Equations and Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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 inverse operations to get the variable alone on one side of the equation.

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown values that can change, allowing us to express general relationships and solve problems.

Front

What is the value of w in the equation 12 + w = 32?

Back

w = 20.

Front

What is the open sentence for finding the price of a video game that costs z dollars less than $42?

Back

42 - z = ?.

Front

What does it mean if an inequality is true?

Back

It means that the relationship between the two expressions holds, such as one being greater than or less than the other.

Front

What is the solution to the equation x + 8 = 17?

Back

x = 9.