8 to both sides. When the variable is written in a fraction with a number below it as the denominator, we must multiply by this denominator to solve the equation.įor example, □ – 8 = 3 is an exampe of a one-step equation. We must divide by this number to solve the equation. When the variable has a number in front of it, it is being multiplied by that number. We can see that the variable x subtract a number can be solved by adding this number. We can see that the variable □ plus a number can be solved by subtracting this number. These solving the 4 different types of one step equations are shown in the image below. Because only one operation is needed, one-step equations are used to introduce the concept of solving equations. A single addition, subtraction, multiplication or division is used to find the value of the variable. A one-step equation is an equation that only involves one mathematical operation to solve.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |