Solving Equations, Inequalities, and Absolute Value

Front

What is absolute value?

Back

The distance of a number from zero.

Front

Why is absolute value always written as a positive?

Back

Absolute value is talking about distance, distance is always measured by positive numbers.

Front

Solve for x: 10x + 9 = 4x - 9

Back

x = -3

Front

Solve the inequality: -3 + x ≤ -11

Back

x ≤ -8

Front

What is the first step to solve | 2x + 12 | < 8?

Back

2x + 12 < 8 and 2x + 12 > -8

Front

What does it mean when an equation has no solution?

Back

It means there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation 2x - 4 = 10?

Back

x = 7

Front

What is the solution to the inequality 5x + 3 > 18?

Back

x > 3

Front

What is the definition of 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 graph an absolute value inequality?

Back

It means to represent the solutions of the inequality on a number line, showing the range of values that satisfy the condition.