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 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.

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 5y + 34 = -2(-7y + 1)?

Back

y = 4

Front

What does 'or' mean in inequalities?

Back

In inequalities, 'or' indicates that at least one of the conditions must be true.

Front

What is the solution to the inequality x + 2 < -4 or -5x < -15?

Back

x < -6 or x > 3

Front

How do you check the solution of an equation?

Back

To check the solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 2(4x - 3) - 8 = 4 + 2x?

Back

x = 3

Front

What does the notation -2 ≤ x ≤ 5 represent?

Back

It represents all values of x that are greater than or equal to -2 and less than or equal to 5.