Equations and Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants, such as x + 2 = 5.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other, such as x < 5.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What is the solution to the equation m - 4 = 45?

Back

m = 49.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to both sides of the equation to get the variable alone on one side.

Front

What is the purpose of using an open sentence in mathematics?

Back

An open sentence is used to represent a mathematical relationship that can be solved to find the value of a variable.

Front

What does the term 'like terms' mean?

Back

Like terms are terms in an expression that have the same variable raised to the same power, such as 2x and 3x.

Front

What is the value of x in the equation x + 8 = 17?

Back

x = 9.

Front

What does it mean when an equation has no solution?

Back

An equation has no solution when there is no value for the variable that can make the equation true, such as x + 2 = x.