Unit 2 Review Equations, Inequalities

Front

What is an equation?

Back

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

Solve for x: 0.4x - 1.5 = 0.6x + 1.1

Back

x = -13

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 2x - 28 = -7x + 8?

Back

x = 4

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 difference between a linear equation and a nonlinear equation?

Back

A linear equation graphs as a straight line and has no exponents greater than one, while a nonlinear equation can graph as a curve.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

What does it mean when an equation has no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation 3x + 5 = 20?

Back

x = 5.