Equations and Inequalities Test Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

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

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Front

What does it mean to 'isolate a variable'?

Back

Isolating a variable means rearranging an equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation -5x = 25?

Back

x = -5

Front

What is the solution to the equation 3w = 30?

Back

w = 10

Front

Back

It means that x can be any number less than or equal to 10.

Front

Back

x \geq -10

Front

Back

The graph shows a closed circle at 5 and a line extending to the right, indicating all values greater than or equal to 5.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship of one expression being greater than or less than another.