In mathematics, a variable combined by multiplication or division with a number is referred to as a term. For example, in the expression (3x), the number 3 is multiplied by the variable (x). Similarly, in the expression (\frac{y}{4}), the variable (y) is divided by the number 4. These operations indicate a relationship between the variable and the constant through multiplication or division.
In pseudocode, you can declare a variable holding real numbers by specifying the variable name followed by its type. For example, you might write REAL numberVariable; or DECLARE numberVariable AS REAL;. This indicates that numberVariable will store a real number value. You can then assign a value to it using an assignment statement, such as numberVariable = 3.14;.
To isolate a variable using multiplication or division, you need to perform the opposite operation on both sides of the equation. For example, if the variable is multiplied by a coefficient, divide both sides by that coefficient to isolate the variable. Conversely, if the variable is divided by a number, multiply both sides by that number. Always ensure to maintain the equality of the equation by applying the same operation to both sides.
Each group of variables and numbers separated by operators is called a "term." In mathematical expressions, terms can be combined using operators such as addition, subtraction, multiplication, and division to form larger expressions or equations. Terms can be constants, variables, or products of both.
Multiplication and division can be used to isolate a variable in an equation. For example, if you have an equation like (2x = 10), you can divide both sides by 2 to solve for (x), resulting in (x = 5). Similarly, if you have (x/4 = 3), you can multiply both sides by 4 to find (x = 12). These operations help maintain the equality of the equation while simplifying it to find the value of the unknown variable.
One step equations?? Require one step (either addition, subtraction, multiplication, or division and only one of these) to solve for the variable.
In pseudocode, you can declare a variable holding real numbers by specifying the variable name followed by its type. For example, you might write REAL numberVariable; or DECLARE numberVariable AS REAL;. This indicates that numberVariable will store a real number value. You can then assign a value to it using an assignment statement, such as numberVariable = 3.14;.
Solving • Work backward to isolate the variable and solve the equation.Multi-Step • Use subtraction to undo addition, and use addition to undo subtraction.Equations • Use multiplication to undo division, and use division to undo multiplication.
To isolate a variable, you need to perform inverse operations to the ones applied to the variable. This involves moving constants to the other side of the equation, and then using operations like addition, subtraction, multiplication, or division to isolate the variable on one side of the equation.
Translate the following phrase into a variable expression. Use the letter d to name the variable. …7 times the distance
Each group of variables and numbers separated by operators is called a "term." In mathematical expressions, terms can be combined using operators such as addition, subtraction, multiplication, and division to form larger expressions or equations. Terms can be constants, variables, or products of both.
Multiplication and division can be used to isolate a variable in an equation. For example, if you have an equation like (2x = 10), you can divide both sides by 2 to solve for (x), resulting in (x = 5). Similarly, if you have (x/4 = 3), you can multiply both sides by 4 to find (x = 12). These operations help maintain the equality of the equation while simplifying it to find the value of the unknown variable.
One step equations?? Require one step (either addition, subtraction, multiplication, or division and only one of these) to solve for the variable.
Base
the coefficient
The coefficient
Solving for a variable involves isolating that variable in an equation to determine its value. This process typically includes using algebraic operations such as addition, subtraction, multiplication, or division to manipulate the equation. The goal is to express the variable in terms of known quantities or constants. For example, in the equation (2x + 3 = 11), solving for (x) would yield (x = 4).
It is called multiplication!