Solving Linear Equations and Inequalities

Front

What is a linear equation?

Back

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the solution to the equation: 5x + 15 = 10x - 40?

Back

x = 11

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

What does it mean to solve an inequality?

Back

To solve an inequality means to find the range of values for the variable that makes the inequality true.

Front

What is the solution to the inequality: 4 - 5y ≥ 10 - 3y?

Back

y ≤ -3

Front

What is the process of isolating a variable in an equation?

Back

Isolating a variable involves rearranging the equation to get the variable on one side and the constants on the other.

Front

What is the solution to the equation: 4x - 3 = 6x - 19?

Back

x = 8

Front

What is the solution to the inequality: -2n - 3 < 2n + 9?

Back

n > -3

Front

What is the distributive property?

Back