Equations and Inequalities Review

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 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 inequality -3x + 2 < 8?

Back

x > -2

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation -15 = -4m + 5?

Back

Subtract 5 from both sides to get -20 = -4m.

Front

What does the graph of b ≤ -2 look like?

Back

The graph includes all values of b that are less than or equal to -2, represented by a solid dot at -2 and a line extending to the left.

Front

What is the solution to the equation 6w - 1 = 11?

Back

w = 2

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 a variable in mathematics?

Back

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