: a statement (as in mathematics) that contains at least one blank or unknown and that becomes true or false when the blank is filled or a quantity is substituted for the unknown.

Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

To make a true equation, check your math to make sure that the values on each side of the equals sign are the same. Ensure that the numerical values on both sides of the “=” sign are the same to make a true equation. For example, 9 = 9 is a true equation. 5 + 4 = 9 is a true equation.

A sentence that contains an equal sign (=) is called an equation. An open sentence is a sentence that contains one or more variables that may be true or false depending on what values you substitute for the variables.

In the mathematical sentence ‘3+4=7 3 + 4 = 7 ‘ , the verb is ‘= ‘. A sentence can be (always) true, (always) false, or sometimes true/sometimes false….Need a short break?

A mathematical sentence, also called mathematical statement, statement, or proposal, is a sentence that can be identified as either true or false. For example, ” 6 is a prime number ” is a mathematical sentence or simply statement. Of course, ” 6 is a prime number ” is a false statement!

An open sentence, such as x = 1, is one that may be either true or false depending on the value of x, but a closed sentence, such as 0 = 1 and (∀x) (x = 0) or “All x’s are zero,” is one that has…

An open statement assigns truth values to all the objects in its universe. Usually some receive a T, the rest receive an F. The assignments by “x < 4” to numbers in the the universe {1,2,3,4,5,6,7} in the last example are: 1 T, 2 T, 3 T, 4 F, 5 F, 6 F, 7 F.

Think about it this way: a good opening sentence is the thing you don’t think you can say, but you still want to say….Examples of Great First Sentences (And How They Did It)

1. Revealing Personal Information.
2. Mirroring the Reader’s Pain.
3. Asking the Reader a Question.
4. Shock the Reader.
5. Intrigue the Reader.

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.

An open equation is an equation with one or more variables that may be true or false depending on the values of the variables. An example of and open equation is . – Notice that if , then. As you can see, when , the open equation is true.

An open sentence in math means that it uses variables, meaning that it is not known whether or not the mathematical sentence is true or false. A closed sentence, on the other hand, is a mathematical sentence that is known to be either true or false.

A General Rule for Solving Equations

• Simplify each side of the equation by removing parentheses and combining like terms.
• Use addition or subtraction to isolate the variable term on one side of the equation.
• Use multiplication or division to solve for the variable.