Solving Equations and 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 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 4x + 2(x - 6) = 12?

Back

x = 4

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are an infinite number of values for the variable that satisfy the equation.

Front

What is the solution to the equation 3x + 15 = 3(x + 5)?

Back

Infinitely Many Solutions

Front

How do you represent a real-world scenario with an equation?

Back

Identify the quantities involved, assign variables, and create an equation based on the relationships between those quantities.

Front

Write an equation for Scott's car charging scenario if Kylie's bill was $63.

Back

7x + 35 = 63

Front

What is the solution to the equation 2(2x + 3) = -6(x + 9)?

Back

x = -6

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 the inequality x + 5 ≤ 13 represent?

Back

It represents all values of x that are less than or equal to 8.