How do you determine if two numbers or expressions are equal?
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
What is a statement that the values of two mathematical expressions are equal indicated by the sign =)?
An equation is a mathematical statement where the equal sign is used to show equivalence between a number or expression on one side of the equal sign to the number or expression on the other side of the equal sign. Every equation has two sides (i.e., left and right).
Which equation is a statement of two variables?
linear equation
If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r. The number r is called the constant of the equation ax + by = r.
What is a statement that two mathematical expressions are equal?
equation
An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.
What is an example of numerical expression?
Numeric expressions apply operations to numbers. For example, 2(3 + 8) is a numeric expression. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.
What happens when two expressions are equal to each other?
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable.
How is an equation related to an expression?
An equationis a mathematical statement that two expressions are equal. An equation will always contain an equal sign with an expression on each side. Expressionsare made up of terms, and the number of terms in each expression in an equation may vary. Algebraic equations contain variables, symbols that stand for an unknown quantity.
When to find the value of a variable expression?
To evaluate a variable expression means to find the value of the expression when the variable is (or variables are) replaced by a number (or numbers). Here is a variable expression: #3x+7#.
Which is the true statement of an equation?
An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement. Our goal in solving an equation is to isolate the variable on one side of the equation and a number on the other side so the equation reads: