Module 3 Flashcardizz

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

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 the term 'coefficient' refer to in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is the solution to the equation f - 4 = 6f + 26?

Back

The solution is f = -6.

Front

How do you graph an inequality like b ≤ -2?

Back

To graph b ≤ -2, draw a horizontal line at b = -2 and shade the area below the line, including the line itself.

Front

What does the inequality -4 + y < -8 imply about y?

Back

The inequality -4 + y < -8 implies that y < -4.

Front

What is the process for solving the equation 0 = 8z + 8?

Back

To solve 0 = 8z + 8, isolate z by subtracting 8 from both sides and then dividing by 8, resulting in z = -1.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What does it mean to isolate a variable in an equation?

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 significance of the solution to an inequality?

Back

The solution to an inequality represents all the values that satisfy the inequality condition.