Equations & 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, showing that one is greater than, less than, or not equal to the other.

Front

How do you solve for x in the equation 2x + 3 = 11?

Back

x = 4.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side of the equation by itself.

Front

What is the solution to the inequality x + 5 < 10?

Back

x < 5.

Front

What is the first step in solving the equation 3x - 4 = 11?

Back

Add 4 to both sides to get 3x = 15.

Front

What is the total degree measure in a triangle?

Back

180 degrees.

Front

Write the equation for the situation: A gym charges a $50 fee plus $20 per month. If Jim paid $290, what is the equation?

Back

50 + 20m = 290.

Front

If Scott charges $35 for each car plus $7 per hour, what is the equation for a $63 bill?

Back

7x + 35 = 63.

Front

What does the term 'variable' mean in mathematics?

Back

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