Solving 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

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the 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 3x + 4 = 10?

Back

x = 2.

Front

What is the solution to the inequality 2x - 5 < 3?

Back

x < 4.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you check if a solution is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is a variable?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.

Front

What is the difference between a solution to an equation and a solution to an inequality?

Back

A solution to an equation is a specific value that makes the equation true, while a solution to an inequality is a range of values that satisfy the inequality.