Solving & Writing Equations and 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 a linear equation?

Back

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

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

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What is the first step in solving the equation 4x - 5x + 9 = 5x - 9?

Back

Combine like terms on the left side to simplify the equation.

Front

Solve for x: 4x - 5x + 9 = 5x - 9

Back

x = 3

Front

What is the purpose of using inequalities in real-life situations?

Back

Inequalities help to express conditions where one quantity is greater than or less than another, useful in budgeting, planning, and decision-making.

Front

Write an inequality to represent the situation: Ethan has $800 and saves $25 a month, while Faith has $1280 and withdraws $15 a month. When will Ethan have more money?

Back

800 + 25x > 1280 - 15x

Front

What is the solution to the inequality 25 - 0.35n > 37 - 0.25n?

Back

n < 60, meaning you need to make fewer than 60 calls for Plan 2 to be better.