Expressions/Equations/Inequalities

Front

What does a closed circle on a graph indicate for an inequality?

Back

A closed circle indicates that the value is included in the solution set, used for inequalities with ≥ or ≤.

Front

Which solution is NOT valid for the inequality 17 ≥ w?

Back

w = 18 is not valid because it does not satisfy the inequality.

Front

How do you solve the equation 7 + a/3 = 5?

Back

To solve for a, subtract 7 from both sides to get a/3 = -2, then multiply both sides by 3 to find a = -6.

Front

What is the result of expanding -(-b - 4) by distributing?

Back

The result is b + 4.

Front

How do you write an equation for the total cost of Kasey's lessons if Natalie charges $11 per hour plus a $6 tip for a total of $39?

Back

The equation is 11h + 6 = 39.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the value is not included in the solution set, used for inequalities with > or <.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does it mean to 'distribute' in algebra?

Back

Distributing means to multiply each term inside parentheses by the term outside the parentheses.

Front

How do you check if a solution is valid for an inequality?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.